Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze386.0ms (3.2%)

Memory

-13.1MiB live, 232.5MiB 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)

sample4.2s (35.6%)

Memory

17.4MiB live, 3 344.6MiB allocated

Samples

1.7s	4 537×	1	valid
930.0ms	1 646×	2	valid
316.0ms	2 015×	0	valid
118.0ms	2 008×	0	invalid
47.0ms	58×	3	valid
3.0ms	24×	1	exit

Precisions

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

ival-pow: 1.9s (68.1% of total)

ival-div: 284.0ms (10.4% of total)

adjust: 227.0ms (8.3% of total)

ival-sub: 129.0ms (4.7% of total)

ival-add: 116.0ms (4.2% of total)

ival-mult: 97.0ms (3.5% of total)

exact: 10.0ms (0.4% of total)

ival-true: 8.0ms (0.3% of total)

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

Bogosity

explain408.0ms (3.4%)

Memory

17.9MiB live, 408.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
188	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
51	84	(-5.598489541422831e-230 -5.685615186867893e+121)	26	(125870530229.34338 -4.54310516357816e+274)	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
50	0	-	5	(-4.032200994458579e-166 6.208930703765121e+144)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
1	0	-	1	(1.214749918132695e+35 1.258642701992762e-140)	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(/.f64 i n)`
0	0	-	0	-	`#s(literal 100 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`	cancellation	188	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	90	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	u/u	45	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	underflow	28
↳	`(/.f64 i n)`	underflow	45
↳	`(/.f64 i n)`	underflow	45
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	19	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	37
↳	`(/.f64 i n)`	overflow	19
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	19

Confusion

	Predicted +	Predicted -
+	160	26
-	31	39

Precision

0.837696335078534

Recall

0.8602150537634409

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	160	0	26
-	31	0	39

Precision?

0.837696335078534

Recall?

0.8602150537634409

Freqs

test

number	freq
0	65
1	85
2	61
3	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms	270×	1	valid
58.0ms	146×	2	valid
24.0ms	90×	0	valid
5.0ms	6×	3	valid

Compiler

Compiled 243 to 73 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-pow: 82.0ms (54.3% of total)

ival-div: 38.0ms (25.2% of total)

adjust: 13.0ms (8.6% of total)

ival-sub: 6.0ms (4% of total)

ival-mult: 6.0ms (4% of total)

ival-add: 5.0ms (3.3% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

preprocess170.0ms (1.4%)

Memory

-20.9MiB live, 98.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.2%	(*.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 15 to 10 computations (33.3% saved)

simplify137.0ms (1.2%)

Memory

4.1MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize399.0ms (3.4%)

Memory

-12.6MiB live, 26.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08185232933744874	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
accuracy	11.041910551009622	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	11.794311851647343	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	43.216975033559414	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

41.0ms	135×	1	valid
28.0ms	73×	2	valid
4.0ms	45×	0	valid
3.0ms	3×	3	valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-pow: 41.0ms (65.1% of total)

ival-div: 7.0ms (11.1% of total)

adjust: 6.0ms (9.5% of total)

ival-sub: 3.0ms (4.8% of total)

ival-add: 3.0ms (4.8% of total)

ival-mult: 3.0ms (4.8% 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

6.1MiB live, 6.1MiB allocated

Counts

4 → 89

Calls

Call 1

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

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

Calls

6 calls:

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

simplify167.0ms (1.4%)

Memory

17.1MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

Calls

Call 1

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

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

rewrite215.0ms (1.8%)

Memory

-25.7MiB live, 145.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 498

Calls

Call 1

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

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

eval75.0ms (0.6%)

Memory: 39.2MiB live, 109.4MiB allocated
Compiler: Compiled 18 454 to 2 126 computations (88.5% saved)

prune47.0ms (0.4%)

Memory

-20.3MiB live, 32.7MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	562	22	584
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	562	23	585

Accuracy

100.0%

Counts

585 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.1%	(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	73.2%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	72.8%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	64.2%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
	71.0%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	22.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
▶	22.4%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
✓	30.2%	(*.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)))
	19.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
▶	12.2%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
	17.3%	(*.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)))
	19.3%	(*.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)))
	40.1%	(.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)))
	40.8%	(.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)))
	12.0%	(.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)))
	53.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	56.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	70.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
▶	11.6%	(.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))))
▶	74.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	11.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	51.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 067 to 706 computations (33.8% saved)

simplify129.0ms (1.1%)

Memory

24.2MiB live, 128.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (log.f64 i) (log.f64 n))
cost-diff	0	(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
cost-diff	0	(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
cost-diff	0	(/.f64 #s(literal -1 binary64) i)
cost-diff	128	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
cost-diff	896	(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
cost-diff	0	#s(approx (pow (+ 1 (/ i n)) n) (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)))
cost-diff	0	(-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64))
cost-diff	128	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff	384	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.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 (expm1.f64 i) i)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	358
0	75	356
1	138	356
2	275	352
3	565	352
4	1268	352
5	2668	352
6	4136	352
7	6404	352
0	8152	348

