Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze286.0ms (2.4%)

Memory

5.5MiB live, 248.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
39.1%	39%	60.9%	0.1%	0%	0%	0%	7
44.5%	44.5%	55.4%	0.1%	0%	0%	0%	8
55.3%	55%	44.5%	0.1%	0%	0.4%	0%	9
59.3%	58.7%	40.4%	0.1%	0%	0.8%	0%	10
65.5%	64.5%	34%	0.1%	0%	1.5%	0%	11
67.8%	66.6%	31.6%	0.1%	0%	1.8%	0%	12

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.0s (33.4%)

Memory

60.4MiB live, 3 224.4MiB allocated

Samples

1.6s	4 448×	1	valid
850.0ms	1 656×	2	valid
781.0ms	2 109×	0	valid
261.0ms	2 130×	0	invalid
34.0ms	43×	3	valid
2.0ms	19×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-pow: 1.5s (54.1% of total)

ival-div: 600.0ms (22.1% of total)

adjust: 232.0ms (8.5% of total)

ival-sub: 182.0ms (6.7% of total)

ival-mult: 108.0ms (4% of total)

ival-add: 98.0ms (3.6% of total)

exact: 11.0ms (0.4% of total)

ival-true: 9.0ms (0.3% of total)

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain519.0ms (4.3%)

Memory

-8.2MiB live, 317.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
191	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
51	86	(-4.198227804562811e-70 -5.903745314543232e+229)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
49	0	-	3	(1.0267881000912527e-268 -2.464033484640581e+50)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
2	0	-	2	(7.382576862894518e-232 7.812694651506723e-279)	`(*.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)))`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(/.f64 i n)`
0	0	-	0	-	`#s(literal 100 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`	cancellation	191	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	118	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	46	0
↳	`(/.f64 i n)`	underflow	46
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	19	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	28
↳	`(/.f64 i n)`	overflow	19
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	19

Confusion

	Predicted +	Predicted -
+	196	0
-	26	34

Precision

0.8828828828828829

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	196	0	0
-	26	0	34

Precision?

0.8828828828828829

Recall?

1.0

Freqs

test

number	freq
0	34
1	116
2	60
3	46

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

133.0ms	294×	1	valid
63.0ms	140×	2	valid
7.0ms	74×	0	valid
4.0ms	4×	3	valid

Compiler

Compiled 187 to 44 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-pow: 97.0ms (54% of total)

ival-div: 50.0ms (27.9% of total)

adjust: 13.0ms (7.2% of total)

ival-sub: 6.0ms (3.3% of total)

ival-add: 6.0ms (3.3% of total)

ival-mult: 6.0ms (3.3% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

preprocess174.0ms (1.4%)

Memory

13.6MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	85
1	82	81
2	242	77
3	934	77
4	3832	77
5	6014	77
0	10	15
0	16	15
1	30	15
2	56	15
3	104	15
4	203	15
5	469	15
6	779	15
7	1236	15
8	1979	15
9	2834	15
10	3306	15
11	3447	15
12	3457	15
13	3458	15
14	3458	15
15	3478	15
16	3486	15
17	3486	15
0	3486	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs

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

(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.1%	(*.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)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify137.0ms (1.1%)

Memory

-3.3MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff	0	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-diff	128	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff	384	(/.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)

Iter	Nodes	Cost
0	10	56
0	16	56
1	30	56
2	56	56
3	104	56
4	203	56
5	469	56
6	779	56
7	1236	56
8	1979	56
9	2834	56
10	3306	56
11	3447	56
12	3457	56
13	3458	56
14	3458	56
15	3478	56
16	3486	56
17	3486	56
0	3486	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) n)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(-.f64 (/.f64 i n) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n

localize293.0ms (2.4%)

Memory

-32.9MiB live, 126.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10017131324130751	(*.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)))
accuracy	11.161705824348402	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	12.047057180220596	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	44.76711079393928	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

162.0ms	37×	0	valid
79.0ms	147×	1	valid
30.0ms	70×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-pow: 46.0ms (63.8% of total)

ival-div: 10.0ms (13.9% of total)

adjust: 6.0ms (8.3% of total)

ival-sub: 3.0ms (4.2% of total)

ival-add: 3.0ms (4.2% of total)

ival-mult: 3.0ms (4.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

4 → 89

Calls

Call 1

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

Outputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
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)))))))
(/ (* 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)
(* 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)
(- (+ (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))))
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(* 100 (/ (* 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))
(- (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)))
(/ (* (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))))
(* 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)))))))))))
(* 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))))))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(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 (+ (* -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 (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(- (+ (exp i) (* -1 (/ (+ (* -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:

Time	Variable		Point	Expression
5.0ms	n	@	0	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
4.0ms	i	@	inf	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms	i	@	-inf	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms	n	@	inf	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
2.0ms	i	@	0	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify170.0ms (1.4%)

Memory

-25.3MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3778
1	1624	3436
2	5511	3215
0	8123	2937

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

Calls

Call 1

Inputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
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)))))))
(/ (* 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)
(* 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)
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(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (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))))
(/ (* 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))
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (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))))
(* 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)))))))))))
(* 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))))))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(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 (+ (* -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 (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(- (+ (exp i) (* -1 (/ (+ (* -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
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 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (fma.f64 (.f64 n i) (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))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
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(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
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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)
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(* 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))))))
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1
#s(literal 1 binary64)
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(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
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(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
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(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
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(* n (+ (log i) (* -1 (log n))))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n)
(* 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)))))))
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
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(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 (expm1.f64 i) n) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n)
(* 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)))
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(* 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)))
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(* 100 (/ (* n (- (exp i) 1)) i))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) n)
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(.f64 (fma.f64 (.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 i) i) n) (/.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) (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))) n)
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(.f64 (fma.f64 (.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) 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)) (/.f64 (expm1.f64 i) i)))) n)
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 (.f64 i (/.f64 (.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 i i)) (/.f64 (exp.f64 i) n) (.f64 (/.f64 (exp.f64 i) n) (/.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))) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 i i)) (/.f64 (exp.f64 i) n) (.f64 (/.f64 (exp.f64 i) n) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (.f64 n n)) (/.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)))) (expm1.f64 i))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (.f64 i (/.f64 (.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (/.f64 (exp.f64 i) n) (/.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) (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) (+ (* -1/4 (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 (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(.f64 (neg.f64 n) (fma.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) (neg.f64 i))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(.f64 (+.f64 (/.f64 (.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) i (/.f64 (/.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) i))) n) (/.f64 (expm1.f64 i) i)) n)
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (.f64 (exp.f64 i) (fma.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) #s(literal -1 binary64) (/.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)))) n) i))) (neg.f64 n))) n) (/.f64 (expm1.f64 i) i)) n)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) n)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (.f64 (exp.f64 i) (fma.f64 (/.f64 (/.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) i) #s(literal 100 binary64) (.f64 #s(literal -50 binary64) i))) (neg.f64 n))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (.f64 (exp.f64 i) (fma.f64 (/.f64 (/.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) i) #s(literal 100 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))) i) #s(literal -100 binary64)))) (neg.f64 n))) (neg.f64 n))))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(fma.f64 (/.f64 (.f64 (exp.f64 i) (fma.f64 (.f64 #s(literal 1/2 binary64) i) i (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n)))) n) #s(literal -1 binary64) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) #s(literal -1 binary64) (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))))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (.f64 (exp.f64 i) (fma.f64 (.f64 #s(literal 1/2 binary64) i) i (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n)))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) #s(literal -1 binary64) (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))))) (neg.f64 n))) n))

rewrite163.0ms (1.4%)

