Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.1s (29.7%)

Memory

26.7MiB live, 186.2MiB 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)

sample4.5s (26%)

Memory

16.2MiB live, 3 570.5MiB allocated

Samples

2.2s	4 509×	1	valid
1.3s	1 519×	2	valid
282.0ms	2 182×	0	valid
137.0ms	2 069×	0	invalid
85.0ms	46×	3	valid
2.0ms	18×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-pow: 2.1s (61.5% of total)

ival-div: 463.0ms (13.8% of total)

adjust: 292.0ms (8.7% of total)

ival-mult: 202.0ms (6% of total)

ival-add: 178.0ms (5.3% of total)

ival-sub: 137.0ms (4.1% of total)

exact: 11.0ms (0.3% of total)

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

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

Bogosity

explain489.0ms (2.8%)

Memory

18.2MiB live, 496.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
182	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
62	83	(1.1091347171616619e-42 1.47767596906824e+109)	40	(-4.02602789518852e+235 -6.35187541888097e+303)	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
46	0	-	6	(-4.4438331098988325e-30 -2.347930071524379e+286)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(/.f64 i n)`
0	0	-	0	-	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
0	0	-	0	-	`#s(literal 100 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`	cancellation	182	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	88	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	u/u	40	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	underflow	41
↳	`(/.f64 i n)`	underflow	40
↳	`(/.f64 i n)`	underflow	40
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	17	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	29
↳	`(/.f64 i n)`	overflow	17
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	17

Confusion

	Predicted +	Predicted -
+	163	40
-	21	32

Precision

0.8858695652173914

Recall

0.8029556650246306

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	163	0	40
-	21	0	32

Precision?

0.8858695652173914

Recall?

0.8029556650246306

Freqs

test

number	freq
0	72
1	81
2	63
3	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms	318×	1	valid
46.0ms	112×	2	valid
8.0ms	78×	0	valid
3.0ms	4×	3	valid

Compiler

Compiled 243 to 73 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-pow: 85.0ms (64.2% of total)

ival-div: 16.0ms (12.1% of total)

adjust: 12.0ms (9.1% of total)

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

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

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

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

preprocess184.0ms (1.1%)

Memory

-19.5MiB live, 67.2MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(*.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 (0.8%)

Memory

6.8MiB live, 78.9MiB 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

localize140.0ms (0.8%)

Memory

6.1MiB live, 158.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.07650375976844201	(*.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	10.19887603350587	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	14.654910918563564	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	41.89037278500004	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

63.0ms	159×	1	valid
32.0ms	39×	0	valid
23.0ms	56×	2	valid
10.0ms	2×	3	valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-pow: 40.0ms (54.2% of total)

ival-add: 13.0ms (17.6% of total)

ival-div: 8.0ms (10.8% of total)

adjust: 6.0ms (8.1% of total)

ival-sub: 3.0ms (4.1% of total)

ival-mult: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory

31.3MiB live, 31.3MiB 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))
3.0ms	i	@	-inf	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms	n	@	inf	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
2.0ms	i	@	0	((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify333.0ms (1.9%)

Memory

2.6MiB live, 197.9MiB 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))
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
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(/ (* (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)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (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))) n)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
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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))

rewrite584.0ms (3.4%)

Memory

-252.3MiB live, 171.6MiB 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 (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 (-.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 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #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))
(*.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 #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))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(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))

eval92.0ms (0.5%)

Memory: 16.7MiB live, 86.5MiB allocated
Compiler: Compiled 18 454 to 2 126 computations (88.5% saved)

prune27.0ms (0.2%)

Memory

21.2MiB live, 59.2MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	560	24	584
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	560	25	585

Accuracy

100.0%

Counts

585 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	72.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
	72.1%	(.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
	71.8%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
▶	73.3%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
▶	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	19.0%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal -1 binary64) n)) (/.f64 (neg.f64 n) i)))
	18.7%	(.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)))
✓	23.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n)))
	11.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
	10.0%	(*.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)))
	13.8%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
	16.1%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
	38.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	39.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	12.5%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
	58.5%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	55.5%	(.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)))
▶	54.1%	(.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)))
	71.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	12.9%	(.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 n) i))))
	74.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	12.9%	#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)))
▶	50.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 101 to 740 computations (32.8% saved)

simplify211.0ms (1.2%)

Memory

-16.5MiB live, 224.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
cost-diff	0	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) 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	(*.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)))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
cost-diff	512	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	960	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
cost-diff	0	(*.f64 #s(literal 100 binary64) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
cost-diff	0	(*.f64 (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	42	345
0	75	335
1	146	335
2	307	331
3	842	331
4	2575	331
5	6538	331
0	8273	315

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

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

localize378.0ms (2.2%)

