Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze199.0ms (1.8%)

Memory

-23.8MiB live, 270.9MiB 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)

sample4.6s (40.9%)

Memory

93.3MiB live, 4 670.4MiB allocated

Samples

2.1s	4 591×	1	valid
1.5s	1 697×	2	valid
215.0ms	1 994×	0	invalid
180.0ms	1 911×	0	valid
72.0ms	57×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-pow: 2.5s (69.5% of total)

ival-div: 383.0ms (10.8% of total)

adjust: 311.0ms (8.8% of total)

ival-mult: 128.0ms (3.6% of total)

ival-add: 124.0ms (3.5% of total)

ival-sub: 115.0ms (3.2% of total)

exact: 11.0ms (0.3% of total)

ival-true: 8.0ms (0.2% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain384.0ms (3.4%)

Memory

3.2MiB live, 730.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
174	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
56	76	(-8.921439475448012e-91 2.0161179136189136e+294)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
34	0	-	4	(2.8123341775581885e-189 2.940441338749096e+127)	`(/.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	-	`(*.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	-	`#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	174	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	114	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	30	0
↳	`(/.f64 i n)`	underflow	30
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	18	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	42
↳	`(/.f64 i n)`	overflow	18
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	18

Confusion

	Predicted +	Predicted -
+	183	0
-	30	43

Precision

0.8591549295774648

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	0	0
-	30	0	43

Precision?

0.8591549295774648

Recall?

1.0

Freqs

test

number	freq
0	43
1	120
2	63
3	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

121.0ms	138×	2	valid
95.0ms	284×	1	valid
12.0ms	90×	0	valid

Compiler

Compiled 131 to 34 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-pow: 105.0ms (53.2% of total)

adjust: 54.0ms (27.4% of total)

ival-div: 17.0ms (8.6% of total)

ival-mult: 8.0ms (4.1% of total)

ival-sub: 6.0ms (3% of total)

ival-add: 5.0ms (2.5% of total)

exact: 1.0ms (0.5% of total)

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

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

preprocess172.0ms (1.5%)

Memory

21.3MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	85
1	69	85
2	178	81
3	480	81
4	1010	77
5	2821	77
6	6308	77
0	10	15
0	16	15
1	27	15
2	43	15
3	74	15
4	117	15
5	287	15
6	760	15
7	1793	15
8	2645	15
9	2771	15
10	2961	15
11	3201	15
12	3329	15
13	3337	15
14	3337	15
15	3361	15
16	3397	15
17	3401	15
18	3401	15
19	3401	15
20	3401	15
0	3401	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 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB 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
▶	30.4%	(*.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)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify123.0ms (1.1%)

Memory

-47.2MiB live, 60.3MiB 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	0	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
cost-diff	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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
0	16	56
1	27	56
2	43	56
3	74	56
4	117	56
5	287	56
6	760	56
7	1793	56
8	2645	56
9	2771	56
10	2961	56
11	3201	56
12	3329	56
13	3337	56
14	3337	56
15	3361	56
16	3397	56
17	3401	56
18	3401	56
19	3401	56
20	3401	56
0	3401	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 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n i))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n

localize125.0ms (1.1%)

Memory

12.1MiB live, 201.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(*.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	7.612079722193545	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	13.575344134409283	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	40.98155742341539	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

64.0ms	142×	1	valid
47.0ms	69×	2	valid
4.0ms	45×	0	valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow: 58.0ms (65.5% of total)

ival-div: 12.0ms (13.5% of total)

adjust: 9.0ms (10.2% of total)

ival-add: 3.0ms (3.4% of total)

ival-sub: 3.0ms (3.4% of total)

ival-mult: 3.0ms (3.4% 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

32.8MiB live, 32.8MiB allocated

Counts

4 → 89

Calls

Call 1

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

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

Calls

6 calls:

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

simplify168.0ms (1.5%)

Memory

-9.4MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3779
1	1846	3384
0	8376	3118

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

Calls

Call 1

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

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

rewrite217.0ms (1.9%)

Memory

18.4MiB live, 156.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	64	44
2	417	44
3	4669	44
0	8501	38

Stop Event

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

Counts

4 → 264

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (neg.f64 n))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (*.f64 (neg.f64 n) #s(literal 100 binary64)))
(.f64 (.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n)))
(.f64 (neg.f64 n) (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(.f64 n (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(.f64 #s(literal 100 binary64) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 n)) (neg.f64 i))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (.f64 n #s(literal 100 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (.f64 n #s(literal 100 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) #s(literal 100 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 100 binary64) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
(/.f64 (.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 100 binary64) (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
(/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n)))
(neg.f64 (.f64 (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n))
(neg.f64 (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n))))
(neg.f64 (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)) #s(literal 100 binary64)))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (.f64 (neg.f64 i) i) n)) (neg.f64 n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (/.f64 i n) i)) n)
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 i i)) (*.f64 n n))
(.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(.f64 (neg.f64 n) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))
(.f64 n (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (fabs.f64 (/.f64 i n))) (fabs.f64 (/.f64 i n)))
(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n))
(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) n) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) n) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) n) (neg.f64 i))
(/.f64 (.f64 n (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i))
(/.f64 (.f64 n (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i))
(/.f64 (.f64 n (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) n)) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 n)) (neg.f64 i))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)) (.f64 (/.f64 (neg.f64 i) n) #s(literal -1 binary64))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
(/.f64 (expm1.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (expm1.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (expm1.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (expm1.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 (neg.f64 i) n)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))))
(/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 (neg.f64 i) n)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (neg.f64 i) n)))
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(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 n #s(literal 2 binary64)) (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 n #s(literal 4 binary64)) (/.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 i n) #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (neg.f64 i) n))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (fma.f64 (/.f64 i n) i i) n))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (cosh.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))))) (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fabs.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))
(+.f64 (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))