Memory

6.1MiB live, 162.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 498

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(.f64 (/.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (/.f64 (neg.f64 i) n) i)) (neg.f64 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))) (neg.f64 i)) (/.f64 n (/.f64 (neg.f64 i) n)))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal -1 binary64)) (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 i i)) (*.f64 n n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 n i))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) i) (.f64 (/.f64 n i) n))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) n)
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) #s(literal -1 binary64)) n)
(.f64 (.f64 (/.f64 n i) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) (neg.f64 n))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 n) i))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) i))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) i))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.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)) #s(literal -1 binary64)) i))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.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)) #s(literal -1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (pow.f64 n #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) i) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (neg.f64 i)) (/.f64 (pow.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)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) i) (/.f64 (pow.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)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 #s(literal -1 binary64) i) (.f64 (neg.f64 n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (/.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (pow.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)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 n i)))
(.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i 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 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i))))
(.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 n i) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) (pow.f64 i #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(.f64 (/.f64 (neg.f64 n) i) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
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(pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
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(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n))
(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 (/.f64 i n) n))
(/.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))
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(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
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eval91.0ms (0.8%)

Memory: 21.6MiB live, 94.5MiB allocated
Compiler: Compiled 18 454 to 2 126 computations (88.5% saved)

prune29.0ms (0.2%)

Memory

-27.5MiB live, 58.7MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	561	23	584
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	561	24	585

Accuracy

100.0%

Counts

585 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.7%	(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	10.2%	(/.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 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
	73.6%	(/.f64 (.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal -1 binary64) n))
	63.9%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
	72.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	73.4%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	20.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
▶	20.4%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
✓	26.1%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
	16.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
	14.2%	(*.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)))
	16.5%	(*.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)))
	38.9%	(.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)))
	42.2%	(.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)))
	11.4%	(.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)))
	59.6%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	57.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
▶	56.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	72.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
▶	10.5%	(.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))))
▶	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	10.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	53.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 157 to 746 computations (35.5% saved)

simplify172.0ms (1.4%)

Memory

26.8MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (log.f64 i) (log.f64 n))
cost-diff	0	(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
cost-diff	0	(.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))))
cost-diff	0	(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
cost-diff	0	(/.f64 #s(literal -1 binary64) i)
cost-diff	128	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
cost-diff	896	(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
cost-diff	512	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	960	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
cost-diff	0	(*.f64 #s(literal 100 binary64) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
cost-diff	0	(/.f64 (expm1.f64 i) i)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	391
0	81	389
1	154	389
2	333	385
3	930	385
4	2838	385
5	7168	385
0	8118	366

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#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 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(*.f64 n i)
n
i
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
i
n
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
#s(literal 1 binary64)
(.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))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
n
(/.f64 (*.f64 n n) i)
(*.f64 n 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 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
n
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n))
(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)
(*.f64 n i)
n
i
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
(*.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
i
n
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
#s(literal 1 binary64)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) #s(literal 100 binary64))
#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)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
(.f64 (/.f64 (.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)
n
(/.f64 (*.f64 n n) i)
(*.f64 n n)

localize246.0ms (2%)

Memory

-30.4MiB live, 179.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05144501953688403	(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
accuracy	0.18227257069442182	(-.f64 (log.f64 i) (log.f64 n))
accuracy	2.550140777521464	(/.f64 (*.f64 n n) i)
accuracy	12.369240025031292	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
accuracy	0.02860128162065376	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
accuracy	0.046875	(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
accuracy	4.117187500000001	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	13.027474618722968	(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
accuracy	0.05859375	(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy	1.914831832993292	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
accuracy	1.9456722979593166	(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)))
accuracy	7.729425837151555	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
accuracy	0.0	(*.f64 #s(literal 100 binary64) n)
accuracy	10.357489438885247	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0.00390625	(/.f64 (expm1.f64 i) i)
accuracy	0.0078125	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy	0.015625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	6.942188566583528	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))

Samples

89.0ms	176×	0	invalid
49.0ms	48×	1	valid
18.0ms	15×	2	valid
5.0ms	16×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 712 to 94 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-pow: 44.0ms (32% of total)

ival-div: 28.0ms (20.4% of total)

ival-mult: 20.0ms (14.6% of total)

ival-add: 17.0ms (12.4% of total)

const: 8.0ms (5.8% of total)

adjust: 7.0ms (5.1% of total)

ival-sub: 6.0ms (4.4% of total)

ival-log: 5.0ms (3.6% of total)

ival-expm1: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series252.0ms (2.1%)

Memory

36.7MiB live, 151.4MiB allocated

Counts

21 → 182

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
#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) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(/.f64 #s(literal -1 binary64) i)
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
(.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))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (*.f64 n 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))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
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)))))))
(- 1/2 (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(+ 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 n)) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ n (+ (* -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)
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/ -1 i)
(/ n i)
(/ (+ n (* i n)) i)
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i)
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (* (pow n 2) (- (log i) (log n))) i)
(- (log i) (log n))
(+ 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)))))))
(/ (pow n 2) 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 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (- (exp i) 1) i))
(/ (- (exp i) 1) 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))))
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* (pow n 2) (- (* -1 (log (/ 1 i))) (log n))) i)
(- (* -1 (log (/ 1 i))) (log n))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(* 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))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))
(* -1 (* i (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) 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))
(* -1 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))) i))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i)))) i))
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)))) i))
(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ (* (pow n 2) (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))) i)
(- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))
(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)))))))))))
(* 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)
(* 1/3 (/ i (pow n 2)))
(/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) (pow n 2))
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) (pow n 2))
(/ (* (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))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)))
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i)))
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i)))
(/ 1/3 (pow n 2))
(+ 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))))))))
(* 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 (+ 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)))))
(+ 1/2 (* 1/6 i))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(* n (- (/ (exp i) i) (/ 1 i)))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(/ (* n (exp i)) i)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)
(- (log i) (* -1 (log (/ 1 n))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(* -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 (* i (+ 1/2 (* 1/6 i)))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(* -1 (* 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 (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)))))
(/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (/ 1/3 (* n n)) (pow (+ (/ i n) 1) n) (/ (* n n) i))
67.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (/ 1/3 (* n n)) (pow (+ (/ i n) 1) n) (/ (* n n) i))
45.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (/ 1/3 (* n n)) (pow (+ (/ i n) 1) n) (/ (* n n) i))
23.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (/ 1/3 (* n n)) (pow (+ (/ i n) 1) n) (/ (* n n) i))
23.0ms	n	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (/ 1/3 (* n n)) (pow (+ (/ i n) 1) n) (/ (* n n) i))

simplify227.0ms (1.9%)

Memory

-6.9MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	6200
1	2542	5744
0	8174	5322

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 181

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))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
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)))))))
(- 1/2 (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(+ 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 n)) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
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(- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n)))
(- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(* n (- (/ (exp i) i) (/ 1 i)))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(/ (* n (exp i)) i)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)
(- (log i) (* -1 (log (/ 1 n))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(* -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 (* i (+ 1/2 (* 1/6 i)))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(* -1 (* 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 (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)))))
(/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))