Memory

6.7MiB live, 328.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
accuracy	0.35933876741718873	(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
accuracy	4.120176534247114	(log1p.f64 (/.f64 i n))
accuracy	10.137893924326935	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	0	(neg.f64 n)
accuracy	0.06869125976844201	(*.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)))
accuracy	14.654910918563564	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	37.694326750090106	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))
accuracy	0.2743079353547082	(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy	3.4152356986213843	(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	4.06832456648534	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
accuracy	23.88825471647257	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
accuracy	0	(*.f64 #s(literal 100 binary64) n)
accuracy	29.20487317871707	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0.08203125	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy	4.120176534247114	(log1p.f64 (/.f64 i n))
accuracy	10.022031816875678	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
accuracy	10.137893924326935	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

176.0ms	157×	1	valid
134.0ms	38×	2	valid
19.0ms	48×	0	valid
4.0ms	11×	0	invalid
3.0ms	1×	5	exit
2.0ms	1×	3	valid

Compiler

Compiled 677 to 87 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-pow: 80.0ms (35.5% of total)

ival-mult: 37.0ms (16.4% of total)

adjust: 24.0ms (10.6% of total)

ival-div: 24.0ms (10.6% of total)

ival-expm1: 24.0ms (10.6% of total)

ival-add: 14.0ms (6.2% of total)

const: 9.0ms (4% of total)

ival-sub: 6.0ms (2.7% of total)

ival-log1p: 5.0ms (2.2% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.2%)

Memory

19.6MiB live, 55.4MiB allocated

Counts

20 → 268

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (neg n))
6.0ms	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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (neg n))
6.0ms	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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (neg n))
5.0ms	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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (neg n))
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) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i)) (neg n))

simplify198.0ms (1.1%)

Memory

1.9MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1103	9728
1	3457	8860
0	8675	8197

Stop Event

1×	iter limit
1×	node limit

Counts

268 → 266

Calls

Call 1

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

rewrite281.0ms (1.6%)

Memory

-26.4MiB live, 259.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	262
0	75	252
1	312	248
2	2506	240
0	9474	240

Stop Event

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

Counts

20 → 940

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

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

eval199.0ms (1.1%)

Memory: 15.2MiB live, 174.9MiB allocated
Compiler: Compiled 40 419 to 4 596 computations (88.6% saved)

prune78.0ms (0.5%)

Memory

-13.9MiB live, 72.5MiB allocated

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1 108	27	1 135
Fresh	14	5	19
Picked	2	3	5
Done	0	1	1
Total	1 124	36	1 160

Accuracy

100.0%

Counts

1 160 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	58.6%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 #s(approx ( (log (+ 1 (/ i n))) 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)))) (/.f64 i n))
	12.5%	(/.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))
	58.4%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	41.2%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	73.9%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))))
	73.3%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	72.1%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	72.2%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	73.8%	(.f64 (.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i)) n)
	54.2%	(.f64 (.f64 #s(approx (- (exp (* (log (+ 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 #s(literal 100 binary64) i)) n)
▶	12.5%	(.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	73.6%	(.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) n)
	55.4%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
▶	74.0%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
✓	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	12.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 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))) i) n (/.f64 (neg.f64 n) i)))
	11.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i)))
	18.7%	(.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)))
✓	23.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n)))
	11.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) 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))) #s(literal 1 binary64)) (/.f64 i n)))
	55.5%	(.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)))
	58.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n)))
▶	71.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	54.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 (.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))) (*.f64 n i)) n)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	5.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
▶	58.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))))
	8.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	53.7%	#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i 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)))
✓	50.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	53.9%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
▶	16.4%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))

Compiler

Compiled 2 002 to 1 322 computations (34% saved)

simplify158.0ms (0.9%)

Memory

17.6MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	452
0	93	438
1	188	437
2	403	435
3	1079	435
4	3412	426
5	6263	426
0	8300	382

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (1.5%)

Memory

-17.0MiB live, 64.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i))
accuracy	0.07421875	(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
accuracy	0.22075596538745332	(-.f64 (log.f64 i) (log.f64 n))
accuracy	13.847595840613488	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
accuracy	0.00390625	(*.f64 (expm1.f64 i) n)
accuracy	0.015625	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
accuracy	2.0274791674718013	(/.f64 (*.f64 (expm1.f64 i) n) i)
accuracy	8.219931956463643	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
accuracy	0.0625	(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
accuracy	0.6843662568328645	(*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)
accuracy	8.44190962096863	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))
accuracy	8.579755043150257	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))
accuracy	0	(/.f64 #s(literal 0 binary64) i)
accuracy	15.771178471784284	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
accuracy	0.00390625	(/.f64 (expm1.f64 i) i)
accuracy	0.00390625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	0.01171875	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
accuracy	8.256331861715724	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))