eval67.0ms (0.6%)

Memory: -0.6MiB live, 54.2MiB allocated
Compiler: Compiled 11 753 to 1 625 computations (86.2% saved)

prune39.0ms (0.3%)

Memory

-10.6MiB live, 34.2MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	332	19	351
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	332	20	352

Accuracy

100.0%

Counts

352 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	76.1%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64))
	24.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
✓	30.4%	(*.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)))
	23.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
	13.1%	(*.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)))
	17.3%	(*.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)))
	43.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
▶	46.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	12.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
	62.1%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	54.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	54.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.9%	(.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)))
	73.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
	13.0%	(.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))))
	54.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) i) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
▶	73.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
▶	13.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	48.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 029 to 674 computations (34.5% saved)

simplify119.0ms (1.1%)

Memory

13.1MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 n n)
cost-diff	0	(.f64 #s(literal 100 binary64) (.f64 n n))
cost-diff	0	(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
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))
cost-diff	0	(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
cost-diff	0	#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))
cost-diff	0	(/.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))
cost-diff	0	(.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)))
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 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
cost-diff	0	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	292
0	70	280
1	133	280
2	274	280
3	654	280
4	2137	280
0	8386	280

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(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 i n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.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 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(.f64 #s(literal 100 binary64) (.f64 n n))
#s(literal 100 binary64)
(*.f64 n n)
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
n
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) #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)))
#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 (/.f64 n i) #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)))
#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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(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 i n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.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 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) n) (-.f64 (log.f64 i) (log.f64 n))))
(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) n) (-.f64 (log.f64 i) (log.f64 n)))
(.f64 #s(literal 100 binary64) (.f64 n n))
(.f64 (.f64 n n) #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 n n)
n
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
i
(log.f64 n)

localize193.0ms (1.7%)

Memory

-23.4MiB live, 122.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
accuracy	0.19407869496406424	(-.f64 (log.f64 i) (log.f64 n))
accuracy	2.6208078501646153	(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
accuracy	13.408962848033767	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
accuracy	0.0	(expm1.f64 i)
accuracy	0.00390625	(/.f64 (expm1.f64 i) i)
accuracy	0.00390625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	8.211177747901182	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
accuracy	0.015625	(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
accuracy	0.02734375	(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
accuracy	1.7638528779118063	(/.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))
accuracy	11.62639527020017	#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))
accuracy	0.0	(*.f64 #s(literal 100 binary64) n)
accuracy	14.405160318896668	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0.03125	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
accuracy	0.034649862185872675	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
accuracy	1.7734637586112998	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	2.1831076929565287	(log1p.f64 (/.f64 i n))

Samples

53.0ms	170×	0	invalid
48.0ms	48×	1	valid
17.0ms	20×	2	valid
4.0ms	17×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 260 to 36 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-pow: 28.0ms (27.5% of total)

ival-mult: 24.0ms (23.6% of total)

ival-div: 13.0ms (12.8% of total)

ival-log1p: 13.0ms (12.8% of total)

adjust: 8.0ms (7.9% of total)

ival-sub: 4.0ms (3.9% of total)

ival-log: 4.0ms (3.9% of total)

ival-expm1: 3.0ms (2.9% of total)

ival-add: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series251.0ms (2.2%)

Memory

-16.7MiB live, 219.1MiB allocated

Counts

23 → 173

Calls

Call 1

Inputs
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
#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 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(.f64 #s(literal 100 binary64) (.f64 n n))
(*.f64 n n)
(log1p.f64 (/.f64 i n))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(expm1.f64 i)
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)

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

Calls

6 calls:

Time	Variable		Point	Expression
80.0ms	i	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 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)) (/ (- (log i) (log n)) i)) (* 100 (* n n)) (* n n) (log (+ 1 (/ i n))) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- (exp i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
53.0ms	i	@	inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 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)) (/ (- (log i) (log n)) i)) (* 100 (* n n)) (* n n) (log (+ 1 (/ i n))) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- (exp i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
46.0ms	i	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 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)) (/ (- (log i) (log n)) i)) (* 100 (* n n)) (* n n) (log (+ 1 (/ i n))) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- (exp i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
29.0ms	n	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 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)) (/ (- (log i) (log n)) i)) (* 100 (* n n)) (* n n) (log (+ 1 (/ i n))) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- (exp i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
16.0ms	n	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 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)) (/ (- (log i) (log n)) i)) (* 100 (* n n)) (* n n) (log (+ 1 (/ i n))) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- (exp i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))

simplify206.0ms (1.8%)