Outputs
(* 100 n)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 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 #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 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 n #s(literal 100 binary64)))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)
(- 1/2 (* 1/2 (/ 1 n)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ 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 n)) i)
(/.f64 #s(literal 0 binary64) i)
(/ (+ n (+ (* -1 n) (* i n))) i)
(/.f64 (fma.f64 n i #s(literal 0 binary64)) i)
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i)
(/ (+ n (+ (* -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)
(/.f64 (fma.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 #s(literal 0 binary64)) i)
(* 100 (/ (+ n (* -1 n)) i))
(/.f64 #s(literal 0 binary64) i)
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/.f64 (fma.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i #s(literal 0 binary64)) i)
(/ -1 i)
(/.f64 #s(literal -1 binary64) i)
(/ n i)
(/.f64 n i)
(/ (+ n (* i n)) i)
(/.f64 (fma.f64 n i n) i)
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i)
(/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i)
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (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 n) i)
(/ (* (pow n 2) (- (log i) (log n))) i)
(.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (.f64 n n))
(- (log i) (log n))
(-.f64 (log.f64 i) (log.f64 n))
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 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))
(/ (pow n 2) i)
(/.f64 (*.f64 n n) i)
(* 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 #s(literal 100 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))) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) 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) (fma.f64 n (.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.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)))) 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 (pow.f64 n #s(literal 3 binary64)) i))) (.f64 (.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) #s(literal 100 binary64))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 100 (/ (- (exp i) 1) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))
(.f64 (.f64 (.f64 i i) n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(.f64 (.f64 n (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) (.f64 i 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))))
(.f64 (fma.f64 n (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (/.f64 n i) i)) (*.f64 i i))
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 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)) i)
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) i) n) (/.f64 #s(literal 1/2 binary64) n))) i)
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(/ (* n (exp i)) i)
(*.f64 (/.f64 (exp.f64 i) i) n)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (exp.f64 i) i)) n)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))
(.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.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) i) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (exp.f64 i) i))) n)
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(.f64 (fma.f64 (/.f64 (exp.f64 i) 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)) (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (exp.f64 i) i))) n)
(/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)
(.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (.f64 n n))
(- (log i) (* -1 (log (/ 1 n))))
(-.f64 (log.f64 i) (log.f64 n))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (.f64 i (/.f64 (.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (/.f64 (exp.f64 i) n) (/.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) (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) (+ (* -1/4 (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 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) (/.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) i))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (.f64 (.f64 #s(literal 100 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)))) n) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1)))
(*.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(*.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) (/.f64 i n) #s(literal -1 binary64))) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) (.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64))) n)) #s(literal -1 binary64)) (neg.f64 n))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i))) (neg.f64 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)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (.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) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.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))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (.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) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) n (/.f64 n i)))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.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))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) n (/.f64 n i)))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(.f64 (.f64 #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) n)
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) (/.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) i))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (.f64 (.f64 #s(literal 100 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)))) n) i))) (neg.f64 n))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (exp.f64 i) (neg.f64 i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (.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) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.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))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) (neg.f64 n))
(/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)
(.f64 (-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (.f64 n n) i))
(- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (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))

rewrite224.0ms (1.9%)

Memory

-9.3MiB live, 150.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	314
0	81	308
1	342	308
2	2807	300
0	8285	284

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 583

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
#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) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(/.f64 #s(literal -1 binary64) i)
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
(.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))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (*.f64 n n) i)

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (.f64 i #s(literal 2 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
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eval161.0ms (1.3%)

Memory: -1.5MiB live, 123.7MiB allocated
Compiler: Compiled 29 791 to 3 544 computations (88.1% saved)

prune104.0ms (0.9%)

Memory

-3.5MiB live, 75.6MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	729	30	759
Fresh	7	11	18
Picked	3	2	5
Done	0	1	1
Total	739	44	783

Accuracy

100.0%

Counts

783 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.2%	(/.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 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
	72.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	73.4%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
▶	14.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
	4.5%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) i) n)))
	11.0%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
✓	26.1%	(*.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)))
▶	14.2%	(*.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)))
	42.2%	(.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)))
	11.4%	(.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)))
	59.6%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	57.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	59.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
	54.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
	14.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
	72.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	14.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
	11.4%	(.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 i) n))))
	16.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
	16.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
	40.9%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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))))
	6.9%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
▶	59.4%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
	59.3%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))))
	4.8%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
	56.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
	72.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
	58.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
▶	76.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
✓	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	30.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
	10.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	58.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
✓	53.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
	56.3%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
	53.4%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
▶	16.8%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))

Compiler

Compiled 2 850 to 1 811 computations (36.5% saved)

simplify174.0ms (1.4%)

Memory

15.9MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 n n) i)
cost-diff	0	(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
cost-diff	0	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
cost-diff	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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
cost-diff	512	(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
cost-diff	832	(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
cost-diff	0	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
cost-diff	128	(*.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)))
cost-diff	384	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))
cost-diff	0	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
cost-diff	704	(/.f64 #s(literal 0 binary64) i)
cost-diff	0	(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	525
0	100	519
1	204	515
2	497	511
3	1670	506
4	4520	489
5	7386	489
0	8027	463

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
#s(literal 1 binary64)
(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
i
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.f64 i)
#s(literal 100 binary64)
n
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
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)))
#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(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
(+.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
i
(/.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
n
(*.f64 i (/.f64 i n))
i
(/.f64 i n)
(fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n)
(fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 n n) i)
(*.f64 n n)
n
i
(log.f64 (/.f64 i n))
(/.f64 i n)
#s(literal 100 binary64)

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
(.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
#s(literal 1 binary64)
(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
i
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.f64 i)
#s(literal 100 binary64)
n
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
#s(literal 0 binary64)
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 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#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 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) n (neg.f64 n)) i)
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) i)
(+.f64 i #s(literal 1 binary64))
#s(literal 1 binary64)
i
(/.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 #s(literal 1/3 binary64) n)) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 #s(literal 1/3 binary64) n)) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n)))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 #s(literal 1/3 binary64) n)) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 #s(literal 1/3 binary64) n)) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n)
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 i n) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
n
(*.f64 i (/.f64 i n))
(*.f64 (/.f64 i n) i)
i
(/.f64 i n)
(fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n)
(fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (log.f64 (/.f64 i n)) (/.f64 (.f64 n n) i)))
(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
(.f64 (log.f64 (/.f64 i n)) (/.f64 (.f64 n n) i))
(/.f64 (*.f64 n n) i)
(*.f64 n n)
n
i
(log.f64 (/.f64 i n))
(/.f64 i n)
#s(literal 100 binary64)

localize327.0ms (2.7%)

Memory

-13.3MiB live, 377.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.11758071226173908	(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
accuracy	3.86948293410109	(/.f64 (*.f64 n n) i)
accuracy	7.99038922328479	(log.f64 (/.f64 i n))
accuracy	21.037252350757864	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
accuracy	0.08454631324130751	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
accuracy	0.1875	(/.f64 #s(literal 1/3 binary64) n)
accuracy	1.196747597359384	(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
accuracy	14.903672265258525	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
accuracy	0.08454631324130751	(*.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)))
accuracy	5.410449890810792	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))
accuracy	9.377123431372828	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
accuracy	26.24832070032528	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal 0 binary64) i)
accuracy	25.227818579591265	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
accuracy	0.05859375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
accuracy	0.06640625	(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
accuracy	8.378189258335457	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))