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.5%)

Memory

-15.3MiB live, 269.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08064006324130751	(.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i))
accuracy	0.16989005115753777	(-.f64 (log.f64 i) (log.f64 n))
accuracy	2.2753719293984207	(/.f64 (*.f64 n n) i)
accuracy	13.802064183728536	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (.f64 n n) i)))
accuracy	0.031071079337448734	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
accuracy	0.04296875	(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)
accuracy	4.930621244091514	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	11.243797397069718	(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))
accuracy	0.031071079337448734	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
accuracy	2.8893007002118636	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n))
accuracy	9.207447343837634	#s(approx (pow (+ 1 (/ i n)) 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)))
accuracy	13.896618038491031	(-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 100 binary64) n)
accuracy	13.327734277409721	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0	(expm1.f64 i)
accuracy	0.00390625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	0.01171875	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy	7.726178967896907	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))

Samples

51.0ms	169×	0	invalid
45.0ms	43×	1	valid
26.0ms	23×	2	valid
6.0ms	20×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 646 to 84 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-pow: 32.0ms (31% of total)

ival-mult: 21.0ms (20.3% of total)

adjust: 16.0ms (15.5% of total)

ival-div: 15.0ms (14.5% of total)

ival-add: 7.0ms (6.8% of total)

ival-log: 5.0ms (4.8% of total)

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

ival-expm1: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series209.0ms (1.8%)

Memory

-17.0MiB live, 225.5MiB allocated

Counts

21 → 180

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (- (exp i) 1) (pow (+ (/ i n) 1) n) (/ (* n n) i))
49.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (- (exp i) 1) (pow (+ (/ i n) 1) n) (/ (* n n) i))
36.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (- (exp i) 1) (pow (+ (/ i n) 1) n) (/ (* n n) i))
23.0ms	n	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (- (exp i) 1) (pow (+ (/ i n) 1) n) (/ (* n n) i))
21.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (- (log i) (log n)) (/ (* n n) i)) (- (log i) (log n)) (- (exp i) 1) (pow (+ (/ i n) 1) n) (/ (* n n) i))

simplify239.0ms (2%)

Memory

6.5MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6597
1	2380	6090
2	7571	6090
0	8904	5635

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

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

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

rewrite160.0ms (1.3%)

Memory

28.5MiB live, 151.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	286
0	75	280
1	307	280
2	2349	280
0	8152	267

Stop Event

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

Counts

21 → 565

Calls

Call 1

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

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(.f64 (.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(.f64 (.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(.f64 (/.f64 (expm1.f64 i) i) (.f64 n #s(literal 100 binary64)))
(.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64))))
(.f64 n (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (.f64 (/.f64 (expm1.f64 i) i) n))
(/.f64 (neg.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 i)) (.f64 n #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 (expm1.f64 i) (.f64 n #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (.f64 n (.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (.f64 (neg.f64 (expm1.f64 i)) (.f64 n #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (.f64 (expm1.f64 i) (.f64 n #s(literal 100 binary64))) i)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i)))
(/.f64 (.f64 n (.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(.f64 (expm1.f64 i) (.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(.f64 (pow.f64 (/.f64 i (expm1.f64 (.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 i (expm1.f64 (.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (expm1.f64 i))
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (expm1.f64 i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) (pow.f64 i #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64))) (neg.f64 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) i) (pow.f64 i #s(literal -1 binary64)))))
(/.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 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) 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)) (/.f64 i #s(literal 1 binary64))) (.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) (/.f64 i #s(literal 1 binary64))))
(/.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 (.f64 (exp.f64 i) (/.f64 i #s(literal 1 binary64))) (.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 i #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 i)) (.f64 (/.f64 i (exp.f64 i)) #s(literal -1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (neg.f64 i)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 i #s(literal 1 binary64))) (.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (/.f64 i #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) i) (.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) i))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) (pow.f64 i #s(literal -1 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) 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) i) (pow.f64 i #s(literal -1 binary64))))
(/.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 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (.f64 i #s(literal 2 binary64)))) (neg.f64 (.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 i #s(literal 3 binary64)))) (neg.f64 (.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (-.f64 (.f64 (exp.f64 i) i) (.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) (.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(fma.f64 (exp.f64 i) (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))) (/.f64 (pow.f64 i #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) 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 (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 (/.f64 (.f64 (exp.f64 i) i) (.f64 i i)) (/.f64 (.f64 i #s(literal 1 binary64)) (.f64 i i)))
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) i) (/.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) i))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (expm1.f64 i) (neg.f64 i)))
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (-.f64 (pow.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (-.f64 (pow.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n i))
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(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n))
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n))
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) n))
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) n))
(.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/2 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 (.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)) (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 n #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (/.f64 n i) n)
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 n n))
(.f64 (.f64 (neg.f64 n) n) (/.f64 #s(literal -1 binary64) i))
(.f64 (.f64 n n) (pow.f64 i #s(literal -1 binary64)))
(*.f64 n (/.f64 n i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) i))
(pow.f64 (/.f64 (/.f64 (/.f64 i n) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i n) n) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 n n) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) n))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (*.f64 (neg.f64 n) n)) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 i))
(/.f64 (*.f64 n n) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 i n) n) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i n) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 i n) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) n) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) n))
(neg.f64 (/.f64 (*.f64 (neg.f64 n) n) i))
(neg.f64 (/.f64 (*.f64 n n) (neg.f64 i)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (*.f64 n n) (neg.f64 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 i n) n)) #s(literal -1 binary64)))