Memory

32.9MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	819	5260
1	2919	4788
0	8152	4407

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 171

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

rewrite184.0ms (1.6%)

Memory

-8.5MiB live, 226.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	255
0	70	239
1	225	239
2	1314	239
0	8098	239

Stop Event

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

Counts

23 → 404

Calls

Call 1

Inputs
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
#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 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(.f64 #s(literal 100 binary64) (.f64 n n))
(*.f64 n n)
(log1p.f64 (/.f64 i n))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(expm1.f64 i)
(-.f64 (log.f64 i) (log.f64 n))
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n)
(.f64 (.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(.f64 #s(literal 100 binary64) (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(.f64 n (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))) (/.f64 i n))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n)))) (.f64 #s(literal 100 binary64) n)) (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))) i))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 3 binary64))))) (.f64 #s(literal 100 binary64) n)) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 i) n))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) (/.f64 (neg.f64 i) n))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
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(-.f64 (/.f64 (.f64 (log.f64 i) i) (.f64 i i)) (/.f64 (.f64 i (log.f64 n)) (.f64 i i)))
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 n i)) i)) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 n i)) i)))
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i)) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (.f64 n i))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 (.f64 n i))) i))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i))
(-.f64 (/.f64 (log.f64 (neg.f64 i)) i) (/.f64 (log.f64 (neg.f64 n)) i))
(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))
(+.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 n i)) i)) (/.f64 (.f64 (neg.f64 (log.f64 n)) (log.f64 n)) (.f64 (log.f64 (*.f64 n i)) i)))

eval141.0ms (1.2%)

Memory: -6.0MiB live, 152.5MiB allocated
Compiler: Compiled 22 564 to 2 998 computations (86.7% saved)

prune33.0ms (0.3%)

Memory

12.3MiB live, 63.7MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	549	18	567
Fresh	8	6	14
Picked	3	2	5
Done	0	1	1
Total	560	27	587

Accuracy

100.0%

Counts

587 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) n)) i) (.f64 n #s(literal 100 binary64)))
✓	77.5%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	54.3%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
▶	54.7%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
	24.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
✓	30.4%	(*.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)))
	23.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
	13.1%	(*.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)))
▶	17.3%	(*.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)))
	2.3%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
	35.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) (/.f64 i n)))
	3.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
	56.9%	(.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)))
▶	73.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
	68.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
▶	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
	73.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 (*.f64 n n) #s(literal 100 binary64))))
	16.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
	56.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	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))
	58.9%	#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))
▶	56.9%	#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))
✓	48.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (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 #s(literal 100 binary64) n))))
	58.9%	#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 #s(literal 100 binary64) n))))

Compiler

Compiled 1 519 to 995 computations (34.5% saved)

simplify114.0ms (1%)

Memory

-11.7MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 (/.f64 i n))
cost-diff	0	(.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64)))
cost-diff	0	(/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
cost-diff	0	(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	0	(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))
cost-diff	0	#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
cost-diff	0	#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
cost-diff	0	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff	0	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff	0	#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff	0	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
cost-diff	0	#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))
cost-diff	0	(/.f64 (expm1.f64 i) i)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 i) i) n)
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	402
0	81	398
1	150	398
2	310	398
3	839	398
4	2656	398
0	8155	386

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
n
#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))
(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
n
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 100 binary64)
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 (/.f64 n i) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
i
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n))))
(/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i)
(.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n)))
(.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64)))
(.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
(.f64 (.f64 n n) #s(literal 100 binary64))
(.f64 (.f64 n #s(literal 100 binary64)) n)
(*.f64 n n)
#s(literal 100 binary64)

localize220.0ms (1.9%)

Memory

-1.5MiB live, 235.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1401665744115697	(.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64)))
accuracy	4.433312483208887	(/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i)
accuracy	8.294387910872258	(log.f64 (/.f64 i n))
accuracy	24.48299698055388	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
accuracy	0.30425406478739847	(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy	0.7400751455613336	(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))
accuracy	1.7705611710238705	(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	21.310654580593557	#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)))
accuracy	0.046875	(*.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)))
accuracy	3.90136619618288	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
accuracy	10.578618896071632	#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
accuracy	26.44139853287491	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy	0.03125	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
accuracy	12.116744577665555	#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))
accuracy	19.92751312942945	#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy	0.00390625	(/.f64 (expm1.f64 i) i)
accuracy	0.046875	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
accuracy	0.0546875	(*.f64 (/.f64 (expm1.f64 i) i) n)
accuracy	12.099264071719396	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))