Samples

111.0ms	69×	1	valid
73.0ms	47×	2	valid
48.0ms	96×	0	invalid
12.0ms	30×	0	exit
6.0ms	13×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 895 to 133 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 59.0ms (26.9% of total)

ival-pow: 50.0ms (22.8% of total)

ival-div: 45.0ms (20.5% of total)

ival-add: 20.0ms (9.1% of total)

adjust: 19.0ms (8.7% of total)

const: 12.0ms (5.5% of total)

ival-sub: 5.0ms (2.3% of total)

ival-log: 5.0ms (2.3% of total)

ival-expm1: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series153.0ms (1.3%)

Memory

10.4MiB live, 167.4MiB allocated

Counts

20 → 167

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(/.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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 n n) i)
(/.f64 #s(literal 1/3 binary64) n)
(log.f64 (/.f64 i n))

Outputs
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
1/100
(+ 1/100 (* -1/200 i))
(+ 1/100 (* i (- (* 1/1200 i) 1/200)))
(+ 1/100 (* i (- (* i (+ 1/1200 (* -1/72000 (pow i 2)))) 1/200)))
0
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
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)))))))
(+ 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)))))
(/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)
(/ (pow n 2) i)
(+ (log i) (log (/ 1 n)))
(* 100 (/ (- (exp i) 1) 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 (/ (* n (- (exp i) 1)) i))
(* 1/100 (/ i (- (exp i) 1)))
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (* 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)
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(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(+ (log (* -1 i)) (log (/ -1 n)))

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	i	@	-inf	((/ 1 (/ i (* (- (exp i) 1) 100))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (/ i (* (- (exp i) 1) 100)) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 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) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (* n n) i) (log (/ i n))) (/ (* n n) i) (/ 1/3 n) (log (/ i n)))
23.0ms	i	@	inf	((/ 1 (/ i (* (- (exp i) 1) 100))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (/ i (* (- (exp i) 1) 100)) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 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) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (* n n) i) (log (/ i n))) (/ (* n n) i) (/ 1/3 n) (log (/ i n)))
19.0ms	n	@	-inf	((/ 1 (/ i (* (- (exp i) 1) 100))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (/ i (* (- (exp i) 1) 100)) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 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) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (* n n) i) (log (/ i n))) (/ (* n n) i) (/ 1/3 n) (log (/ i n)))
16.0ms	i	@	0	((/ 1 (/ i (* (- (exp i) 1) 100))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (/ i (* (- (exp i) 1) 100)) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 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) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (* n n) i) (log (/ i n))) (/ (* n n) i) (/ 1/3 n) (log (/ i n)))
15.0ms	n	@	0	((/ 1 (/ i (* (- (exp i) 1) 100))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (/ i (* (- (exp i) 1) 100)) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 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) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (* n n) i) (log (/ i n))) (/ (* n n) i) (/ 1/3 n) (log (/ i n)))

simplify207.0ms (1.7%)

Memory

6.9MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	5765
1	2389	5267
2	7858	5255
0	8105	4842

Stop Event

1×	iter limit
1×	node limit

Counts

167 → 165

Calls

Call 1

Inputs
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
1/100
(+ 1/100 (* -1/200 i))
(+ 1/100 (* i (- (* 1/1200 i) 1/200)))
(+ 1/100 (* i (- (* i (+ 1/1200 (* -1/72000 (pow i 2)))) 1/200)))
0
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
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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(/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) 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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(* (pow i 2) (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))))
(* (pow i 2) (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2))))))
(* (pow i 2) (+ (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2))))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2)))))))
(/ (* (pow n 2) (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))) i)
(+ (log (/ -1 n)) (* -1 (log (/ -1 i))))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(/ (* (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))))))
(* 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))))))))
(* 1/3 (/ (pow i 2) (pow n 2)))
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
(* 1/3 (/ (pow i 2) n))
(/ (+ (* 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)
(/ 1/3 n)
(+ (log i) (* -1 (log n)))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(/ (* 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 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* 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)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* 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)))
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(+ (log (* -1 i)) (log (/ -1 n)))

Outputs
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))
(* 100 n)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 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 #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 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 n #s(literal 100 binary64)))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
1/100
#s(literal 1/100 binary64)
(+ 1/100 (* -1/200 i))
(fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64))
(+ 1/100 (* i (- (* 1/1200 i) 1/200)))
(fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64))
(+ 1/100 (* i (- (* i (+ 1/1200 (* -1/72000 (pow i 2)))) 1/200)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64))
0
#s(literal 0 binary64)
(* 100 (/ (+ n (* -1 n)) i))
(/.f64 #s(literal 0 binary64) i)
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/.f64 (fma.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i #s(literal 0 binary64)) i)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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
(* 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)
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))
(+ 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))
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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 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(fma.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) i) i (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* n (+ 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)) n)
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)
(* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) i) i (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) (/.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) n))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (.f64 (.f64 #s(literal 100 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)))) n) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(.f64 (.f64 #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) n)
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) (/.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) n))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (.f64 (.f64 #s(literal 100 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)))) n) i))) (neg.f64 n))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) (neg.f64 i))) (neg.f64 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)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (.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) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.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))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (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))) (neg.f64 n)) (expm1.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 i)) (.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (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))
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/3 binary64))) n)))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(*.f64 (neg.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 n))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) (neg.f64 n)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (neg.f64 n))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (.f64 n n) i))
(+ (log (* -1 i)) (log (/ -1 n)))
(+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))

rewrite158.0ms (1.3%)

Memory

-2.0MiB live, 231.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	388
0	100	382
1	483	372
2	4283	372
0	8335	349

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 301

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n)
(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(/.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) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n))))
(.f64 (/.f64 (.f64 n n) i) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 n n) i)
(/.f64 #s(literal 1/3 binary64) n)
(log.f64 (/.f64 i n))

Outputs
(*.f64 (pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64)) #s(literal 100 binary64))
(.f64 (.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 100 binary64)) (expm1.f64 i))
(.f64 (.f64 (pow.f64 i #s(literal -1 binary64)) (expm1.f64 i)) #s(literal 100 binary64))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) (expm1.f64 i)))
(.f64 (/.f64 #s(literal -1 binary64) i) (pow.f64 (pow.f64 (.f64 #s(literal -100 binary64) (expm1.f64 i)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) i) (.f64 #s(literal -100 binary64) (expm1.f64 i)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i (.f64 #s(literal -100 binary64) (expm1.f64 i))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(pow.f64 (exp.f64 (log.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) #s(literal 1 binary64))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(/.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal -100 binary64) (expm1.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
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(neg.f64 (/.f64 (*.f64 n n) (neg.f64 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 i n) n)) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) n))
(pow.f64 (/.f64 (*.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 n #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 n))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1/3 binary64) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) n))
(exp.f64 (.f64 (log.f64 (.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 n i)))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 (*.f64 n i)))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 i) (log.f64 i) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 i) (log.f64 n)))))
(neg.f64 (log.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 n i)))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 n i)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (neg.f64 (neg.f64 i))) (log.f64 (neg.f64 (neg.f64 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 n i))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 n i)))
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
(+.f64 (log.f64 (neg.f64 i)) (log.f64 (pow.f64 (neg.f64 n) #s(literal -1 binary64))))
(+.f64 (log.f64 i) (neg.f64 (log.f64 n)))
(+.f64 (log.f64 (/.f64 i n)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))

eval74.0ms (0.6%)

Memory: 1.1MiB live, 89.5MiB allocated
Compiler: Compiled 21 804 to 2 287 computations (89.5% saved)

prune39.0ms (0.3%)

Memory

-13.4MiB live, 65.4MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	444	19	463
Fresh	16	20	36
Picked	3	2	5
Done	0	3	3
Total	463	44	507