eval131.0ms (1.1%)

Memory: -35.7MiB live, 128.1MiB allocated
Compiler: Compiled 29 073 to 3 345 computations (88.5% saved)

prune40.0ms (0.3%)

Memory

22.3MiB live, 61.7MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	719	18	737
Fresh	4	13	17
Picked	3	2	5
Done	0	1	1
Total	726	34	760

Accuracy

100.0%

Counts

760 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	22.2%	(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
▶	73.2%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	72.8%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	64.2%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
	71.0%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	22.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	11.7%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
	13.1%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (.f64 i (neg.f64 n))) (.f64 i i)))
✓	30.2%	(*.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)))
▶	40.1%	(.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)))
	40.8%	(.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)))
	12.0%	(.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)))
	53.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
▶	56.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	56.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	16.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)))
	70.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	11.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
	16.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
	52.5%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
	52.9%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
	70.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
✓	74.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	62.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
	11.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.0%	#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))
✓	51.1%	#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 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
▶	19.7%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))

Compiler

Compiled 1 810 to 1 185 computations (34.5% saved)

simplify225.0ms (1.9%)

Memory

-6.4MiB live, 152.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 i n)
cost-diff	0	(+.f64 (/.f64 i n) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff	0	(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
cost-diff	0	#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))
cost-diff	0	(.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)))
cost-diff	384	(/.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))
cost-diff	512	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	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	832	(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
cost-diff	0	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
cost-diff	704	(/.f64 #s(literal 0 binary64) i)
cost-diff	0	(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff	384	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	429
0	91	407
1	169	407
2	315	402
3	720	402
4	2031	394
5	5699	394
0	8268	384

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
i
(.f64 #s(literal 100 binary64) #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(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(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 (- (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 (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)
(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 i n)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(/.f64 (neg.f64 n) i)
(neg.f64 n)

Outputs
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
#s(literal 0 binary64)
i
(.f64 #s(literal 100 binary64) #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 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) i n)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) i n))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) i n)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
n
i
(.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)))
(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)))
#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))
(.f64 (/.f64 n i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)))
#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))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i))
(.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 (fma.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) 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 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) 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 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
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 i n)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(/.f64 #s(literal -100 binary64) (/.f64 i n))
(/.f64 (neg.f64 n) i)
(neg.f64 n)

localize506.0ms (4.3%)

Memory

-12.1MiB live, 226.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
accuracy	0.16814216452874395	(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
accuracy	11.794311851647343	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	38.85245171130422	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
accuracy	1.678210856556317	(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	2.7711798410304573	(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	10.807201967123902	(/.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))
accuracy	23.386243343524562	#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))
accuracy	0.0078125	(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)
accuracy	0.04296875	(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
accuracy	0.07403982933744874	(.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	25.25973238456204	#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	(/.f64 #s(literal 0 binary64) i)
accuracy	48.02799190031076	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
accuracy	0.10546875	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy	4.61223585363846	(log1p.f64 (/.f64 i n))
accuracy	10.650173325828199	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
accuracy	11.001890539736506	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

192.0ms	133×	1	valid
140.0ms	75×	2	valid
12.0ms	34×	0	valid
12.0ms	3×	5	exit
4.0ms	11×	0	invalid

Compiler

Compiled 785 to 107 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-mult: 90.0ms (28.2% of total)

ival-pow: 86.0ms (27% of total)

ival-sub: 48.0ms (15.1% of total)

adjust: 27.0ms (8.5% of total)

ival-div: 27.0ms (8.5% of total)

ival-add: 16.0ms (5% of total)

const: 13.0ms (4.1% of total)

ival-log1p: 5.0ms (1.6% of total)

ival-expm1: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series35.0ms (0.3%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