Samples

73.0ms	90×	1	valid
67.0ms	42×	2	valid
31.0ms	99×	0	invalid
7.0ms	24×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 315 to 43 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-pow: 36.0ms (26.9% of total)

ival-mult: 24.0ms (17.9% of total)

adjust: 21.0ms (15.7% of total)

ival-div: 18.0ms (13.4% of total)

const: 8.0ms (6% of total)

ival-add: 8.0ms (6% of total)

ival-sub: 6.0ms (4.5% of total)

ival-expm1: 4.0ms (3% of total)

ival-log1p: 4.0ms (3% of total)

ival-log: 4.0ms (3% of total)

exact: 1.0ms (0.7% of total)

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

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

series157.0ms (1.4%)

Memory

-3.5MiB live, 227.9MiB allocated

Counts

21 → 165

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
72.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (log (/ i n)) (* (* n n) 100)) i) (* (log (/ i n)) (* (* n n) 100)) (log (/ i n)) (/ 1/3 (* n n)))
21.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (log (/ i n)) (* (* n n) 100)) i) (* (log (/ i n)) (* (* n n) 100)) (log (/ i n)) (/ 1/3 (* n n)))
20.0ms	n	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (log (/ i n)) (* (* n n) 100)) i) (* (log (/ i n)) (* (* n n) 100)) (log (/ i n)) (/ 1/3 (* n n)))
16.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (log (/ i n)) (* (* n n) 100)) i) (* (log (/ i n)) (* (* n n) 100)) (log (/ i n)) (/ 1/3 (* n n)))
14.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (- (exp i) 1) i) n) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (log (/ i n)) (* (* n n) 100)) i) (* (log (/ i n)) (* (* n n) 100)) (log (/ i n)) (/ 1/3 (* n n)))

simplify230.0ms (2%)

Memory

36.0MiB live, 317.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	5528
1	2664	5006
0	8326	4665

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 163

Calls

Call 1

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

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

rewrite154.0ms (1.4%)

Memory

-17.0MiB live, 117.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	333
0	81	329
1	297	329
2	2020	321
0	8106	309

Stop Event

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

Counts

21 → 253

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) n)) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))
(/.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 i) i) (.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 i)) (neg.f64 i)) (.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 i)) i) (.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (.f64 (exp.f64 i) (neg.f64 i)) (.f64 i #s(literal -1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (expm1.f64 (.f64 i #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (-.f64 (.f64 (exp.f64 i) i) (.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 i) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 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))
(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
(.f64 n #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 10000 binary64) (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 100 binary64) (.f64 #s(literal 50 binary64) i))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) #s(literal 10000 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) (.f64 (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)) #s(literal 10000 binary64))) (.f64 (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)) (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64)))) (.f64 (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64)))) #s(literal 1000000 binary64))) (.f64 (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64)))) (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (*.f64 i #s(literal 5000 binary64))))))
(/.f64 (-.f64 #s(literal 10000 binary64) (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64))) (-.f64 #s(literal 100 binary64) (.f64 #s(literal 50 binary64) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) #s(literal 10000 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64))) (neg.f64 (+.f64 #s(literal 10000 binary64) (-.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) (.f64 i #s(literal 5000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64))) (neg.f64 (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) #s(literal 10000 binary64)) (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)))
(/.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64)) (+.f64 #s(literal 10000 binary64) (-.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) (.f64 i #s(literal 5000 binary64)))))
(/.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64)) (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64)))))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) (/.f64 #s(literal 10000 binary64) (-.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) i))
(-.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) #s(literal 50 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 50 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (.f64 i #s(literal 5000 binary64))))) (/.f64 #s(literal 1000000 binary64) (fma.f64 #s(literal 2500 binary64) (.f64 i i) (-.f64 #s(literal 10000 binary64) (*.f64 i #s(literal 5000 binary64))))))
(+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))
(.f64 (/.f64 (.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(.f64 (/.f64 (.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 i n))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))) (/.f64 i n))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 i) n))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64))) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)) (/.f64 i n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)
(*.f64 n (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n) (*.f64 (pow.f64 i #s(literal -1 binary64)) n))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (neg.f64 i) n))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)) (pow.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)) (pow.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 i (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) i))
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (neg.f64 i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)) (pow.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i)) (pow.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n))))
(.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n)))
(.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) (/.f64 #s(literal 100 binary64) i))
(.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (/.f64 (log.f64 (/.f64 i n)) i))
(.f64 (log.f64 (/.f64 i n)) (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (log.f64 (/.f64 i n))) i)
(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal -100 binary64)) i))
(neg.f64 (/.f64 (.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (log.f64 (/.f64 i n))) (neg.f64 i)))
(log.f64 (pow.f64 (/.f64 i n) (/.f64 (.f64 (.f64 n #s(literal 100 binary64)) n) i)))
(.f64 (.f64 (log.f64 (/.f64 i n)) #s(literal 100 binary64)) (*.f64 n n))
(.f64 (.f64 (log.f64 (/.f64 i n)) n) (*.f64 n #s(literal 100 binary64)))
(.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))
(.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (log.f64 (/.f64 i n)))
(.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n #s(literal 100 binary64)) n))
(.f64 (.f64 n n) (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64))))
(.f64 n (.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))))
(.f64 #s(literal 100 binary64) (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)))
(log.f64 (pow.f64 (pow.f64 (/.f64 i n) n) (*.f64 n #s(literal 100 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 i n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 i) (log.f64 i) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 i) (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 (*.f64 i n)))
(/.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)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) i)) (log.f64 n))
(-.f64 (log.f64 (neg.f64 (neg.f64 i))) (log.f64 (neg.f64 (neg.f64 n))))
(-.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 i n)))
(+.f64 (log.f64 (/.f64 i n)) #s(literal 0 binary64))
(log.f64 (/.f64 i n))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) (neg.f64 (neg.f64 n)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n))) n)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) n)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/3 binary64) n)) n)
(/.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 n)) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 n) n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 n #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))

eval79.0ms (0.7%)