Accuracy

100.0%

Counts

507 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.2%	(/.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 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
	13.4%	(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	72.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	73.4%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	14.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
✓	14.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
	16.5%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
▶	14.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
	16.5%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
	4.5%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) i) n)))
	11.0%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
✓	26.1%	(*.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)))
	42.2%	(.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)))
	11.4%	(.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)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
▶	59.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
	54.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
	11.4%	(.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 i) n))))
	40.9%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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))))
✓	59.4%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
▶	57.1%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))))
	56.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
	58.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
	72.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
▶	76.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
	58.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
	58.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
	63.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
	62.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
✓	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	30.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
	10.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
	58.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
✓	53.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
	56.5%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
	56.3%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
	53.4%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
▶	16.8%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 2 787 to 1 776 computations (36.3% saved)

simplify154.0ms (1.3%)

Memory

6.9MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 n n)
cost-diff	0	(.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
cost-diff	0	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
cost-diff	0	(fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
cost-diff	192	(fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
cost-diff	0	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)))
cost-diff	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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))))
cost-diff	0	#s(approx (/ 0 i) #s(literal 0 binary64))
cost-diff	0	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
cost-diff	0	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
cost-diff	0	(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
cost-diff	0	(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	728
0	111	722
1	222	722
2	496	710
3	1281	700
4	3235	661
5	7354	661
0	8355	628

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
n
(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
i
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(literal 100 binary64)
(expm1.f64 i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
#s(approx (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
n
i
#s(literal 1 binary64)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n))
(fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)
(*.f64 n i)
n
i
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n))))
(fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)
(fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)))
#s(literal -1/3 binary64)
(/.f64 i n)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
(.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
(*.f64 n n)
n
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(/.f64 i n)
i
#s(literal 100 binary64)

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 n (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 n (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
n
(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
i
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
#s(literal 100 binary64)
(expm1.f64 i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
#s(approx (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
n
i
#s(literal 1 binary64)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #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 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n)))) (*.f64 n i) n))
(fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n)))) (*.f64 n i) n)
(*.f64 n i)
n
i
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n))))
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n))))
(fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))
(fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n)))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64)) n)
(fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))
#s(literal -1/3 binary64)
(/.f64 i n)
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 n i) n) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 (/.f64 n i) n) (log.f64 (/.f64 i n))))
(.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
(.f64 (.f64 (/.f64 n i) n) (log.f64 (/.f64 i n)))
(*.f64 n n)
n
(/.f64 (log.f64 (/.f64 i n)) i)
(log.f64 (/.f64 i n))
(/.f64 i n)
i
#s(literal 100 binary64)

localize261.0ms (2.2%)

Memory

12.2MiB live, 294.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (log.f64 (/.f64 i n)) i)
accuracy	4.136901932753966	(.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
accuracy	7.99038922328479	(log.f64 (/.f64 i n))
accuracy	21.037252350757864	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
accuracy	0.0390625	(fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)))
accuracy	0.08454631324130751	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
accuracy	4.282093603754306	(fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)
accuracy	14.903672265258525	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n))
accuracy	0.08454631324130751	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))))
accuracy	1.196747597359384	(.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
accuracy	14.903672265258525	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)))
accuracy	15.436832875205752	#s(approx (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
accuracy	0.0	#s(approx (/ 0 i) #s(literal 0 binary64))
accuracy	25.227818579591265	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
accuracy	0.015625	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
accuracy	0.06640625	(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
accuracy	0.08203125	(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
accuracy	8.378189258335457	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))

Samples

84.0ms	70×	1	valid
61.0ms	36×	2	valid
45.0ms	96×	0	invalid
15.0ms	30×	0	exit
11.0ms	23×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 1 134 to 155 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow: 47.0ms (25.4% of total)

ival-mult: 39.0ms (21.1% of total)

ival-div: 29.0ms (15.7% of total)

ival-add: 23.0ms (12.4% of total)

adjust: 19.0ms (10.3% of total)

const: 11.0ms (5.9% of total)

ival-sub: 7.0ms (3.8% of total)

ival-expm1: 4.0ms (2.2% of total)

ival-log: 4.0ms (2.2% of total)

exact: 1.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory

-19.8MiB live, 96.3MiB allocated

Counts

21 → 143

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))))
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(+ 1/2 (* 1/2 i))
(+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i)))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* 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 (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ (log (* -1 i)) (log (/ -1 n)))
(/ (+ (log (* -1 i)) (log (/ -1 n))) i)

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ n (/ i (* 100 (- (exp i) 1)))) (/ i (* 100 (- (exp i) 1))) (* 100 (- (exp i) 1)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 i) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) n) (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (log (/ i n)) i)) (* n n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (log (/ i n)) (/ (log (/ i n)) i))
13.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ n (/ i (* 100 (- (exp i) 1)))) (/ i (* 100 (- (exp i) 1))) (* 100 (- (exp i) 1)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 i) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) n) (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (log (/ i n)) i)) (* n n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (log (/ i n)) (/ (log (/ i n)) i))
12.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ n (/ i (* 100 (- (exp i) 1)))) (/ i (* 100 (- (exp i) 1))) (* 100 (- (exp i) 1)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 i) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) n) (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (log (/ i n)) i)) (* n n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (log (/ i n)) (/ (log (/ i n)) i))
11.0ms	n	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ n (/ i (* 100 (- (exp i) 1)))) (/ i (* 100 (- (exp i) 1))) (* 100 (- (exp i) 1)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 i) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) n) (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (log (/ i n)) i)) (* n n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (log (/ i n)) (/ (log (/ i n)) i))
9.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ n (/ i (* 100 (- (exp i) 1)))) (/ i (* 100 (- (exp i) 1))) (* 100 (- (exp i) 1)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 i) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) n) (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (* 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)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (log (/ i n)) i)) (* n n) (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (log (/ i n)) (/ (log (/ i n)) i))

simplify174.0ms (1.4%)

Memory

17.6MiB live, 138.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	4376
1	2143	4065
2	7307	4059
0	8112	3742

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 142

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))))))))))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
1/100
(+ 1/100 (* -1/200 i))
(+ 1/100 (* i (- (* 1/1200 i) 1/200)))
(+ 1/100 (* i (- (* i (+ 1/1200 (* -1/72000 (pow i 2)))) 1/200)))
(* 100 i)
(* i (+ 100 (* 50 i)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
0
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)))))))
1/2
(+ 1/2 (* i (- 1/2 (* 1/3 (/ 1 n)))))
(/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)
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)))))
(+ (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)
(* 100 (/ (* n (- (exp i) 1)) i))
(* 1/100 (/ i (- (exp i) 1)))
(* 100 (- (exp i) 1))
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (* 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))))
(* i (- 1/2 (* 1/3 (/ 1 n))))
(* i (- (+ 1/2 (* 1/2 (/ 1 i))) (* 1/3 (/ 1 n))))
(/ (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) i)
(* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n)))))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(/ (+ (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))
(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))
(/ (* 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))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))
(* (pow i 2) (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2))))))
(* (pow i 2) (+ (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2))))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2)))))))
(* -1 (* i (- (* 1/3 (/ 1 n)) 1/2)))
(* -1 (* i (- (* 1/3 (/ 1 n)) (+ 1/2 (* 1/2 (/ 1 i))))))
(/ (* (pow n 2) (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))) i)
(* (pow i 2) (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (* 1/3 (/ 1 (pow n 2)))))
(* (pow i 2) (- (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (/ 1/2 (* i n))))
(* (pow i 2) (+ (* -1 (- (* 1/2 (/ 1 n)) 1/6)) (+ (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i)) i)) (* 1/3 (/ 1 (pow n 2))))))
(+ (log (/ -1 n)) (* -1 (log (/ -1 i))))
(/ (+ (log (/ -1 n)) (* -1 (log (/ -1 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 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(/ (* (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))))
(* 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)
(* -1/3 (/ i n))
(/ (+ (* -1/3 i) (* n (+ 1/2 (* 1/2 i)))) n)
(pow n 2)
(* 1/3 (/ (pow i 2) (pow n 2)))
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))
(+ (log i) (* -1 (log n)))
(/ (+ (log i) (* -1 (log n))) i)
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(/ (* 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)))))
(* 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)))))
(+ 1/2 (* 1/2 i))
(+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i)))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* 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 (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(+ (log (* -1 i)) (log (/ -1 n)))
(/ (+ (log (* -1 i)) (log (/ -1 n))) i)