22 → 263

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.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)
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(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))
(.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 (- (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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
(log1p.f64 (/.f64 i 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))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))

Outputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	i	@	-inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (* (- 1/2 (/ 1/2 n)) n) (* 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) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100))
5.0ms	i	@	inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (* (- 1/2 (/ 1/2 n)) n) (* 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) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100))
4.0ms	n	@	-inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (* (- 1/2 (/ 1/2 n)) n) (* 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) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100))
4.0ms	n	@	0	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (* (- 1/2 (/ 1/2 n)) n) (* 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) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100))
4.0ms	i	@	0	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (* (- 1/2 (/ 1/2 n)) n) (* 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) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100))

simplify254.0ms (2.1%)

Memory

-33.7MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1095	9006
1	3422	8229
0	8516	7611

Stop Event

1×	iter limit
1×	node limit

Counts

263 → 261

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))))))))
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(* 100 i)
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* -1/2 (/ i n))))
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(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
0
(* 100 (/ (+ n (* -1 n)) i))
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(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(- 1/2 (* 1/2 (/ 1 n)))
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))
(/ 1 i)
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(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i)
1
(+ 1 i)
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(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i)
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(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+ 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)))
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (- (* -1/2 i) 1)))
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(+ (* -1 (/ (+ (* -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 (/ (+ (* -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))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(* -1 (/ (+ (* -1 i) (* 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))
(+ 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 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))

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

rewrite223.0ms (1.9%)

Memory

29.4MiB live, 186.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	329
0	91	307
1	365	303
2	2886	292
0	9132	292

Stop Event

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

Counts

22 → 753

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.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)
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(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))
(.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 (- (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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
(log1p.f64 (/.f64 i 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))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64))) n) (/.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)))
(.f64 (/.f64 #s(literal 100 binary64) n) (/.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n))) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n))))
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(fma.f64 (/.f64 #s(literal -1 binary64) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(fma.f64 n (.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(fma.f64 n (*.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 100 binary64)) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(fma.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i)) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i) (.f64 (/.f64 (.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(-.f64 (/.f64 (.f64 #s(literal 10000 binary64) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 (neg.f64 n) #s(literal 100 binary64)) (.f64 (.f64 n #s(literal 100 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i)) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 n) #s(literal 100 binary64)) (.f64 (*.f64 n #s(literal 100 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 i) n)) (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64)) #s(literal 100 binary64)) (/.f64 #s(literal 10000 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n)))) (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(+.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (.f64 (/.f64 (.f64 n #s(literal 100 binary64)) i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(.f64 (.f64 (neg.f64 n) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64)))
(.f64 (neg.f64 n) (.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 100 binary64)))
(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i))
(.f64 (.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(.f64 (/.f64 #s(literal -1 binary64) i) (.f64 n #s(literal 100 binary64)))
(.f64 n (.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i))
(pow.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal -100 binary64) (/.f64 i n))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)
(/.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))))
(/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n))
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(neg.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)))

eval198.0ms (1.7%)

Memory: -12.8MiB live, 178.9MiB allocated
Compiler: Compiled 36 030 to 4 131 computations (88.5% saved)

prune98.0ms (0.8%)

Memory

2.1MiB live, 89.9MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	975	23	998
Fresh	8	18	26
Picked	5	0	5
Done	0	3	3
Total	988	44	1 032

Accuracy

100.0%

Counts

1 032 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
	11.2%	(fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	22.6%	(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
	22.2%	(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
	56.8%	(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
	40.7%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 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))
	12.0%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n))
	57.8%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	40.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
▶	56.9%	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
	56.9%	(.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n)))
	57.0%	(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 n #s(literal 100 binary64)))
	71.0%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
▶	72.8%	(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
	72.4%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	22.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	11.7%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
✓	30.2%	(*.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)))
	42.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (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)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	30.3%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) (/.f64 i n)))
	27.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) (/.f64 i n)))
	53.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	57.0%	(.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 #s(literal 1/2 binary64) n)) i n)))
	50.1%	(.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)))
	16.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)))
	70.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	11.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
	16.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
	56.6%	(.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) 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))))
	53.1%	#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
	70.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
✓	74.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	62.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
	11.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.0%	#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))
✓	51.1%	#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 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
▶	19.7%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 2 612 to 1 727 computations (33.9% saved)

simplify179.0ms (1.5%)

Memory

16.2MiB live, 132.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 i n)
cost-diff	0	(+.f64 (/.f64 i n) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff	0	(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
cost-diff	0	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.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 (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))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i)
cost-diff	0	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
cost-diff	0	#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
cost-diff	0	(.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
cost-diff	0	#s(approx (/ 0 i) #s(literal 0 binary64))
cost-diff	0	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
cost-diff	0	(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) n)
cost-diff	0	(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	498
0	106	477
1	196	477
2	352	473
3	713	473
4	1793	473
5	4998	473
6	7972	473
0	8080	465