Memory: 18.1MiB live, 71.0MiB allocated
Compiler: Compiled 20 628 to 2 288 computations (88.9% saved)

prune27.0ms (0.2%)

Memory

-10.8MiB live, 37.8MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	401	9	410
Fresh	4	15	19
Picked	2	3	5
Done	0	3	3
Total	407	30	437

Accuracy

100.0%

Counts

437 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.6%	(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	61.1%	(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) n)) i) (.f64 n #s(literal 100 binary64)))
✓	77.5%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	54.3%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
▶	43.2%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
	59.0%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (fma.f64 #s(literal 1/6 binary64) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1/2 binary64))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
	2.7%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n)))) (.f64 n #s(literal 100 binary64)))
	9.3%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))) (*.f64 n #s(literal 100 binary64)))
	24.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
✓	30.4%	(*.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)))
	23.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
	13.1%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	2.3%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
	3.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
▶	56.9%	(.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)))
✓	73.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
	56.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
▶	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
	68.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
✓	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
▶	73.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))
	16.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
	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))
	58.9%	#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))
✓	56.9%	#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))
▶	14.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
✓	48.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (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 #s(literal 100 binary64) n))))
	58.9%	#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 #s(literal 100 binary64) n))))

Compiler

Compiled 1 792 to 1 175 computations (34.4% saved)

simplify106.0ms (0.9%)

Memory

-24.9MiB live, 67.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (log.f64 (/.f64 i n)) (.f64 n n))
cost-diff	0	(.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
cost-diff	0	(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
cost-diff	2	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
cost-diff	0	(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
cost-diff	0	#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))
cost-diff	0	(.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)))
cost-diff	0	#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
cost-diff	0	#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
cost-diff	0	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
cost-diff	0	(*.f64 (expm1.f64 i) #s(literal 100 binary64))
cost-diff	0	(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
cost-diff	0	(.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	505
0	96	501
1	179	501
2	405	501
3	1147	496
4	3350	496
0	8504	469

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

Outputs
#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 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(expm1.f64 i)
i
#s(literal 100 binary64)
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
(*.f64 #s(literal 50 binary64) i)
#s(literal 50 binary64)
i
n
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(.f64 #s(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)) #s(literal 100 binary64))
#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))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
n
i
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)) i #s(literal 1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)) i #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)) i #s(literal 1 binary64))
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n)))
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)
(fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i))
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
i
#s(literal 1/2 binary64)
n
(*.f64 #s(literal 1/3 binary64) i)
#s(literal 1/3 binary64)
(*.f64 n n)
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i)
(.f64 (/.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) i) (log.f64 (/.f64 i n)))
(.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64))
(.f64 (.f64 (*.f64 n #s(literal 100 binary64)) n) (log.f64 (/.f64 i n)))
(.f64 (log.f64 (/.f64 i n)) (.f64 n n))
(log.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 n n)
#s(literal 100 binary64)

localize212.0ms (1.9%)

Memory

41.1MiB live, 139.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11838305347432947	(.f64 (log.f64 (/.f64 i n)) (.f64 n n))
accuracy	4.433312483208887	(/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i)
accuracy	8.294387910872258	(log.f64 (/.f64 i n))
accuracy	24.48299698055388	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
accuracy	0.7400751455613336	(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64))
accuracy	14.163898118208479	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))
accuracy	18.967229440657885	#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n)))
accuracy	21.310654580593557	#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) i #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
accuracy	0.02734375	(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
accuracy	0.046875	(.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)))
accuracy	20.38035825660649	#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))
accuracy	0.03125	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)
accuracy	12.116744577665555	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
accuracy	18.13638327462789	#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))
accuracy	19.92751312942945	#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)))
accuracy	0.00390625	(*.f64 (expm1.f64 i) #s(literal 100 binary64))
accuracy	0.03125	(.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
accuracy	0.05859375	(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
accuracy	12.116744577665555	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n))

Samples

84.0ms	92×	1	valid
37.0ms	99×	0	invalid
32.0ms	21×	2	valid
23.0ms	43×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 330 to 55 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 43.0ms (29.1% of total)

ival-pow: 29.0ms (19.6% of total)

adjust: 20.0ms (13.5% of total)

ival-div: 19.0ms (12.9% of total)

ival-add: 10.0ms (6.8% of total)

const: 8.0ms (5.4% of total)

ival-sub: 6.0ms (4.1% of total)

ival-expm1: 4.0ms (2.7% of total)

ival-log: 4.0ms (2.7% of total)

ival-log1p: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series134.0ms (1.2%)

Memory

-28.8MiB live, 64.5MiB allocated

Counts

23 → 152

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (log (/ i n)) (* n n)) 100) i) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (- 1/2 (/ 1/2 n)) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (log (/ i n)))
15.0ms	n	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (log (/ i n)) (* n n)) 100) i) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (- 1/2 (/ 1/2 n)) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (log (/ i n)))
13.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (log (/ i n)) (* n n)) 100) i) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (- 1/2 (/ 1/2 n)) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (log (/ i n)))
13.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (log (/ i n)) (* n n)) 100) i) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (- 1/2 (/ 1/2 n)) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (log (/ i n)))
10.0ms	n	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (* (- (exp i) 1) 100) i) n) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (* (- 1/2 (/ 1/2 n)) n) (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (log (/ i n)) (* n n)) 100) i) (* (* (log (/ i n)) (* n n)) 100) (* (log (/ i n)) (* n n)) (- 1/2 (/ 1/2 n)) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (log (/ i n)))

simplify298.0ms (2.6%)

Memory

4.6MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	4186
1	2422	3857
0	8597	3561

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 151

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

rewrite151.0ms (1.3%)

Memory

1.2MiB live, 49.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	444
0	96	440
1	347	440
2	2428	432
0	8402	410

Stop Event

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

Counts

23 → 211

Calls

Call 1

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

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

eval59.0ms (0.5%)

Memory: -11.2MiB live, 34.1MiB allocated
Compiler: Compiled 18 012 to 1 933 computations (89.3% saved)

prune33.0ms (0.3%)

Memory

31.9MiB live, 31.9MiB allocated

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	342	12	354
Fresh	8	11	19
Picked	2	3	5
Done	0	6	6
Total	352	32	384

Accuracy

100.0%

Counts

384 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.6%	(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	61.1%	(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) n)) i) (.f64 n #s(literal 100 binary64)))
✓	77.5%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	51.1%	(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) n) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
	54.3%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
✓	43.2%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
	49.9%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 i n) (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
	2.7%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n)))) (.f64 n #s(literal 100 binary64)))
	9.3%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))) (*.f64 n #s(literal 100 binary64)))
	24.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
✓	30.4%	(*.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)))
	23.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
	3.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
	56.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))
	56.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) i n)))
	47.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
✓	73.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (/.f64 (expm1.f64 i) i) n)))
	2.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 binary64) i))))
✓	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
	68.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
✓	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
	48.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(approx ( (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
	16.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
	16.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
	60.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (/.f64 #s(literal 100 binary64) i) n)))
	61.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	58.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
✓	56.9%	#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))
✓	14.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
✓	48.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	61.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	58.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))

Compiler

Compiled 3 000 to 1 070 computations (64.3% saved)

regimes64.0ms (0.6%)

Memory

-19.0MiB live, 27.4MiB allocated

Counts

59 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 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))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(approx ( (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) 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))) (.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 (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))) (*.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.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(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 i n) (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n)))) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) n) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (fma.f64 #s(literal 1/6 binary64) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1/2 binary64))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.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) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) i) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (/.f64 #s(literal 100 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#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) i) n)))
(*.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 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 (*.f64 n n) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(.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 n i)) #s(literal 100 binary64))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) n)) i) (.f64 n #s(literal 100 binary64)))

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

Calls

4 calls:

25.0ms	i
15.0ms	n
11.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
11.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
95.8%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
95.8%	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)))`
87.3%	3	`i`
89.8%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes24.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

56 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 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))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(approx ( (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) 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))) (.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 (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))) (*.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.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(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 i n) (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n)))) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) n) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (fma.f64 #s(literal 1/6 binary64) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1/2 binary64))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.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) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) i) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (/.f64 #s(literal 100 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#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) i) n)))
(*.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 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 (*.f64 n n) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(.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 n i)) #s(literal 100 binary64))

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

Calls

2 calls:

10.0ms

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

10.0ms

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

Results

Accuracy	Segments	Branch
94.7%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
94.7%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes81.0ms (0.7%)

Memory

-28.1MiB live, 27.2MiB allocated

Counts

55 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 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))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(approx ( (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) i) n))
#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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) 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))) (.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 (/ ( (- (exp i) 1) 100) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
(.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.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 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (/ (* (- (exp i) 1) 100) i) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))) (*.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (.f64 (/.f64 (.f64 i i) n) #s(literal -1/2 binary64)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.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(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (- (* -1/2 i) 1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 i n) (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n)))) (.f64 n #s(literal 100 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) n) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (fma.f64 #s(literal 1/6 binary64) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1/2 binary64))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx ( (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) (/.f64 i n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.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) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) i) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (/.f64 #s(literal 100 binary64) i) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
#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) i) n)))
(*.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 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 #s(literal 100 binary64) n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 (*.f64 n n) #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (log.f64 (/.f64 i n)) (.f64 (*.f64 n n) #s(literal 100 binary64))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n)))
(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (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))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))

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

Calls

4 calls:

44.0ms	n
13.0ms	i
10.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
10.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
78.8%	3	`i`
80.8%	4	`n`
81.8%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
81.8%	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)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes21.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

49 → 4

Calls

Call 1

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

Calls

2 calls:

10.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
81.8%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
81.8%	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)))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes44.0ms (0.4%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

#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:

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

Results

Accuracy	Segments	Branch
73.9%	1	`i`
78.8%	3	`n`
75.9%	2	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
75.9%	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)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes42.0ms (0.4%)

Memory

-40.1MiB live, 7.4MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

#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:

40.0ms

Results

Accuracy	Segments	Branch
78.8%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes36.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	n
9.0ms	i
7.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
7.0ms	(*.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
72.9%	2	`i`
73.7%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
73.7%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
69.5%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes35.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

4 calls:

9.0ms	i
9.0ms	n
7.0ms	(*.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)))
7.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
69.2%	3	`n`
61.5%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
61.5%	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)))`
67.0%	2	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes14.0ms (0.1%)

Memory

-35.9MiB live, 11.6MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

#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 #s(literal 100 binary64) n))))

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

12.0ms

Results

Accuracy	Segments	Branch
69.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

19 → 3

Calls

Call 1

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

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))

(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (*.f64 n #s(literal 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
69.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

#s(approx (* 100 (/ (- (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:

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

Results

Accuracy	Segments	Branch
61.4%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
61.4%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
61.4%	1	`i`
61.4%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes16.0ms (0.1%)

Memory

-27.7MiB live, 19.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

Calls

4 calls:

5.0ms	n
4.0ms	i
3.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
3.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
58.9%	1	`i`
58.9%	1	`n`
58.9%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
58.9%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes13.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

Calls

4 calls:

3.0ms	n
3.0ms	i
3.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
3.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
58.9%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
58.9%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
58.9%	1	`i`
58.9%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 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))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) n) i n)))

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

Calls

4 calls:

3.0ms	i
3.0ms	n
2.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
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
56.9%	1	`i`
56.9%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
56.9%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
56.9%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory

-38.6MiB live, 9.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* (- 1/2 (/ 1/2 n)) n) i) n) (*.f64 #s(literal -1/2 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))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx ( (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n)))

Outputs
#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))

Calls

4 calls:

5.0ms	(*.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	n
2.0ms	i
2.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
56.9%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
56.9%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
56.9%	1	`i`
56.9%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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
51.9%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
51.9%	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)))`
56.8%	2	`i`
48.2%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	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
48.2%	1	`n`
48.2%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
48.2%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
48.2%	1	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.528468990300776e-213	6.220237147419011e-203
0.0ms	-5704726970.16646	-2.7668802308308135e-39

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.528468990300776e-213	6.220237147419011e-203
0.0ms	-5.7550563971033895e-65	-1.44523320577254e-69

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.528468990300776e-213
0.0ms	-5704726970.16646	-2.7668802308308135e-39

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.528468990300776e-213
0.0ms	-inf	-5704726970.16646

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch113.0ms (1%)

Memory

9.5MiB live, 101.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.3971951355357871e-154	1.7042490376646612e-153
73.0ms	-1.1588665404286206e-126	-1.932196487967059e-136

Samples

48.0ms	85×	2	valid
24.0ms	129×	1	valid
11.0ms	180×	0	invalid
6.0ms	6×	3	valid
2.0ms	36×	0	valid

Compiler

Compiled 654 to 491 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-pow: 40.0ms (52.3% of total)

ival-div: 14.0ms (18.3% of total)

adjust: 10.0ms (13.1% of total)

ival-sub: 4.0ms (5.2% of total)

ival-mult: 4.0ms (5.2% of total)

ival-add: 4.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3971951355357871e-154	1.7042490376646612e-153
1.0ms	-1.1588665404286206e-126	-1.932196487967059e-136

Compiler

Compiled 674 to 511 computations (24.2% saved)

bsearch47.0ms (0.4%)

Memory

-4.0MiB live, 43.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-24127.44153210815	-0.13390913219709633

Samples

32.0ms	139×	1	valid
3.0ms	48×	0	invalid
0.0ms	5×	0	valid

Compiler

Compiled 621 to 420 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 13.0ms (44.1% of total)

ival-div: 7.0ms (23.7% of total)

adjust: 4.0ms (13.6% of total)

ival-add: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

ival-mult: 2.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch82.0ms (0.7%)

Memory

17.6MiB live, 68.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3971951355357871e-154	1.7042490376646612e-153
76.0ms	-1.1884151409488566e-78	-2.0794633217224776e-89

Samples

38.0ms	58×	2	valid
23.0ms	82×	1	valid
5.0ms	77×	0	invalid
1.0ms	20×	0	valid

Compiler

Compiled 1 102 to 799 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 39.0ms (66.5% of total)

ival-div: 6.0ms (10.2% of total)

adjust: 6.0ms (10.2% of total)

ival-sub: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

ival-mult: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3971951355357871e-154	1.7042490376646612e-153
2.0ms	-1.1884151409488566e-78	-2.0794633217224776e-89

Compiler

Compiled 942 to 669 computations (29% saved)

bsearch5.0ms (0%)

Memory

-44.0MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3971951355357871e-154	1.7042490376646612e-153
3.0ms	-1.1884151409488566e-78	-2.0794633217224776e-89

Compiler

Compiled 882 to 639 computations (27.6% saved)

bsearch38.0ms (0.3%)

Memory

35.0MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	2.0843751334502566e-15	2.7337322837512987e-13

Samples

29.0ms	112×	1	valid
1.0ms	23×	0	invalid

Compiler

Compiled 403 to 281 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow: 15.0ms (58.3% of total)

adjust: 4.0ms (15.5% of total)

ival-div: 3.0ms (11.7% of total)

ival-add: 1.0ms (3.9% of total)

ival-sub: 1.0ms (3.9% of total)

ival-mult: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify52.0ms (0.5%)

Memory

6.4MiB live, 54.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1251
1	218	1251
2	323	1251
3	598	1251
4	1670	1251

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -5000000000 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n))) (if (<=.f64 (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 7580654747562055/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (.f64 n #s(literal 100 binary64))) (if (<=.f64 (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (.f64 (/.f64 #s(literal -1 binary64) i) n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Outputs
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(if (<=.f64 n #s(literal -5106489348317981/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (or (<=.f64 n #s(literal -5106489348317981/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (not (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64))))
(if (<=.f64 i #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 (/.f64 #s(literal 100 binary64) 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 #s(literal 100 binary64) n)))))
(if (<=.f64 n #s(literal -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (fma.f64 #s(literal 1/6 binary64) i (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1/2 binary64))) i #s(literal 1 binary64))) (.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 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))))
(if (<=.f64 n #s(literal -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) #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 #s(literal 100 binary64) n)))) (if (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 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))))
(if (<=.f64 n #s(literal -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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)) (if (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 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))))
(if (or (<=.f64 n #s(literal -3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (not (<=.f64 n #s(literal 1736022715417909/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 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)) (.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) (.f64 n #s(literal 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))
#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 #s(literal 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#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))
(if (<=.f64 i #s(literal 5347900969712843/19807040628566084398385987584 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(literal 100 binary64) n)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

derivations1.1s (10.1%)

Memory

38.8MiB live, 598.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	333
0	81	329
1	297	329
2	2020	321
0	8106	309
0	819	5260
1	2919	4788
0	8152	4407
0	10	44
0	16	44
1	64	44
2	417	44
3	4669	44
0	8501	38
0	67	444
0	96	440
1	347	440
2	2428	432
0	8402	410
0	515	3779
1	1846	3384
0	8376	3118
0	40	255
0	70	239
1	225	239
2	1314	239
0	8098	239
0	735	5528
1	2664	5006
0	8326	4665

Stop Event

1×	fuel
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×	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

Compiler

Compiled 1 253 to 172 computations (86.3% saved)

preprocess145.0ms (1.3%)

Memory: 17.2MiB live, 61.6MiB allocated
Compiler: Compiled 2 616 to 400 computations (84.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze199.0ms (1.8%)

sample4.6s (40.9%)

explain384.0ms (3.4%)

preprocess172.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify123.0ms (1.1%)

localize125.0ms (1.1%)

series21.0ms (0.2%)

simplify168.0ms (1.5%)

rewrite217.0ms (1.9%)

eval67.0ms (0.6%)

prune39.0ms (0.3%)

simplify119.0ms (1.1%)

localize193.0ms (1.7%)

series251.0ms (2.2%)

simplify206.0ms (1.8%)

rewrite184.0ms (1.6%)

eval141.0ms (1.2%)

prune33.0ms (0.3%)

simplify114.0ms (1%)

localize220.0ms (1.9%)

series157.0ms (1.4%)

simplify230.0ms (2%)

rewrite154.0ms (1.4%)

eval79.0ms (0.7%)

prune27.0ms (0.2%)

simplify106.0ms (0.9%)

localize212.0ms (1.9%)

series134.0ms (1.2%)

simplify298.0ms (2.6%)

rewrite151.0ms (1.3%)

eval59.0ms (0.5%)

prune33.0ms (0.3%)

regimes64.0ms (0.6%)

regimes24.0ms (0.2%)

regimes81.0ms (0.7%)

regimes21.0ms (0.2%)

regimes44.0ms (0.4%)

regimes42.0ms (0.4%)

regimes36.0ms (0.3%)

regimes35.0ms (0.3%)

regimes14.0ms (0.1%)

regimes6.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch113.0ms (1%)

bsearch2.0ms (0%)

bsearch47.0ms (0.4%)

bsearch82.0ms (0.7%)

bsearch3.0ms (0%)

bsearch5.0ms (0%)

bsearch38.0ms (0.3%)

simplify52.0ms (0.5%)

derivations1.1s (10.1%)

preprocess145.0ms (1.3%)

end0.0ms (0%)

Profiling