Outputs
(* 100 n)
(*.f64 n #s(literal 100 binary64))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 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 n #s(literal 100 binary64)))
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))
1/100
#s(literal 1/100 binary64)
(+ 1/100 (* -1/200 i))
(fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64))
(+ 1/100 (* i (- (* 1/1200 i) 1/200)))
(fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64))
(+ 1/100 (* i (- (* i (+ 1/1200 (* -1/72000 (pow i 2)))) 1/200)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64))
(* 100 i)
(*.f64 i #s(literal 100 binary64))
(* i (+ 100 (* 50 i)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)
(* 100 (/ (+ n (* -1 n)) i))
(/.f64 #s(literal 0 binary64) i)
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64)) i #s(literal 0 binary64)) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/.f64 (fma.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i #s(literal 0 binary64)) i)
0
#s(literal 0 binary64)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* i (- 1/2 (* 1/3 (/ 1 n)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))
(/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)
(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
1
#s(literal 1 binary64)
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
(+ (log i) (log (/ 1 n)))
(-.f64 (log.f64 i) (log.f64 n))
(/ (+ (log i) (log (/ 1 n))) i)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(* 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 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (.f64 (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 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 (/ (* (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 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (.f64 i i))) (.f64 (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 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 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) n (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (pow.f64 n (neg.f64 n)) i) (/.f64 (pow.f64 i n) i)) (/.f64 (.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(* 1/100 (/ i (- (exp i) 1)))
(*.f64 (/.f64 i (expm1.f64 i)) #s(literal 1/100 binary64))
(* 100 (- (exp i) 1))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(.f64 (.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (.f64 (.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i))
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(* n (+ 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)) n)
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(*.f64 (fma.f64 i (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)
(* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/3 binary64) i) n) (/.f64 i n) (fma.f64 i (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n)
(+ 1/2 (* 1/2 i))
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(fma.f64 i (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) i) n) (/.f64 i n) (fma.f64 i (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 100 binary64) (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) (/.f64 (exp.f64 i) n) (.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) (neg.f64 n))) (neg.f64 n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 100 binary64) (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 (exp.f64 i) i) (.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(.f64 (.f64 #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) n)
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i))) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 100 binary64) (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) (/.f64 (exp.f64 i) n) (.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 100 binary64) (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 (exp.f64 i) i) (.f64 (.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(.f64 (fma.f64 (/.f64 (.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i))) (neg.f64 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)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (.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) n) (exp.f64 i))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.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))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n))
(* -1 (* n (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n) i (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i))) (neg.f64 n))
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1)))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) (.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64))) n)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 n))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 i (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)))) n)
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))
(.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (*.f64 i (/.f64 i n)) #s(literal 1/3 binary64))) (neg.f64 n)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) (neg.f64 n))
(/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)
(.f64 (+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (.f64 n n) i))
(+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) (.f64 (.f64 i (/.f64 i n)) #s(literal -1/3 binary64))) 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)

rewrite166.0ms (1.4%)

Memory

-16.5MiB live, 99.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	603
0	111	597
1	545	587
2	5001	587
0	8214	536

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 202

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
(fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n))
(fma.f64 (.f64 n i) #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
(.f64 (.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
(*.f64 n n)
#s(approx (+ (* (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(log.f64 (/.f64 i n))
(/.f64 (log.f64 (/.f64 i n)) i)

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i))
(.f64 (.f64 (/.f64 n i) (expm1.f64 i)) #s(literal 100 binary64))
(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 i))
(.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)) n) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) (pow.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(.f64 (/.f64 n i) (.f64 (expm1.f64 i) #s(literal 100 binary64)))
(.f64 (neg.f64 n) (pow.f64 (/.f64 i (.f64 #s(literal -100 binary64) (expm1.f64 i))) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 n) i) (.f64 #s(literal -100 binary64) (expm1.f64 i)))
(.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i))
(.f64 n (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(.f64 #s(literal 1 binary64) (/.f64 n (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(pow.f64 (/.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) n) #s(literal -1 binary64))
(/.f64 (.f64 n (.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (.f64 n #s(literal 1 binary64)) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (neg.f64 (neg.f64 n)) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)))
(/.f64 (neg.f64 n) (/.f64 i (*.f64 #s(literal -100 binary64) (expm1.f64 i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) n)))
(/.f64 n (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) n) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) n))
(neg.f64 (/.f64 (neg.f64 n) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(neg.f64 (/.f64 n (/.f64 i (*.f64 #s(literal -100 binary64) (expm1.f64 i)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64))) n)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 i #s(literal 1/100 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i)))
(.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(.f64 (pow.f64 (expm1.f64 i) #s(literal -1 binary64)) (.f64 i #s(literal 1/100 binary64)))
(*.f64 #s(literal 1/100 binary64) (pow.f64 (/.f64 (expm1.f64 i) i) #s(literal -1 binary64)))
(.f64 (.f64 i #s(literal 1/100 binary64)) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))
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(log.f64 (/.f64 i n))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (log.f64 (/.f64 i n)))
(*.f64 (log.f64 (/.f64 n i)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (log.f64 (/.f64 i n)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 i n)) i))
(pow.f64 (/.f64 (/.f64 i (log.f64 (/.f64 i n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (log.f64 (/.f64 i n))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) #s(literal 1 binary64)) i)
(/.f64 (log.f64 (/.f64 n i)) (neg.f64 i))
(/.f64 (log.f64 (/.f64 i n)) (neg.f64 (neg.f64 i)))
(/.f64 (log.f64 (/.f64 i n)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (log.f64 (/.f64 i n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (log.f64 (/.f64 i n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (log.f64 (/.f64 i n))))
(neg.f64 (/.f64 (log.f64 (/.f64 n i)) i))
(neg.f64 (/.f64 (log.f64 (/.f64 i n)) (neg.f64 i)))
(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (log.f64 (/.f64 i n)))) #s(literal -1 binary64)))

eval47.0ms (0.4%)

Memory: 9.7MiB live, 45.4MiB allocated
Compiler: Compiled 17 089 to 1 897 computations (88.9% saved)

prune41.0ms (0.3%)

Memory

7.1MiB live, 45.7MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	323	13	336
Fresh	10	24	34
Picked	3	2	5
Done	3	2	5
Total	339	41	380