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(.f64 (/.f64 n i) (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
#s(literal 100 binary64)
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
i
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 100 binary64)
n
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)))
(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i)
(.f64 (/.f64 #s(literal 100 binary64) i) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)))
(.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.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 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.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 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))
(*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)
(fma.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 (-.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 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)
(-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
n
#s(literal 1/2 binary64)
i
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
#s(literal 100 binary64)
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 1 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(*.f64 (/.f64 n i) #s(literal -100 binary64))
#s(literal -100 binary64)
(/.f64 n i)

localize497.0ms (4.2%)

Memory

19.5MiB live, 289.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)
accuracy	0.16814216452874395	(*.f64 #s(literal -100 binary64) (/.f64 n i))
accuracy	11.794311851647343	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	38.85245171130422	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
accuracy	0.390625	(/.f64 #s(literal 1/3 binary64) n)
accuracy	1.678210856556317	(fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
accuracy	2.7711798410304573	(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)))
accuracy	23.386243343524562	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))
accuracy	0.04296875	(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
accuracy	0.1484375	(fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))
accuracy	12.80936863177698	#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
accuracy	13.399817147209058	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
accuracy	0	#s(approx (/ 0 i) #s(literal 0 binary64))
accuracy	48.02799190031076	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
accuracy	0.0390625	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
accuracy	0.07403982933744874	(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
accuracy	4.61223585363846	(log1p.f64 (/.f64 i n))
accuracy	11.001890539736506	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

212.0ms	132×	1	valid
191.0ms	75×	2	valid
15.0ms	34×	0	valid
14.0ms	3×	5	exit
5.0ms	11×	0	invalid
3.0ms	1×	3	valid

Compiler

Compiled 879 to 131 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-mult: 101.0ms (28.8% of total)

ival-pow: 86.0ms (24.5% of total)

ival-div: 53.0ms (15.1% of total)

adjust: 32.0ms (9.1% of total)

const: 24.0ms (6.8% of total)

ival-add: 21.0ms (6% of total)

ival-log1p: 20.0ms (5.7% of total)

ival-expm1: 7.0ms (2% of total)

ival-sub: 6.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series33.0ms (0.3%)

Memory

1.8MiB live, 38.8MiB allocated

Counts

26 → 303

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n)
(*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))
#s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
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Outputs
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(* n (+ (* -50 (/ (* i (exp i)) n)) (* 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))))))
(/ (* 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 (/ (* 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)
(- (+ (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)
(* 100 (* n (- (/ (exp i) i) (/ 1 i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* 100 (- (exp i) 1))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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)))))
(+ (* -1/2 (/ (* 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))))))
(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)))))
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(+ 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 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))
(+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 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 (/ (+ (* -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)
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -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 (/ (+ (* -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))
(+ (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)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(+ 1 (+ (* -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 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	i	@	0	((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 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) (* (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) n) (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ 1/3 n) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* -100 (/ n i))) (* -100 (/ n i)))
5.0ms	i	@	-inf	((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 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) (* (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) n) (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ 1/3 n) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* -100 (/ n i))) (* -100 (/ n i)))
4.0ms	i	@	inf	((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 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) (* (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) n) (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ 1/3 n) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* -100 (/ n i))) (* -100 (/ n i)))
3.0ms	n	@	0	((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 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) (* (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) n) (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ 1/3 n) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* -100 (/ n i))) (* -100 (/ n i)))
3.0ms	n	@	-inf	((* (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ 0 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) (* (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) n) (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (- (pow (+ 1 (/ i n)) n) 1) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (* 1/24 i) 1/6) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ 1/3 n) (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* -100 (/ n i))) (* -100 (/ n i)))

simplify204.0ms (1.7%)

Memory

-30.2MiB live, 253.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1175	10953
1	3655	9987
0	8128	9260

Stop Event

1×	iter limit
1×	node limit

Counts

303 → 301

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)))))))
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))))))
(* 100 (/ (+ n (* -1 n)) i))
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
0
(+ (* 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))))))
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(* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))
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(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 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 (/ (+ (* -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)
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))
(+ (* -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 (/ (+ (* -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))
(+ (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)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i)))
(+ 1 (+ (* -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 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))

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

rewrite166.0ms (1.4%)

Memory

20.8MiB live, 186.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	399
0	106	383
1	424	379
2	3216	379
0	8768	371

Stop Event

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

Counts

26 → 762

Calls

Call 1

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

Outputs
(.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)) #s(literal 1 binary64)) (/.f64 n i))
(.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) i) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64))))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i))
(.f64 (.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) n)))
(.f64 #s(literal 100 binary64) (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(.f64 n (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)))
(pow.f64 (/.f64 (/.f64 i n) (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (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 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) n))) (neg.f64 (/.f64 i (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64))) #s(literal 100 binary64))) (neg.f64 (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (neg.f64 n)) i) (pow.f64 (/.f64 n i) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 i n))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (/.f64 n i) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64))))) (neg.f64 (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (neg.f64 n)) i) (pow.f64 (/.f64 n i) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 n) #s(literal 100 binary64)) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) 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 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) 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)) n)) (*.f64 #s(literal 100 binary64) n)) i)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (neg.f64 n)) i) (pow.f64 (/.f64 n i) #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) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 i) n))
(/.f64 (.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (/.f64 n i) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)))) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)))
(/.f64 (.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (neg.f64 n)) i) (pow.f64 (/.f64 n i) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (neg.f64 n) #s(literal 100 binary64)) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i))
(/.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) 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 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i n) (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(fma.f64 (.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 100 binary64)) n (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i)) n (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (pow.f64 i #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) n) (/.f64 #s(literal -1 binary64) i) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (.f64 #s(literal 100 binary64) n) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) n)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
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(/.f64 (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal -1000000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64))) (fma.f64 #s(literal 10000 binary64) (pow.f64 (/.f64 n i) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (.f64 #s(literal -100 binary64) n))) (*.f64 i i))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal -1000000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) (/.f64 (-.f64 (.f64 #s(literal -100 binary64) n) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (.f64 #s(literal -100 binary64) n)) i) (fma.f64 #s(literal 10000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 n i) #s(literal -100 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) (/.f64 (-.f64 (.f64 #s(literal -100 binary64) n) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal -1000000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (.f64 #s(literal -100 binary64) n)) i) (fma.f64 #s(literal 10000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 n i) #s(literal -100 binary64)) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) (/.f64 (-.f64 (.f64 #s(literal -100 binary64) n) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal -1000000 binary64) (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64))))))
(fma.f64 (.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 100 binary64)) n (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i)) n (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (pow.f64 i #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (.f64 #s(literal -100 binary64) n) (pow.f64 i #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (.f64 #s(literal 100 binary64) n) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) n)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 #s(literal 100 binary64) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 n (.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -100 binary64)) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 n (.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 100 binary64)) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 n (.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i)) (.f64 (/.f64 n i) #s(literal -100 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -100 binary64) n) (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i)) (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -100 binary64) n) (.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (.f64 #s(literal -100 binary64) n)) i)) (/.f64 (pow.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) (*.f64 #s(literal -100 binary64) n)) i)))
(+.f64 (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(+.f64 (.f64 (/.f64 n i) #s(literal -100 binary64)) (.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(.f64 (.f64 #s(literal -100 binary64) n) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (/.f64 n i) #s(literal -100 binary64))
(*.f64 #s(literal -100 binary64) (/.f64 n i))
(.f64 n (.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -100 binary64)))
(pow.f64 (/.f64 i (*.f64 #s(literal -100 binary64) n)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) n))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(/.f64 #s(literal -100 binary64) (/.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal -100 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal -100 binary64) n))))
(/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n))

eval158.0ms (1.3%)

Memory: -30.1MiB live, 207.6MiB allocated
Compiler: Compiled 40 031 to 5 318 computations (86.7% saved)

prune51.0ms (0.4%)

Memory

21.1MiB live, 100.2MiB allocated

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	1 083	14	1 097
Fresh	14	22	36
Picked	1	4	5
Done	0	3	3
Total	1 098	43	1 141

Accuracy

100.0%

Counts

1 141 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.1%	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
	22.6%	(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
	22.2%	(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
	11.2%	(fma.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
	56.8%	(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
	53.4%	(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) n)) i)
	57.8%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	40.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	64.3%	(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
	47.1%	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) #s(literal 100 binary64)) i) n)
	57.6%	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
	59.8%	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 i n))) n)) (.f64 #s(literal 1/6 binary64) i))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
	35.4%	(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) #s(literal 100 binary64)) i) n)
	12.0%	(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n) #s(literal 100 binary64))) i) n)
	51.4%	(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (*.f64 #s(literal 100 binary64) i)) i) n)
	71.0%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
✓	72.8%	(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
	57.7%	(.f64 (.f64 (/.f64 #s(approx (- (exp (* (log (+ 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)) i) n) #s(literal 100 binary64))
	53.7%	(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.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 #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))) n) #s(literal 100 binary64))
	56.6%	(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
	52.5%	(.f64 (.f64 n #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 100 binary64) i))
	22.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	11.7%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
✓	30.2%	(*.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)))
	57.0%	(.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 #s(literal 1/2 binary64) n)) i n)))
	50.1%	(.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)))
	16.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i)))
	70.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	16.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
	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))))
	53.1%	#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
	70.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
✓	74.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	62.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
✓	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
	61.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	59.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	57.0%	#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))
✓	51.1%	#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 n #s(literal 100 binary64)))))
	59.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))
✓	19.7%	#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 3 592 to 1 319 computations (63.3% saved)

regimes79.0ms (0.7%)

Memory

8.2MiB live, 91.8MiB allocated

Counts

78 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(.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 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(.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)))
(.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 #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))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (*.f64 #s(literal 100 binary64) i)) 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 n #s(literal 100 binary64)))))
#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (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 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
(fma.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 #s(approx (- (exp (* (log (+ 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)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 i n))) n)) (.f64 #s(literal 1/6 binary64) i))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 n #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 100 binary64) i))
(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) n)) i)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (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)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
(.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)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) (/.f64 i n)))
(.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) 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 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (.f64 i (neg.f64 n))) (.f64 i i)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.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 #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))) n) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n) #s(literal 100 binary64))) 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 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))

Outputs

(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))

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

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

Calls

4 calls:

21.0ms	n
19.0ms	i
18.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
16.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
88.6%	4	`i`
90.9%	3	`n`
93.9%	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)))`
93.9%	3	`(/.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)

regimes37.0ms (0.3%)

Memory

-33.7MiB live, 45.1MiB allocated

Counts

77 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(.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 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(.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)))
(.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 #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))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (*.f64 #s(literal 100 binary64) i)) 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 n #s(literal 100 binary64)))))
#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (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 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
(fma.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 #s(approx (- (exp (* (log (+ 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)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 i n))) n)) (.f64 #s(literal 1/6 binary64) i))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 n #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 100 binary64) i))
(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) n)) i)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (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)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
(.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)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) (/.f64 i n)))
(.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) 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 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (.f64 i (neg.f64 n))) (.f64 i i)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.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 #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))) n) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n) #s(literal 100 binary64))) 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 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i) #s(literal 100 binary64))

Outputs

(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #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:

17.0ms

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

16.0ms

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

Results

Accuracy	Segments	Branch
93.1%	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)))`
93.1%	3	`(/.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)

regimes36.0ms (0.3%)

Memory

5.2MiB live, 44.4MiB allocated

Counts

75 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(.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 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(.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)))
(.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 #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))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (*.f64 #s(literal 100 binary64) i)) 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 n #s(literal 100 binary64)))))
#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (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 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
(fma.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 #s(approx (- (exp (* (log (+ 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)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 i n))) n)) (.f64 #s(literal 1/6 binary64) i))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 n #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 100 binary64) i))
(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) n)) i)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (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)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
(.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)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) (/.f64 i n)))
(.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) 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 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (.f64 i (neg.f64 n))) (.f64 i i)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.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 #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))) n) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n) #s(literal 100 binary64))) 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 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))

Outputs

(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))

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

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

Calls

2 calls:

16.0ms

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

15.0ms

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

Results

Accuracy	Segments	Branch
93.1%	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)))`
93.1%	3	`(/.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)

regimes50.0ms (0.4%)

Memory

-0.4MiB live, 43.2MiB allocated

Counts

72 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
(.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 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(.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)))
(.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 #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))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (*.f64 #s(literal 100 binary64) i)) 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 n #s(literal 100 binary64)))))
#s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) (* n 100)) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (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 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
(.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx ( (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i))))
(fma.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
(.f64 (.f64 (/.f64 #s(approx (- (exp (* (log (+ 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)) i) n) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.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)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 i n))) n)) (.f64 #s(literal 1/6 binary64) i))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 n #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) (/.f64 #s(literal 100 binary64) i))
(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 n #s(literal 100 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) n)
(/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) n)) i)
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (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)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) #s(literal 100 binary64)) i) n)
(.f64 #s(literal 100 binary64) #s(approx (+ ( (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
(.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)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (.f64 i i) #s(literal 1/3 binary64))) (.f64 n n))) i)) (/.f64 i n)))
(.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 (log.f64 (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) 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 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (.f64 i (neg.f64 n))) (.f64 i i)))
(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) i)) n (.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 #s(literal -100 binary64) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(/.f64 (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) i) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (-.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 #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))) n) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (/.f64 n i) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 (/.f64 #s(approx ( (- (pow (+ 1 (/ i n)) n) 1) 100) (.f64 (.f64 (-.f64 (log.f64 i) (log.f64 n)) n) #s(literal 100 binary64))) 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 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))

Outputs

(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)

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

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

Calls

2 calls:

32.0ms

(*.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)))

15.0ms

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

Results

Accuracy	Segments	Branch
92.8%	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)))`
92.8%	3	`(/.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)

regimes69.0ms (0.6%)

Memory

2.8MiB live, 81.3MiB allocated

Counts

70 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

18.0ms	i
18.0ms	n
15.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
15.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
77.0%	2	`i`
83.6%	3	`n`
78.9%	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)))`
78.9%	3	`(/.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)

regimes46.0ms (0.4%)

Memory

17.2MiB live, 56.3MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

12.0ms	n
12.0ms	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)))
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
65.5%	2	`i`
62.3%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
62.3%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
73.5%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

-35.2MiB live, 7.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
73.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.0%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

(*.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 #s(literal 1/2 binary64) n)) i n)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	i
2.0ms	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
51.1%	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)))`
51.1%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
60.6%	3	`i`
62.0%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0%)

Memory

-31.2MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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)))
1.0ms	i
1.0ms	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
19.7%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
19.7%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
19.7%	1	`i`
19.7%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.3506123852323567e-297	5.892232178271618e-136

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.3506123852323567e-297	5.892232178271618e-136

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.3506123852323567e-297	5.892232178271618e-136

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.3506123852323567e-297	5.892232178271618e-136

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch91.0ms (0.8%)

Memory

22.9MiB live, 101.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.3495888405904978e-169	7.631194938839173e-166
46.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Samples

35.0ms	100×	2	valid
16.0ms	94×	1	valid
9.0ms	13×	3	valid
7.0ms	130×	0	invalid
3.0ms	49×	0	valid

Compiler

Compiled 802 to 607 computations (24.3% saved)

Precisions

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

ival-pow: 31.0ms (53.8% of total)

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

adjust: 7.0ms (12.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory

-16.3MiB live, 24.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
24.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Samples

14.0ms	31×	2	valid
3.0ms	21×	1	valid
2.0ms	35×	0	invalid
1.0ms	12×	0	valid

Compiler

Compiled 1 026 to 751 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 7.0ms (42.4% of total)

ival-sub: 3.0ms (18.2% of total)

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

adjust: 2.0ms (12.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 1 010 to 743 computations (26.4% saved)

bsearch3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 1 010 to 735 computations (27.2% saved)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 962 to 703 computations (26.9% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 906 to 663 computations (26.8% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 914 to 671 computations (26.6% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3495888405904978e-169	7.631194938839173e-166
1.0ms	-1.8552306754130544e-198	-1.219479809677227e-201

Compiler

Compiled 722 to 559 computations (22.6% saved)

simplify28.0ms (0.2%)

Memory

0.7MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1106
1	149	1106
2	152	1106
3	156	1106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (/.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))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (.f64 #s(literal 100 binary64) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (/.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))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #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))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
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#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (/ 0 i) #s(literal 0 binary64)))

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

soundness1.1s (9.1%)

Memory

6.0MiB live, 285.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38
0	54	329
0	91	307
1	365	303
2	2886	292
0	9132	292
0	745	6597
1	2380	6090
2	7571	6090
0	8904	5635
0	1095	9006
1	3422	8229
0	8516	7611
0	65	399
0	106	383
1	424	379
2	3216	379
0	8768	371
0	515	3778
1	1624	3436
2	5511	3215
0	8123	2937

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

Compiler

Compiled 1 763 to 609 computations (65.5% saved)

preprocess111.0ms (0.9%)

Memory: -25.4MiB live, 51.3MiB allocated
Compiler: Compiled 2 322 to 312 computations (86.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze386.0ms (3.2%)

sample4.2s (35.6%)

explain408.0ms (3.4%)

preprocess170.0ms (1.4%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify137.0ms (1.2%)

localize399.0ms (3.4%)

series21.0ms (0.2%)

simplify167.0ms (1.4%)

rewrite215.0ms (1.8%)

eval75.0ms (0.6%)

prune47.0ms (0.4%)

simplify129.0ms (1.1%)

localize179.0ms (1.5%)

series209.0ms (1.8%)

simplify239.0ms (2%)

rewrite160.0ms (1.3%)

eval131.0ms (1.1%)

prune40.0ms (0.3%)

simplify225.0ms (1.9%)

localize506.0ms (4.3%)

series35.0ms (0.3%)

simplify254.0ms (2.1%)

rewrite223.0ms (1.9%)

eval198.0ms (1.7%)

prune98.0ms (0.8%)

simplify179.0ms (1.5%)

localize497.0ms (4.2%)

series33.0ms (0.3%)

simplify204.0ms (1.7%)

rewrite166.0ms (1.4%)

eval158.0ms (1.3%)

prune51.0ms (0.4%)

regimes79.0ms (0.7%)

regimes37.0ms (0.3%)

regimes36.0ms (0.3%)

regimes50.0ms (0.4%)

regimes69.0ms (0.6%)

regimes46.0ms (0.4%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch91.0ms (0.8%)

bsearch27.0ms (0.2%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify28.0ms (0.2%)

soundness1.1s (9.1%)

preprocess111.0ms (0.9%)

end0.0ms (0%)

Profiling