Samples

95.0ms	168×	0	invalid
78.0ms	49×	1	valid
37.0ms	31×	0	valid
11.0ms	8×	2	valid

Compiler

Compiled 770 to 132 computations (82.9% saved)

Precisions

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

ival-div: 43.0ms (21.8% of total)

ival-add: 38.0ms (19.3% of total)

ival-pow: 30.0ms (15.2% of total)

const: 30.0ms (15.2% of total)

ival-mult: 29.0ms (14.7% of total)

adjust: 8.0ms (4.1% of total)

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

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

ival-log1p: 3.0ms (1.5% of total)

ival-expm1: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series236.0ms (1.4%)

Memory

6.5MiB live, 196.3MiB allocated

Counts

20 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	i	@	-inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (- (log i) (log n)) n) (+ (* 1/6 i) 1/2) (- (log i) (log n)))
50.0ms	i	@	inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (- (log i) (log n)) n) (+ (* 1/6 i) 1/2) (- (log i) (log n)))
44.0ms	i	@	0	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (- (log i) (log n)) n) (+ (* 1/6 i) 1/2) (- (log i) (log n)))
34.0ms	n	@	0	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (- (log i) (log n)) n) (+ (* 1/6 i) 1/2) (- (log i) (log n)))
25.0ms	n	@	inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ 0 i) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (- (log i) (log n)) n) (+ (* 1/6 i) 1/2) (- (log i) (log n)))

simplify177.0ms (1%)

Memory

24.1MiB live, 221.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	809	5831
1	2608	5424
0	8396	4977

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

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

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

rewrite159.0ms (0.9%)

Memory

3.1MiB live, 202.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	388
0	93	369
1	435	366
2	3755	360
0	9407	334

Stop Event

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

Counts

20 → 253

Calls

Call 1

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

Outputs
(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
(.f64 n #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(.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 #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 (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 -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(.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)) (pow.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.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 (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 (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 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.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))
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(/.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (log.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (.f64 i #s(literal 1/100 binary64)))
(/.f64 (neg.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))))
(/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (log.f64 (/.f64 i n)) n)) (.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n))
(*.f64 (log.f64 (/.f64 i n)) n)
(*.f64 n (log.f64 (/.f64 i n)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) n)) (neg.f64 (log.f64 (.f64 n i))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) n)) (neg.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))) (neg.f64 (log.f64 (.f64 n i))))
(/.f64 (neg.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) n) (log.f64 (.f64 n i)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) n) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))
(/.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (log.f64 (.f64 n i)))
(/.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))
(fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n))
(fma.f64 n (log.f64 i) (*.f64 n (neg.f64 (log.f64 n))))
(+.f64 (.f64 (log.f64 i) n) (.f64 (neg.f64 (log.f64 n)) n))
(+.f64 (.f64 n (log.f64 i)) (.f64 n (neg.f64 (log.f64 n))))
(.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)) (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) i) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) i))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) i) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) i)))
(/.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) i) #s(literal 2 binary64)) (.f64 i #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)) (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) i) #s(literal 2 binary64)) (.f64 i #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64)) (fma.f64 (*.f64 i i) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) i) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))
(.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 n i)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 n i)))
(.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (log.f64 (*.f64 n i)) (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 n i)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 n i))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 i) (log.f64 i) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 i) (neg.f64 (log.f64 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (-.f64 (log.f64 i) (neg.f64 (log.f64 n))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 (*.f64 n i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 n i)) (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 i) (log.f64 i) (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 i) (neg.f64 (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 n i)) (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 n i)))
(fma.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 n i)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 n i)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))
(fma.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (log.f64 (/.f64 i #s(literal 1 binary64))) (log.f64 n))
(-.f64 (log.f64 (neg.f64 (neg.f64 i))) (log.f64 n))
(-.f64 (log.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i))) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 (*.f64 i #s(literal 1 binary64))) (log.f64 n))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 n) i)))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) i)) (log.f64 n))
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (.f64 n i))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 (.f64 n i))))
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 n i)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) i)) (neg.f64 (log.f64 n)))
(+.f64 (log.f64 (neg.f64 i)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 i n)) #s(literal 0 binary64))
(+.f64 (log.f64 i) (log.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 i) (neg.f64 (log.f64 n)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))

eval63.0ms (0.4%)

Memory: -6.9MiB live, 117.2MiB allocated
Compiler: Compiled 18 332 to 2 195 computations (88% saved)

prune36.0ms (0.2%)

Memory

4.8MiB live, 87.2MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	399	16	415
Fresh	11	16	27
Picked	2	3	5
Done	0	4	4
Total	412	39	451

Accuracy

100.0%

Counts

451 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.3%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
✓	74.3%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	58.6%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 #s(approx ( (log (+ 1 (/ i n))) 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)))) (/.f64 i n))
	58.4%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	41.2%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	73.9%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))))
	73.3%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	16.6%	(.f64 (/.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (log.f64 (/.f64 i n)) n)) (.f64 i #s(literal 1/100 binary64))) n)
	72.1%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	16.5%	(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)))
	16.6%	(.f64 (.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64))) n)
▶	73.8%	(.f64 (.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i)) n)
✓	12.5%	(.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	55.4%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
▶	73.9%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)) n)
✓	74.0%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
	58.8%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64))) n)
	58.8%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n)
	58.4%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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)
	55.7%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) n)
✓	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	11.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i)))
	18.7%	(.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)))
✓	23.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n)))
	55.5%	(.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)))
✓	71.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
▶	57.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i)))
	54.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (*.f64 n i)) i)))
	58.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (.f64 #s(literal 1/2 binary64) n)) i n))))
	55.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	52.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) #s(approx (+ ( 1/6 i) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))))
▶	8.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	3.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) #s(approx (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)))))
✓	50.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	53.9%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
▶	16.4%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 2 087 to 1 398 computations (33% saved)

simplify186.0ms (1.1%)

Memory

-9.3MiB live, 225.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) 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)))
cost-diff	0	(.f64 (expm1.f64 #s(approx ( (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i))
cost-diff	0	(.f64 (.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i)) n)
cost-diff	704	(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
cost-diff	0	(/.f64 #s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i)
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i)))
cost-diff	320	(fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (.f64 #s(literal 1/2 binary64) n))
cost-diff	0	(.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
cost-diff	0	#s(approx (/ 0 i) #s(literal 0 binary64))
cost-diff	0	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
cost-diff	0	(*.f64 (expm1.f64 i) #s(literal 100 binary64))
cost-diff	0	(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
cost-diff	0	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
cost-diff	0	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)) n)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	582
0	110	574
1	214	566
2	462	564
3	1241	564
4	3408	552
5	7347	552
0	8283	502

Stop Event

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

Calls

Call 1

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

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

localize393.0ms (2.3%)

Memory

-0.7MiB live, 302.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.35933876741718873	(.f64 (expm1.f64 #s(approx ( (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i))
accuracy	0.37109375	(/.f64 #s(literal 1/3 binary64) n)
accuracy	1.328685207997362	(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i)
accuracy	18.381236054376018	#s(approx (* (log (+ 1 (/ i n))) 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))
accuracy	0.20703125	(*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)))
accuracy	5.124127970645695	(/.f64 #s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i)
accuracy	13.819797026648953	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i))
accuracy	13.832580649309204	#s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i))
accuracy	0.1796875	(.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))
accuracy	6.5908543606551016	(/.f64 (*.f64 i i) n)
accuracy	23.88825471647257	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))))
accuracy	43.111374108289645	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))
accuracy	0	#s(approx (/ 0 i) #s(literal 0 binary64))
accuracy	50.62883957829781	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
accuracy	0.0234375	(*.f64 (expm1.f64 i) #s(literal 100 binary64))
accuracy	0.0625	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)) n)
accuracy	0.12890625	(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
accuracy	14.657814632233412	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))

Samples

228.0ms	155×	1	valid
68.0ms	40×	2	valid
33.0ms	48×	0	valid
5.0ms	11×	0	invalid
3.0ms	1×	5	exit
3.0ms	1×	3	valid

Compiler

Compiled 960 to 151 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-pow: 100.0ms (34.1% of total)

ival-mult: 75.0ms (25.5% of total)

ival-div: 32.0ms (10.9% of total)

adjust: 28.0ms (9.5% of total)

ival-add: 24.0ms (8.2% of total)

const: 14.0ms (4.8% of total)

ival-expm1: 7.0ms (2.4% of total)

ival-sub: 7.0ms (2.4% of total)

ival-log1p: 5.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series36.0ms (0.2%)

Memory

2.4MiB live, 39.1MiB allocated

Counts

23 → 187

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
11.0ms	n	@	-inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ 0 i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (+ (* (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* i i) n) (* (- (exp i) 1) n) (* n (+ (* 1/24 i) 1/6)) (* (log (+ 1 (/ i n))) n) (/ 1/3 n))
5.0ms	i	@	-inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ 0 i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (+ (* (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* i i) n) (* (- (exp i) 1) n) (* n (+ (* 1/24 i) 1/6)) (* (log (+ 1 (/ i n))) n) (/ 1/3 n))
4.0ms	i	@	inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ 0 i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (+ (* (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* i i) n) (* (- (exp i) 1) n) (* n (+ (* 1/24 i) 1/6)) (* (log (+ 1 (/ i n))) n) (/ 1/3 n))
4.0ms	n	@	0	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ 0 i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (+ (* (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* i i) n) (* (- (exp i) 1) n) (* n (+ (* 1/24 i) 1/6)) (* (log (+ 1 (/ i n))) n) (/ 1/3 n))
4.0ms	n	@	inf	((* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/ 0 i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (+ (* (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (+ (* (/ 1/3 n) (/ i n)) (/ -1/2 n)) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) n) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* i i) n) (* (- (exp i) 1) n) (* n (+ (* 1/24 i) 1/6)) (* (log (+ 1 (/ i n))) n) (/ 1/3 n))

simplify187.0ms (1.1%)

Memory

-27.4MiB live, 235.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	899	6308
1	2854	5790
0	8322	5313

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 185

Calls

Call 1

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

rewrite146.0ms (0.8%)

Memory

12.4MiB live, 49.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	487
0	110	479
1	480	471
2	4112	465
0	8400	432

Stop Event

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

Counts

23 → 243

Calls

Call 1

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

Outputs
(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)) n)
(.f64 n #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 (expm1.f64 i) #s(literal 100 binary64)))
(.f64 (.f64 #s(literal -100 binary64) (expm1.f64 i)) (pow.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i))
(.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(.f64 #s(literal 100 binary64) (.f64 (expm1.f64 i) (pow.f64 i #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(pow.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) i)
(/.f64 (.f64 (expm1.f64 i) #s(literal 1 binary64)) (.f64 i #s(literal 1/100 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal -100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (.f64 i #s(literal 1/100 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal -100 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (.f64 (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))) (.f64 i #s(literal 1/100 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i)))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 2 binary64)))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64)))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 2 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (/ 0 i) #s(literal 0 binary64))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64)))) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64))))
#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64)))
(.f64 (.f64 (*.f64 i i) #s(literal 1/3 binary64)) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) i) (/.f64 i n))
(.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64))
(.f64 (.f64 i i) (/.f64 #s(literal 1/3 binary64) n))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 i n) i))
(.f64 i (.f64 (/.f64 #s(literal 1/3 binary64) n) i))
(pow.f64 (/.f64 n (.f64 (.f64 i i) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 i) i) #s(literal 1/3 binary64)) (neg.f64 n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 i) i)) (neg.f64 n))
(/.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 1/3 binary64))) (neg.f64 n))
(/.f64 (.f64 (.f64 i i) #s(literal 1/3 binary64)) n)
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n i) i))
(/.f64 #s(literal 1 binary64) (/.f64 n (.f64 (.f64 i i) #s(literal 1/3 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 n n))) (pow.f64 (.f64 n (-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) n) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)) (pow.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 n (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)))
(.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i)))
(pow.f64 (/.f64 (.f64 n (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 n n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) n) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 n n)))) (neg.f64 (.f64 n (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) n) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 n n))) (.f64 n (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 n n) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 1/2 binary64)) n))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) n) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 n (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) n) (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i) #s(literal 3 binary64)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) n (.f64 #s(literal 1/2 binary64) n))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i (.f64 #s(literal 1/2 binary64) n))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) (.f64 n i) (.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) n (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n) i))
(fma.f64 (.f64 n i) (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) n))
(fma.f64 n (.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i) (.f64 #s(literal 1/2 binary64) n))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n i) i))
(neg.f64 (/.f64 (*.f64 (neg.f64 i) i) n))
(neg.f64 (/.f64 (*.f64 i i) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 n i) i)) #s(literal -1 binary64)))
#s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (.f64 n (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))) i n) i))
(*.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) n)
(*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 i i) #s(literal -1/36 binary64)) n) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64)) n) (fma.f64 #s(literal 1/576 binary64) (.f64 i i) (-.f64 #s(literal 1/36 binary64) (*.f64 i #s(literal 1/144 binary64)))))
(/.f64 (.f64 n (fma.f64 #s(literal 1/576 binary64) (.f64 i i) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/24 binary64) i #s(literal -1/6 binary64)))
(/.f64 (.f64 n (fma.f64 #s(literal 1/13824 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 i i) (-.f64 #s(literal 1/36 binary64) (*.f64 i #s(literal 1/144 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) i) n) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) n) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) i) n) (.f64 #s(literal 1/6 binary64) n)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 (.f64 n i) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) i) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) n) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) i) n) (*.f64 #s(literal 1/6 binary64) n)))))
(fma.f64 (.f64 n #s(literal 1/24 binary64)) i (.f64 #s(literal 1/6 binary64) n))
(fma.f64 (.f64 #s(literal 1/24 binary64) i) n (.f64 #s(literal 1/6 binary64) n))
(fma.f64 #s(literal 1/24 binary64) (.f64 n i) (.f64 #s(literal 1/6 binary64) n))
(fma.f64 #s(literal 1/6 binary64) n (.f64 (.f64 #s(literal 1/24 binary64) i) n))
(fma.f64 (.f64 n i) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) n))
(fma.f64 n (.f64 #s(literal 1/24 binary64) i) (.f64 #s(literal 1/6 binary64) n))
(fma.f64 n #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) i) n))
(fma.f64 i (.f64 #s(literal 1/24 binary64) n) (.f64 #s(literal 1/6 binary64) n))
(+.f64 (.f64 (.f64 #s(literal 1/24 binary64) i) n) (*.f64 #s(literal 1/6 binary64) n))
(+.f64 (.f64 #s(literal 1/6 binary64) n) (.f64 (*.f64 #s(literal 1/24 binary64) i) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (.f64 (fma.f64 i (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) i) i i))
(+.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (.f64 (fma.f64 i (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) i) i i)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (.f64 (fma.f64 i (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))
(log.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (.f64 (fma.f64 i (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) n))
(pow.f64 (/.f64 (*.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 n #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 n))
(/.f64 #s(literal 1/3 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) n))
(exp.f64 (.f64 (log.f64 (.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))

eval54.0ms (0.3%)

Memory: 5.5MiB live, 42.5MiB allocated
Compiler: Compiled 20 403 to 2 413 computations (88.2% saved)

prune40.0ms (0.2%)

Memory

-7.4MiB live, 39.1MiB allocated

Pruning

45 alts after pruning (34 fresh and 11 done)

	Pruned	Kept	Total
New	412	13	425
Fresh	6	21	27
Picked	1	4	5
Done	0	7	7
Total	419	45	464

Accuracy

100.0%

Counts

464 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.3%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i)
✓	74.3%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	58.6%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 #s(approx ( (log (+ 1 (/ i n))) 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)))) (/.f64 i n))
	41.2%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	73.9%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))))
	73.3%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	16.6%	(.f64 (/.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (log.f64 (/.f64 i n)) n)) (.f64 i #s(literal 1/100 binary64))) n)
	72.1%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	16.5%	(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) n) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)))
	16.6%	(.f64 (.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64))) n)
✓	73.8%	(.f64 (.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) 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))) (/.f64 #s(literal 100 binary64) i)) n)
✓	12.5%	(.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	55.4%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n)
✓	73.9%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)) n)
	73.9%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 binary64)))) n)
	59.0%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)) i)) n)
	50.3%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 #s(literal 100 binary64) i)) i)) n)
✓	74.0%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
	58.8%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (/ (* (- (exp i) 1) 100) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n)
	58.4%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (/ (* (- (exp i) 1) 100) i) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n)
	55.7%	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (/ (* (- (exp i) 1) 100) i) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) n)
✓	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	11.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	19.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i)))
	18.7%	(.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)))
✓	23.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n)))
	55.5%	(.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)))
✓	71.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	57.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 #s(approx (+ ( (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (.f64 (.f64 (*.f64 i i) n) #s(literal 1/24 binary64))) i n) i)) i)))
	54.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (*.f64 n i)) i)))
	57.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(literal 1 binary64) (/.f64 i #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 (.f64 n (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))) i n) i))))))
	58.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n) i n))))
	55.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))
	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	4.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n i) i)))))
	52.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) #s(approx (+ ( 1/6 i) 1/2) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))))
✓	8.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	4.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 i (/.f64 n i)) #s(literal 1/3 binary64)))))
	4.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 #s(literal 1/3 binary64) i) (/.f64 i n)))))
	4.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 i (.f64 (/.f64 #s(literal 1/3 binary64) n) i)))))
	3.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) #s(approx (* (+ (* i (+ (/ (+ (* -1/2 i) -1/2) n) (+ (* 1/6 i) 1/2))) 1) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)))))
✓	50.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	53.9%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
✓	16.4%	#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 3 861 to 1 363 computations (64.7% saved)

regimes81.0ms (0.5%)

Memory

-2.5MiB live, 36.1MiB allocated

Counts

81 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	i
21.0ms	n
18.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
17.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
89.4%	5	`i`
90.2%	3	`n`
93.6%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
93.6%	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)

regimes36.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

77 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

16.0ms

(/.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
92.3%	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)))`
92.3%	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)

regimes37.0ms (0.2%)

Memory

-19.7MiB live, 19.0MiB allocated

Counts

76 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms

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

16.0ms

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

Results

Accuracy	Segments	Branch
92.2%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
92.2%	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)

regimes71.0ms (0.4%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

71 → 4

Calls

Call 1

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

Calls

4 calls:

19.0ms	i
18.0ms	n
15.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i 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)))

Results

Accuracy	Segments	Branch
78.3%	3	`i`
84.2%	4	`n`
78.7%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
78.7%	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)

regimes47.0ms (0.3%)

Memory

-17.2MiB live, 22.5MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	n
12.0ms	i
10.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
63.1%	3	`i`
59.0%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
59.0%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
70.1%	4	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
70.1%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
69.7%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
69.4%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0%)

Memory

-38.3MiB live, 4.1MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

7.0ms

Results

Accuracy	Segments	Branch
69.4%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.9%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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
66.5%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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
66.5%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.7%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.7%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	n
2.0ms	i
1.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
50.1%	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)))`
50.1%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
58.7%	3	`i`
58.0%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.4%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
16.4%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
16.4%	1	`n`
16.4%	1	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.624209629331704e-290

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.624209629331704e-290

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.624209629331704e-290

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch92.0ms (0.5%)

Memory

-14.4MiB live, 24.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0008896969481349201	0.0008971450186906606
40.0ms	9.863833009984045e-251	5.909064914304719e-240
44.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Samples

41.0ms	138×	2	valid
13.0ms	216×	0	invalid
11.0ms	78×	1	valid
4.0ms	71×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 852 to 663 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 24.0ms (44.4% of total)

ival-div: 11.0ms (20.4% of total)

adjust: 7.0ms (13% of total)

ival-mult: 4.0ms (7.4% of total)

ival-sub: 4.0ms (7.4% of total)

ival-add: 3.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0008896969481349201	0.0008971450186906606
1.0ms	9.863833009984045e-251	5.909064914304719e-240
39.0ms	-5.84746140942168e-85	-1.1370902884757947e-89

Samples

15.0ms	40×	2	valid
14.0ms	80×	1	valid
3.0ms	55×	0	invalid
0.0ms	8×	0	valid

Compiler

Compiled 988 to 735 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 13.0ms (48.8% of total)

ival-div: 5.0ms (18.8% of total)

adjust: 3.0ms (11.3% of total)

ival-add: 2.0ms (7.5% of total)

ival-mult: 2.0ms (7.5% of total)

ival-sub: 2.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch58.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
52.0ms	1733.3836566820644	5.765434559258256e+28
1.0ms	9.863833009984045e-251	5.909064914304719e-240
1.0ms	-5.84746140942168e-85	-1.1370902884757947e-89

Samples

23.0ms	56×	2	valid
15.0ms	72×	1	valid
4.0ms	48×	0	valid
2.0ms	40×	0	invalid

Compiler

Compiled 1 728 to 1 286 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 22.0ms (59% of total)

ival-div: 5.0ms (13.4% of total)

adjust: 4.0ms (10.7% of total)

ival-sub: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-mult: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Memory

-27.1MiB live, 11.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1733.3836566820644	5.765434559258256e+28
1.0ms	9.863833009984045e-251	5.909064914304719e-240
36.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Samples

18.0ms	54×	2	valid
5.0ms	93×	0	invalid
5.0ms	30×	1	valid
2.0ms	28×	0	valid

Compiler

Compiled 1 616 to 1 214 computations (24.9% saved)

Precisions

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

ival-pow: 11.0ms (46.5% of total)

ival-div: 4.0ms (16.9% of total)

adjust: 3.0ms (12.7% of total)

ival-mult: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0008896969481349201	0.0008971450186906606
1.0ms	9.863833009984045e-251	5.909064914304719e-240
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 956 to 719 computations (24.8% saved)

bsearch3.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0008896969481349201	0.0008971450186906606
1.0ms	9.863833009984045e-251	5.909064914304719e-240
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 956 to 743 computations (22.3% saved)

bsearch45.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	6.090573844645699e-90	1.7775342352493787e-81
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Samples

17.0ms	44×	2	valid
13.0ms	80×	1	valid
2.0ms	43×	0	invalid
1.0ms	20×	0	valid

Compiler

Compiled 1 055 to 797 computations (24.5% saved)

Precisions

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

ival-pow: 14.0ms (50.5% of total)

ival-div: 4.0ms (14.4% of total)

adjust: 3.0ms (10.8% of total)

ival-add: 2.0ms (7.2% of total)

ival-mult: 2.0ms (7.2% of total)

ival-sub: 2.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.090573844645699e-90	1.7775342352493787e-81
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 1 092 to 795 computations (27.2% saved)

bsearch3.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.090573844645699e-90	1.7775342352493787e-81
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 1 004 to 763 computations (24% saved)

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.090573844645699e-90	1.7775342352493787e-81
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 953 to 711 computations (25.4% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.090573844645699e-90	1.7775342352493787e-81
1.0ms	-7.746916774738543e-201	-1.497497138851774e-204

Compiler

Compiled 953 to 729 computations (23.5% saved)

bsearch85.0ms (0.5%)

Memory

-21.5MiB live, 17.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	375.61621737574063	42665.797960584176
46.0ms	-1.1894981965490496e-16	-1.2055165075836721e-26

Samples

62.0ms	262×	1	valid
5.0ms	58×	0	invalid
1.0ms	10×	0	valid
0.0ms	1×	1	exit

Compiler

Compiled 749 to 576 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-pow: 33.0ms (57.5% of total)

ival-div: 10.0ms (17.4% of total)

adjust: 5.0ms (8.7% 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)

simplify32.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1645
1	240	1645
2	253	1645
3	267	1645
4	273	1645
5	275	1645

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 0 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) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i))) #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 0 binary64)) (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (.f64 n #s(literal 100 binary64))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i))) #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 0 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) (fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) (/.f64 (neg.f64 n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))))
(if (<=.f64 n #s(literal -8189640480253831/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 4104400556400375/4611686018427387904 binary64)) (/.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 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -103028258140179/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (.f64 #s(literal 1/2 binary64) n)) i n) i)) i))) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 4104400556400375/4611686018427387904 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx (* (- (exp i) 1) n) (.f64 (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) i (*.f64 #s(literal 1/2 binary64) n)) i n) i)) i))))))
(if (<=.f64 n #s(literal -103028258140179/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( (- (exp i) 1) n) (.f64 (fma.f64 #s(approx (+ ( (* n (+ (* 1/24 i) 1/6)) i) (* 1/2 n)) (.f64 (.f64 (.f64 i i) n) #s(literal 1/24 binary64))) i n) i)) i))) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 1750 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)) i)) n))))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n) i n)))) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 1750 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) (/.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i)) i)) n))))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n) i n)))) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 4104400556400375/4611686018427387904 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) n) i n)))))))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 584264989684897/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 4104400556400375/4611686018427387904 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n))))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 3554922854784611/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)))) n)))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) (if (<=.f64 n #s(literal 3554922854784611/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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)))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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) (if (<=.f64 n #s(literal 3554922854784611/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #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)))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 3554922854784611/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( (- (exp i) 1) n) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))))))
(if (<=.f64 n #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 3554922854784611/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 100 i)) #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) n)))
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#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

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

soundness1.3s (7.4%)

Memory

-8.4MiB live, 33.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3778
1	1624	3436
2	5511	3215
0	8123	2937
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38
0	899	6308
1	2854	5790
0	8322	5313
0	42	262
0	75	252
1	312	248
2	2506	240
0	9474	240
0	67	388
0	93	369
1	435	366
2	3755	360
0	9407	334
0	809	5831
1	2608	5424
0	8396	4977
0	1103	9728
1	3457	8860
0	8675	8197

Stop Event

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

Compiler

Compiled 3 330 to 1 271 computations (61.8% saved)

preprocess102.0ms (0.6%)

Memory: -15.5MiB live, 60.9MiB allocated
Compiler: Compiled 3 400 to 466 computations (86.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.1s (29.7%)

sample4.5s (26%)

explain489.0ms (2.8%)

preprocess184.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify137.0ms (0.8%)

localize140.0ms (0.8%)

series21.0ms (0.1%)

simplify333.0ms (1.9%)

rewrite584.0ms (3.4%)

eval92.0ms (0.5%)

prune27.0ms (0.2%)

simplify211.0ms (1.2%)

localize378.0ms (2.2%)

series40.0ms (0.2%)

simplify198.0ms (1.1%)

rewrite281.0ms (1.6%)

eval199.0ms (1.1%)

prune78.0ms (0.5%)

simplify158.0ms (0.9%)

localize255.0ms (1.5%)

series236.0ms (1.4%)

simplify177.0ms (1%)

rewrite159.0ms (0.9%)

eval63.0ms (0.4%)

prune36.0ms (0.2%)

simplify186.0ms (1.1%)

localize393.0ms (2.3%)

series36.0ms (0.2%)

simplify187.0ms (1.1%)

rewrite146.0ms (0.8%)

eval54.0ms (0.3%)

prune40.0ms (0.2%)

regimes81.0ms (0.5%)

regimes36.0ms (0.2%)

regimes37.0ms (0.2%)

regimes71.0ms (0.4%)

regimes47.0ms (0.3%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch92.0ms (0.5%)

bsearch43.0ms (0.3%)

bsearch58.0ms (0.3%)

bsearch45.0ms (0.3%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch45.0ms (0.3%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch85.0ms (0.5%)

simplify32.0ms (0.2%)

soundness1.3s (7.4%)

preprocess102.0ms (0.6%)

end0.0ms (0%)

Profiling