Accuracy

100.0%

Counts

380 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.2%	(/.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 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
	13.4%	(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	72.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	73.4%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	14.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
	16.7%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
	16.5%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
	4.5%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) i) n)))
	11.0%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
✓	26.1%	(*.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)))
	42.2%	(.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)))
	11.4%	(.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)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	59.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n) i n)))
	59.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
	54.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
	11.4%	(.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 i) n))))
	37.7%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
✓	57.1%	(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))))
	56.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
	63.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
	62.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
	61.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
	53.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
	76.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
	58.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
	62.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
	58.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 i)))
	30.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
	10.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
✓	53.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
	56.5%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
	56.3%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
	53.4%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
✓	16.8%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 4 226 to 1 368 computations (67.6% saved)

regimes98.0ms (0.8%)

Memory

15.6MiB live, 63.7MiB allocated

Counts

86 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.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))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.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(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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(/.f64 (.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal -1 binary64) 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 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))

Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal -1 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))

Calls

4 calls:

33.0ms	(*.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)))
22.0ms	n
21.0ms	i
17.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
86.3%	3	`i`
91.9%	3	`n`
99.0%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
99.0%	4	`(/.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)

regimes43.0ms (0.4%)

Memory

-5.2MiB live, 31.9MiB allocated

Counts

84 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.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))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.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(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 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))

Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))

Calls

2 calls:

22.0ms

(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

17.0ms

(*.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

Accuracy	Segments	Branch
98.8%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
98.8%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes83.0ms (0.7%)

Memory

-7.5MiB live, 116.4MiB allocated

Counts

81 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.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))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.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(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.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

4 calls:

21.0ms	i
20.0ms	n
20.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
16.0ms	(*.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

Accuracy	Segments	Branch
80.9%	3	`i`
85.4%	4	`n`
84.6%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
84.6%	4	`(/.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)

regimes24.0ms (0.2%)

Memory

-3.8MiB live, 35.0MiB allocated

Counts

80 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.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))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n 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:

20.0ms

Results

Accuracy	Segments	Branch
85.4%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

78 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (/.f64 n i) (/.f64 #s(literal 1/100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 (.f64 n #s(literal 100 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (*.f64 (/.f64 n i) (log.f64 (/.f64 i n))))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) n)) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n)))) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log.f64 (/.f64 i n)) i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (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))) (*.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))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
84.9%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.1%)

Memory

-30.5MiB live, 8.9MiB allocated

Counts

53 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 n (.f64 i #s(literal 1/100 binary64))) (expm1.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 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:

13.0ms

Results

Accuracy	Segments	Branch
84.9%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes45.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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 n i) #s(literal 100 binary64)) (expm1.f64 i)))

Outputs

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 i)))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))

Calls

4 calls:

12.0ms	n
12.0ms	i
9.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
9.0ms	(*.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

Accuracy	Segments	Branch
78.6%	4	`i`
80.2%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.2%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
76.4%	5	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes45.0ms (0.4%)

Memory

-16.3MiB live, 23.0MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) i) i (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) n)) n))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 0 binary64)) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n) n)) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* -1/3 (/ i n)) (+ (* 1/2 i) 1/2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n)))) 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)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.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)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 i (/.f64 i n)) (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))))
(.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

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i (* (- (exp i) 1) 100)) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

4 calls:

12.0ms	i
11.0ms	n
9.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
9.0ms	(*.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

Accuracy	Segments	Branch
71.8%	3	`n`
66.1%	2	`i`
65.2%	2	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
65.2%	2	`(/.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)

regimes9.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))

Outputs

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 i i) #s(literal -1/72000 binary64) #s(literal 1/1200 binary64)) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
71.7%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

29 → 5

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 #s(approx (+ ( (/ 1/3 n) (* i (/ i n))) (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
74.3%	5	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

20 → 5

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
74.3%	5	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

19 → 5

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(.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)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 i (/.f64 i n)) #s(literal 1/3 binary64)))))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 (fma.f64 #s(literal 1/1200 binary64) i #s(literal -1/200 binary64)) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
74.3%	5	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

16 → 5

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.9%	5	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

14 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ i ( (- (exp i) 1) 100)) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.8%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

13 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ 1 (/ i (* (- (exp i) 1) 100))) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ n (/ i (* 100 (- (exp i) 1)))) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) (fma.f64 #s(literal -1/200 binary64) i #s(literal 1/100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.7%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes25.0ms (0.2%)

Memory

-44.7MiB live, 4.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Outputs

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))

Calls

2 calls:

3.0ms	i
3.0ms	n

Results

Accuracy	Segments	Branch
65.2%	2	`i`
66.9%	3	`n`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ 1 (/ i ( (- (exp i) 1) 100))) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 n #s(approx (/ i (* 100 (- (exp i) 1))) #s(literal 1/100 binary64))))

Outputs

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.2%	3	`i`
57.5%	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)))`
57.5%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
64.7%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

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

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))

Outputs

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

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

#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Calls

2 calls:

2.0ms	n
2.0ms	i

Results

Accuracy	Segments	Branch
60.8%	3	`n`
63.4%	3	`i`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Outputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Calls

4 calls:

1.0ms	i
1.0ms	n
1.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
16.8%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
16.8%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
16.8%	1	`n`
16.8%	1	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.0094827497661436e-188	3.305935366822955e-79
0.0ms	-49972005762.39802	-7.105711951034511e-5

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.0094827497661436e-188	3.305935366822955e-79
0.0ms	-49972005762.39802	-7.105711951034511e-5

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch147.0ms (1.2%)

Memory

-1.7MiB live, 37.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.9645308934708682e-98	9.561281402196979e-92
44.0ms	-8.908441828149778e-300	6.595166803265855e-293
49.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Samples

52.0ms	155×	2	valid
34.0ms	221×	1	valid
17.0ms	293×	0	invalid
6.0ms	101×	0	valid
2.0ms	3×	3	valid

Compiler

Compiled 1 249 to 909 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-pow: 38.0ms (43.4% of total)

ival-div: 17.0ms (19.4% of total)

adjust: 11.0ms (12.6% of total)

ival-mult: 8.0ms (9.1% of total)

ival-add: 6.0ms (6.9% of total)

ival-sub: 6.0ms (6.9% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9645308934708682e-98	9.561281402196979e-92
1.0ms	-8.908441828149778e-300	6.595166803265855e-293
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Compiler

Compiled 1 329 to 929 computations (30.1% saved)

bsearch104.0ms (0.9%)

Memory

-12.8MiB live, 25.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	6.992416710893753e-51	5.090217088151653e-48
47.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Samples

39.0ms	127×	2	valid
17.0ms	103×	1	valid
11.0ms	204×	0	invalid
6.0ms	8×	3	valid
3.0ms	50×	0	valid

Compiler

Compiled 1 672 to 1 209 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-pow: 30.0ms (48.7% of total)

ival-div: 11.0ms (17.9% of total)

adjust: 7.0ms (11.4% of total)

ival-add: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

ival-mult: 4.0ms (6.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.992416710893753e-51	5.090217088151653e-48
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Compiler

Compiled 1 688 to 1 225 computations (27.4% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-inf	-919562835449097.3

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch37.0ms (0.3%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.992416710893753e-51	5.090217088151653e-48
33.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Samples

17.0ms	61×	1	valid
9.0ms	19×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 1 188 to 817 computations (31.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 16.0ms (65.3% of total)

ival-div: 3.0ms (12.2% of total)

adjust: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

ival-mult: 1.0ms (4.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.992416710893753e-51	5.090217088151653e-48
11.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Samples

5.0ms	17×	1	valid
3.0ms	7×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 1 158 to 787 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow: 5.0ms (63.9% of total)

adjust: 1.0ms (12.8% of total)

ival-div: 1.0ms (12.8% of total)

ival-add: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch92.0ms (0.8%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	4.774402533550136e-17	5.116222269903456e-14
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
43.0ms	-3.085631684825003e-187	-4.227099896071615e-199
1.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Samples

37.0ms	94×	2	valid
24.0ms	129×	1	valid
6.0ms	103×	0	invalid
3.0ms	49×	0	valid

Compiler

Compiled 2 333 to 1 672 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow: 32.0ms (55.6% of total)

ival-div: 9.0ms (15.6% of total)

adjust: 6.0ms (10.4% of total)

ival-mult: 4.0ms (7% of total)

ival-add: 3.0ms (5.2% of total)

ival-sub: 3.0ms (5.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory

-28.6MiB live, 10.3MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	4.774402533550136e-17	5.116222269903456e-14
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
4.0ms	-3.085631684825003e-187	-4.227099896071615e-199
1.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Samples

19.0ms	43×	2	valid
11.0ms	50×	1	valid
2.0ms	27×	0	invalid
1.0ms	19×	0	valid

Compiler

Compiled 2 263 to 1 602 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow: 17.0ms (61.6% of total)

ival-div: 3.0ms (10.9% of total)

adjust: 3.0ms (10.9% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

ival-mult: 1.0ms (3.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.774402533550136e-17	5.116222269903456e-14
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199
1.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Compiler

Compiled 2 263 to 1 595 computations (29.5% saved)

bsearch28.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.992416710893753e-51	5.090217088151653e-48
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199
22.0ms	-4.134416268647729e+124	-1.1402894989629162e+123

Samples

8.0ms	29×	1	valid
7.0ms	13×	2	valid
2.0ms	2×	3	valid
2.0ms	20×	0	valid

Compiler

Compiled 2 228 to 1 595 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 11.0ms (66.8% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 1.0ms (6.1% of total)

adjust: 1.0ms (6.1% of total)

ival-sub: 1.0ms (6.1% of total)

ival-mult: 1.0ms (6.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.992416710893753e-51	5.090217088151653e-48
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Samples

8.0ms	47×	1	valid
6.0ms	15×	2	valid
1.0ms	20×	0	invalid
0.0ms	2×	0	valid

Compiler

Compiled 1 714 to 1 243 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 7.0ms (53.8% of total)

ival-div: 2.0ms (15.4% of total)

adjust: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-mult: 1.0ms (7.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.992416710893753e-51	5.090217088151653e-48
1.0ms	5.8467438921210094e-254	1.5686959703843632e-243
1.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Compiler

Compiled 1 658 to 1 187 computations (28.4% saved)

bsearch92.0ms (0.8%)

Memory

-22.7MiB live, 20.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	3.1169992215754405e-101	1.9645308934708682e-98
40.0ms	-3.085631684825003e-187	-4.227099896071615e-199

Samples

36.0ms	102×	2	valid
19.0ms	116×	1	valid
8.0ms	131×	0	invalid
7.0ms	7×	3	valid
2.0ms	31×	0	valid

Compiler

Compiled 1 080 to 789 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow: 30.0ms (50.4% of total)

ival-div: 9.0ms (15.1% of total)

adjust: 7.0ms (11.7% of total)

ival-add: 5.0ms (8.4% of total)

ival-sub: 4.0ms (6.7% of total)

ival-mult: 4.0ms (6.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch59.0ms (0.5%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.4029337605894873e+168	4.704262245006835e+169
37.0ms	-43756.78521676212	-0.5049369226356888

Samples

36.0ms	177×	1	valid
5.0ms	63×	0	valid
4.0ms	62×	0	invalid

Compiler

Compiled 858 to 630 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 17.0ms (48.3% of total)

ival-div: 7.0ms (19.9% of total)

adjust: 4.0ms (11.4% of total)

ival-mult: 3.0ms (8.5% of total)

ival-add: 2.0ms (5.7% of total)

ival-sub: 2.0ms (5.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch101.0ms (0.8%)

Memory

-19.5MiB live, 18.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	5.201844810765774e-23	5.869522142776854e-7
42.0ms	-72347711844784980.0	-8300788225171.992

Samples

72.0ms	266×	1	valid
5.0ms	86×	0	invalid
2.0ms	22×	0	valid
0.0ms	2×	1	exit

Compiler

Compiled 810 to 627 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 42.0ms (62.3% of total)

ival-div: 9.0ms (13.4% of total)

adjust: 5.0ms (7.4% of total)

ival-add: 3.0ms (4.5% of total)

ival-sub: 3.0ms (4.5% of total)

ival-mult: 3.0ms (4.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify34.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	2375
1	258	2375
2	264	2375
3	271	2375
4	272	2375

Stop Event

1×

saturated

Calls

Call 1

Inputs
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#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Outputs
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(if (<=.f64 i #s(literal -138000000000000 binary64)) #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 1369486280032197/2361183241434822606848 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(literal 100 binary64) n)) #s(approx ( 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

soundness1.4s (11.2%)

Memory

-7.6MiB live, 31.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	388
0	100	382
1	483	372
2	4283	372
0	8335	349
0	752	5765
1	2389	5267
2	7858	5255
0	8105	4842
0	804	6200
1	2542	5744
0	8174	5322
0	81	603
0	111	597
1	545	587
2	5001	587
0	8214	536
0	47	314
0	81	308
1	342	308
2	2807	300
0	8285	284
0	678	4376
1	2143	4065
2	7307	4059
0	8112	3742
0	515	3778
1	1624	3436
2	5511	3215
0	8123	2937
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 3 704 to 1 281 computations (65.4% saved)

preprocess105.0ms (0.9%)

Memory: -11.4MiB live, 67.9MiB allocated
Compiler: Compiled 4 860 to 516 computations (89.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze286.0ms (2.4%)

sample4.0s (33.4%)

explain519.0ms (4.3%)

preprocess174.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify137.0ms (1.1%)

localize293.0ms (2.4%)

series21.0ms (0.2%)

simplify170.0ms (1.4%)

rewrite163.0ms (1.4%)

eval91.0ms (0.8%)

prune29.0ms (0.2%)

simplify172.0ms (1.4%)

localize246.0ms (2%)

series252.0ms (2.1%)

simplify227.0ms (1.9%)

rewrite224.0ms (1.9%)

eval161.0ms (1.3%)

prune104.0ms (0.9%)

simplify174.0ms (1.4%)

localize327.0ms (2.7%)

series153.0ms (1.3%)

simplify207.0ms (1.7%)

rewrite158.0ms (1.3%)

eval74.0ms (0.6%)

prune39.0ms (0.3%)

simplify154.0ms (1.3%)

localize261.0ms (2.2%)

series72.0ms (0.6%)

simplify174.0ms (1.4%)

rewrite166.0ms (1.4%)

eval47.0ms (0.4%)

prune41.0ms (0.3%)

regimes98.0ms (0.8%)

regimes43.0ms (0.4%)

regimes83.0ms (0.7%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes45.0ms (0.4%)

regimes45.0ms (0.4%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch147.0ms (1.2%)

bsearch4.0ms (0%)

bsearch104.0ms (0.9%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch37.0ms (0.3%)

bsearch14.0ms (0.1%)

bsearch92.0ms (0.8%)

bsearch47.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch28.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch4.0ms (0%)

bsearch92.0ms (0.8%)

bsearch59.0ms (0.5%)

bsearch101.0ms (0.8%)

simplify34.0ms (0.3%)

soundness1.4s (11.2%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling