Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze408.0ms (3.6%)

Memory

-29.0MiB live, 260.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample3.6s (32.4%)

Memory

78.6MiB live, 3 118.0MiB allocated

Samples

1.4s	4 527×	1	valid
1.2s	1 610×	2	valid
316.0ms	1 990×	0	invalid
258.0ms	2 067×	0	valid
46.0ms	52×	3	valid
2.0ms	21×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-pow: 1.6s (63.9% of total)

ival-div: 372.0ms (14.7% of total)

adjust: 202.0ms (8% of total)

ival-mult: 122.0ms (4.8% of total)

ival-sub: 104.0ms (4.1% of total)

ival-add: 90.0ms (3.6% of total)

exact: 11.0ms (0.4% of total)

ival-true: 9.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain363.0ms (3.2%)

Memory

-22.1MiB live, 338.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
195	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
51	95	(-6.716023479077395e-214 1.9521539968551116e+102)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
46	0	-	5	(-8.859658565933801e-128 3.126675322821297e+196)	`(/.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	195	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	126	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	41	0
↳	`(/.f64 i n)`	underflow	41
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	20	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	19
↳	`(/.f64 i n)`	overflow	20
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	20

Confusion

	Predicted +	Predicted -
+	185	0
-	41	30

Precision

0.8185840707964602

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	0	0
-	41	0	30

Precision?

0.8185840707964602

Recall?

1.0

Freqs

test

number	freq
0	30
1	111
2	74
3	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms	314×	1	valid
55.0ms	132×	2	valid
6.0ms	62×	0	valid
4.0ms	4×	3	valid

Compiler

Compiled 131 to 34 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-pow: 86.0ms (59.8% of total)

ival-div: 23.0ms (16% of total)

adjust: 15.0ms (10.4% of total)

ival-add: 7.0ms (4.9% of total)

ival-sub: 6.0ms (4.2% of total)

ival-mult: 6.0ms (4.2% of total)

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

exact: 1.0ms (0.7% of total)

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

preprocess201.0ms (1.8%)

Memory

17.0MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	85
1	82	81
2	242	77
3	938	77
4	3928	77
5	6174	77
0	10	15
0	16	15
1	30	15
2	56	15
3	104	15
4	204	15
5	479	15
6	814	15
7	1303	15
8	2234	15
9	3144	15
10	3602	15
11	3746	15
12	3756	15
13	3757	15
14	3757	15
15	3777	15
16	3785	15
17	3785	15
0	3785	14

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(*.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)

simplify130.0ms (1.2%)

Memory

7.1MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
0	16	56
1	30	56
2	56	56
3	104	56
4	204	56
5	479	56
6	814	56
7	1303	56
8	2234	56
9	3144	56
10	3602	56
11	3746	56
12	3756	56
13	3757	56
14	3757	56
15	3777	56
16	3785	56
17	3785	56
0	3785	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

localize127.0ms (1.1%)

Memory

0.1MiB live, 73.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.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	10.32238110774638	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	12.31627557811761	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	45.97073355829285	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

60.0ms	157×	1	valid
28.0ms	66×	2	valid
3.0ms	31×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 41.0ms (52.3% of total)

ival-mult: 17.0ms (21.7% of total)

ival-div: 8.0ms (10.2% of total)

adjust: 6.0ms (7.6% of total)

ival-sub: 3.0ms (3.8% of total)

ival-add: 3.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory

-30.7MiB live, 16.6MiB allocated

Counts

4 → 89

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
5.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
4.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
3.0ms	n	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
2.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))

simplify174.0ms (1.6%)

Memory

1.7MiB live, 198.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3778
1	1624	3436
2	5557	3189
0	8132	2913

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

Calls

Call 1

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

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

rewrite380.0ms (3.4%)

Memory

31.6MiB live, 258.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	73	44
2	570	44
3	7371	44
0	8686	38

Stop Event

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

Counts

4 → 498

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) #s(literal -1 binary64)) (neg.f64 n))
(.f64 (/.f64 (.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) (/.f64 (neg.f64 n) i))
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n)) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) #s(literal 1 binary64)) n)
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(.f64 (.f64 (.f64 #s(literal -100 binary64) (/.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)) #s(literal 100 binary64)) n) (pow.f64 i #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 #s(literal 100 binary64) (neg.f64 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) (neg.f64 i)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (.f64 (neg.f64 n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (*.f64 (neg.f64 n) #s(literal 100 binary64)))
(.f64 (/.f64 (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)) (/.f64 #s(literal 100 binary64) i)) n)
(.f64 (.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
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(fma.f64 (pow.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 (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))
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.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 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(fma.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) #s(literal -1 binary64))
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(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (/.f64 (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))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.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))
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 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)) (neg.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))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.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))) (neg.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))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(expm1.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)))))
(expm1.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(expm1.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)))
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(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.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 (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 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 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 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.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))) (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 0 binary64) (neg.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 (neg.f64 (neg.f64 (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 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.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))) (neg.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) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(+.f64 (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)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))))
(*.f64 (pow.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 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n))
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 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))
(.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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))

eval68.0ms (0.6%)

Memory: -16.8MiB live, 107.0MiB allocated
Compiler: Compiled 18 430 to 2 124 computations (88.5% saved)

prune26.0ms (0.2%)

Memory

18.7MiB live, 58.0MiB 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
	18.1%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)))
▶	69.3%	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
▶	77.4%	(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))
	75.6%	(.f64 (/.f64 n i) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	76.2%	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n)
	20.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	20.7%	(.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)))
✓	29.5%	(*.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)))
	22.6%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (pow.f64 n #s(literal -1 binary64))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))) (pow.f64 n #s(literal -2 binary64))))
	24.7%	(.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)))
	15.6%	(*.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)))
	20.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
▶	39.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	40.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	11.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
	53.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	54.4%	(.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)))
	74.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	71.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
	10.9%	(.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))))
	53.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) (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 (.f64 #s(literal 100 binary64) n)))
	77.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
▶	10.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	53.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 291 to 838 computations (35.1% saved)

simplify161.0ms (1.4%)

Memory

-8.8MiB live, 113.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	409
0	75	399
1	139	399
2	273	399
3	750	399
4	2288	399
5	6386	399
0	8490	393

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (2.1%)

Memory

-15.6MiB live, 148.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64))
accuracy	1.4567029421339448	(log1p.f64 (/.f64 i n))
accuracy	1.891559722048283	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
accuracy	2.703071533404267	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	0.0703125	(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
accuracy	0.1704348223331843	(-.f64 (log.f64 i) (log.f64 n))
accuracy	2.864352316999985	(.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
accuracy	13.587872503839959	#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)))
accuracy	0.47539838027821857	(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
accuracy	1.4460933384263	(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	2.749485117492334	(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))
accuracy	9.132483911397694	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))
accuracy	0.0	(*.f64 #s(literal 100 binary64) n)
accuracy	11.211337524006467	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0.02734375	(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
accuracy	1.4567029421339448	(log1p.f64 (/.f64 i n))
accuracy	2.703071533404267	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	2.762643392365085	(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n))

Samples

102.0ms	61×	1	valid
55.0ms	173×	0	invalid
26.0ms	8×	0	valid
13.0ms	14×	2	valid

Compiler

Compiled 362 to 41 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 61.0ms (41.9% of total)

ival-mult: 32.0ms (22% of total)

ival-pow: 16.0ms (11% of total)

const: 8.0ms (5.5% of total)

adjust: 6.0ms (4.1% of total)

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

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

ival-log: 5.0ms (3.4% of total)

ival-log1p: 3.0ms (2.1% of total)

ival-expm1: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series277.0ms (2.5%)

Memory

-6.1MiB live, 233.0MiB allocated

Counts

21 → 222

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
64.0ms	i	@	0	((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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)) (- (pow (+ 1 (/ i n)) n) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
54.0ms	i	@	-inf	((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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)) (- (pow (+ 1 (/ i n)) n) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
49.0ms	i	@	inf	((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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)) (- (pow (+ 1 (/ i n)) n) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
48.0ms	n	@	0	((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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)) (- (pow (+ 1 (/ i n)) n) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))
33.0ms	n	@	-inf	((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 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)) (- (pow (+ 1 (/ i n)) n) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (- (log i) (log n)) (/ (- (log i) (log n)) i))

simplify210.0ms (1.9%)

Memory

23.5MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	993	7382
1	3171	6917
0	8804	6360

Stop Event

1×	iter limit
1×	node limit

Counts

222 → 220

Calls

Call 1

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

rewrite177.0ms (1.6%)

Memory

-9.0MiB live, 193.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	304
0	75	290
1	291	290
2	2212	280
0	8868	280

Stop Event

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

Counts

21 → 512

Calls

Call 1

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

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

eval98.0ms (0.9%)

Memory: 6.0MiB live, 162.0MiB allocated
Compiler: Compiled 31 667 to 3 735 computations (88.2% saved)

prune43.0ms (0.4%)

Memory

13.7MiB live, 91.6MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	780	25	805
Fresh	9	10	19
Picked	4	1	5
Done	0	1	1
Total	793	37	830

Accuracy

100.0%

Counts

830 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 100 binary64)) (/.f64 i n))
	18.1%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)))
	29.9%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) n) #s(literal 100 binary64)) i)
	10.9%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) #s(literal 100 binary64)) i)
	74.6%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) n) #s(literal 100 binary64)) i)
	38.9%	(/.f64 (.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (fma.f64 (.f64 i 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))) i)) #s(literal 100 binary64)) (/.f64 i n))
▶	54.7%	(/.f64 (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64)) i)
	45.1%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	74.6%	(/.f64 #s(approx (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) i)
	77.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	55.2%	(.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (*.f64 #s(literal 100 binary64) n))
▶	53.4%	(.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (pow.f64 n #s(literal -1 binary64))))
	75.7%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	38.1%	(.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) (/.f64 n i))
	20.7%	(*.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)))
✓	29.5%	(*.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)))
	20.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
	53.6%	(.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) n) i))
	43.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	43.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
▶	33.6%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	6.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 i n)))
	8.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (.f64 i 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 i n)))
	45.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
	53.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	54.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	54.4%	(.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)))
▶	74.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	71.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
	53.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) (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 (.f64 #s(literal 100 binary64) n)))
	16.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n n) #s(literal 100 binary64)) (/.f64 i (log.f64 (/.f64 i n)))))
	16.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
▶	77.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	17.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (log.f64 (/.f64 i n)) i))))
	17.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)))))
✓	53.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 2 384 to 1 537 computations (35.5% saved)

simplify188.0ms (1.7%)

Memory

1.5MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	676
0	108	670
1	189	652
2	351	648
3	850	648
4	2418	648
5	6483	648
0	8066	624

Stop Event

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

Calls

Call 1

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

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

localize470.0ms (4.2%)

Memory

-20.8MiB live, 214.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.431051982369777	(fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))
accuracy	3.8579724312833235	(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	5.154606299385926	(.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (pow.f64 n #s(literal -1 binary64))))
accuracy	25.009840513370268	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))
accuracy	0.0078125	(*.f64 (expm1.f64 i) n)
accuracy	0.05859375	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
accuracy	6.698709920890026	(/.f64 (*.f64 (expm1.f64 i) n) i)
accuracy	11.956729492453302	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
accuracy	9.797737058846955	(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64)) i)) (/.f64 i n))
accuracy	22.698937364715743	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))
accuracy	25.009840513370268	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) i #s(literal 1 binary64)) i))
accuracy	34.88544764575349	#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n)))
accuracy	0.0	(*.f64 n i)
accuracy	0.1328125	(.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64))
accuracy	5.096474436393237	(/.f64 (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64)) i)
accuracy	21.496526541875454	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i))
accuracy	0.0078125	(/.f64 (expm1.f64 i) i)
accuracy	0.0625	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy	0.06640625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	11.978256502895205	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))

Samples

248.0ms	157×	1	valid
115.0ms	63×	2	valid
13.0ms	4×	5	exit
9.0ms	21×	0	valid
4.0ms	10×	0	invalid
3.0ms	1×	3	valid

Compiler

Compiled 444 to 60 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-div: 67.0ms (21.6% of total)

ival-mult: 63.0ms (20.3% of total)

ival-pow: 49.0ms (15.8% of total)

const: 42.0ms (13.5% of total)

adjust: 31.0ms (10% of total)

ival-log1p: 23.0ms (7.4% of total)

ival-add: 18.0ms (5.8% of total)

ival-sub: 9.0ms (2.9% of total)

ival-expm1: 8.0ms (2.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series31.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

24 → 182

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
6.0ms	i	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (* n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 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) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1)) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1))) (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1))
6.0ms	i	@	inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (* n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 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) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1)) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1))) (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1))
4.0ms	n	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (* n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 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) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1)) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1))) (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1))
4.0ms	n	@	-inf	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (* n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 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) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1)) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1))) (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1))
4.0ms	i	@	0	((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (/ (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) i) (* (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) 100) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (* n i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 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) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1)) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (pow n -1))) (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) (+ (* (+ (* (+ 1/6 (/ (- (/ 1/3 n) 1/2) n)) i) (- 1/2 (/ 1/2 n))) i) 1))

simplify290.0ms (2.6%)

Memory

-16.1MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	6194
1	2769	5745
0	8545	5250

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 180

Calls

Call 1

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

rewrite149.0ms (1.3%)

Memory

1.1MiB live, 157.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	535
0	108	527
1	430	510
2	3522	510
0	8408	486

Stop Event

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

Counts

24 → 465

Calls

Call 1

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

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

eval84.0ms (0.7%)

Memory: 2.3MiB live, 120.5MiB allocated
Compiler: Compiled 30 495 to 3 087 computations (89.9% saved)

prune40.0ms (0.4%)

Memory

-8.6MiB live, 70.4MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	629	15	644
Fresh	9	21	30
Picked	2	3	5
Done	0	2	2
Total	640	41	681

Accuracy

100.0%

Counts

681 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 100 binary64)) (/.f64 i n))
	18.1%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)))
	29.9%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) n) #s(literal 100 binary64)) i)
	10.9%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) #s(literal 100 binary64)) i)
	74.6%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) n) #s(literal 100 binary64)) i)
✓	54.7%	(/.f64 (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64)) i)
	54.7%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (.f64 n i)) (.f64 i #s(literal 1/100 binary64)))
▶	45.1%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	54.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i))))
	54.6%	(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64)))
▶	77.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	53.5%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) n))
	54.7%	(.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)))
	75.7%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	20.7%	(*.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)))
✓	29.5%	(*.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)))
	20.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
	37.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (/.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))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	37.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
▶	6.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 i n)))
	45.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
	54.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) i))
	53.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
	56.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	54.4%	(.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)))
✓	74.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	57.1%	(.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)))
	71.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
	56.9%	(.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))))
	53.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) (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 (.f64 #s(literal 100 binary64) n)))
	16.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n n) #s(literal 100 binary64)) (/.f64 i (log.f64 (/.f64 i n)))))
▶	16.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
✓	77.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	59.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	58.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
▶	56.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
	17.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (log.f64 (/.f64 i n)) i))))
	17.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64)))))
✓	53.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	59.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	58.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))

Compiler

Compiled 2 441 to 1 566 computations (35.8% saved)

simplify137.0ms (1.2%)

Memory

14.5MiB live, 105.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (log.f64 (/.f64 i n)) i)
cost-diff	0	(.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 n n))
cost-diff	0	(.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64))
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)
cost-diff	0	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i))
cost-diff	0	(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 i n))
cost-diff	0	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 i n)))
cost-diff	0	(/.f64 i n)
cost-diff	0	(*.f64 #s(literal 100 binary64) i)
cost-diff	0	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i))
cost-diff	0	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
cost-diff	0	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff	0	#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff	0	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
cost-diff	0	(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
cost-diff	0	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	463
0	89	453
1	165	453
2	300	453
3	678	453
4	1528	453
5	3643	453
0	8035	432

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (1.8%)

Memory

-9.9MiB live, 229.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 (log.f64 (/.f64 i n)) i)
accuracy	4.505724758139162	(.f64 (/.f64 (log.f64 (/.f64 i n)) i) (.f64 n n))
accuracy	9.586954523222547	(log.f64 (/.f64 i n))
accuracy	26.321525420073478	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
accuracy	3.808186206455326	(/.f64 (*.f64 i i) n)
accuracy	4.788792083927227	(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 i n))
accuracy	22.235757473304357	#s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ ( (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i))
accuracy	24.757395959196433	#s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n)))
accuracy	0.0	(/.f64 i n)
accuracy	0.0	(*.f64 #s(literal 100 binary64) i)
accuracy	4.817538841609806	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
accuracy	24.24105410524107	#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i))
accuracy	0.0	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy	0.046875	(.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)
accuracy	11.520883016550119	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
accuracy	19.52745297948376	#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy	0.06640625	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
accuracy	0.06640625	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
accuracy	4.755595784905997	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	4.8465640233646035	(log1p.f64 (/.f64 i n))

Samples

79.0ms	103×	1	valid
50.0ms	46×	2	valid
30.0ms	86×	0	invalid
9.0ms	20×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 315 to 50 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 34.0ms (24.3% of total)

ival-pow: 27.0ms (19.3% of total)

ival-div: 24.0ms (17.2% of total)

adjust: 15.0ms (10.7% of total)

const: 9.0ms (6.4% of total)

ival-add: 8.0ms (5.7% of total)

ival-log: 7.0ms (5% of total)

ival-sub: 6.0ms (4.3% of total)

ival-expm1: 5.0ms (3.6% of total)

ival-log1p: 4.0ms (2.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series140.0ms (1.2%)

Memory

19.7MiB live, 136.1MiB allocated

Counts

24 → 205

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
62.0ms	i	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (* 100 i) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (log (/ i n)) i) (* n n)) 100) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ (* i i) n) (log (/ i n)))
20.0ms	i	@	inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (* 100 i) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (log (/ i n)) i) (* n n)) 100) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ (* i i) n) (log (/ i n)))
16.0ms	i	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (* 100 i) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (log (/ i n)) i) (* n n)) 100) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ (* i i) n) (log (/ i n)))
16.0ms	n	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (* 100 i) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (log (/ i n)) i) (* n n)) 100) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ (* i i) n) (log (/ i n)))
12.0ms	n	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (* 100 i) (/ i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (log (/ i n)) i) (* n n)) 100) (* (/ (log (/ i n)) i) (* n n)) (/ (log (/ i n)) i) (log (+ 1 (/ i n))) (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (/ (* i i) n) (log (/ i n)))

simplify188.0ms (1.7%)

Memory

1.1MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	962	6656
1	3031	6127
0	8434	5632

Stop Event

1×	iter limit
1×	node limit

Counts

205 → 203

Calls

Call 1

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

rewrite143.0ms (1.3%)

Memory

7.3MiB live, 79.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	416
0	89	406
1	347	396
2	2555	386
0	8278	370

Stop Event

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

Counts

24 → 357

Calls

Call 1

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

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

eval106.0ms (0.9%)

Memory: 3.0MiB live, 89.3MiB allocated
Compiler: Compiled 23 176 to 2 903 computations (87.5% saved)

prune50.0ms (0.4%)

Memory

-12.9MiB live, 102.6MiB allocated

Pruning

47 alts after pruning (40 fresh and 7 done)

	Pruned	Kept	Total
New	609	15	624
Fresh	6	25	31
Picked	2	3	5
Done	1	4	5
Total	618	47	665

Accuracy

100.0%

Counts

665 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 100 binary64)) (/.f64 i n))
	29.9%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) n) #s(literal 100 binary64)) i)
	10.9%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) #s(literal 100 binary64)) i)
	74.6%	(/.f64 (.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) n) #s(literal 100 binary64)) i)
	54.8%	(/.f64 (.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) n) i)
	54.7%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (.f64 n i)) (.f64 i #s(literal 1/100 binary64)))
✓	45.1%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	44.0%	(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal 1 binary64) (/.f64 n i)))
	54.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i))))
	54.6%	(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) #s(literal 100 binary64)))
	29.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i) (.f64 #s(literal 100 binary64) n))
✓	77.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	53.8%	(.f64 (/.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)) i) n)
	44.1%	(.f64 (/.f64 n i) #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) i)))
	53.5%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) n))
	54.7%	(.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)))
	53.4%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
	54.5%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (.f64 #s(literal 100 binary64) n))
	56.8%	(.f64 #s(approx (/ (- (exp ( (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))
	20.7%	(*.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)))
✓	29.5%	(*.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)))
	20.5%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
	37.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (/.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))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	37.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (/ (+ (* (+ (* -1/2 i) -1/2) n) (* 1/3 i)) (* n n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	6.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (.f64 i i) n))) i)) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
	4.6%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i (/.f64 n i)))) i)) (/.f64 i n)))
	4.6%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) (.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 i n) i))) i)) (/.f64 i n)))
	45.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) i) 1) #s(literal 1 binary64)) i)) (/.f64 i n)))
	54.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (*.f64 n i)) i))
	56.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
✓	74.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	57.1%	(.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)))
	71.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n)))
	56.9%	(.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))))
	53.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (.f64 #s(literal 100 binary64) (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 (.f64 #s(literal 100 binary64) n)))
	16.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i) #s(literal 100 binary64)))
✓	77.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	17.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)) n) #s(literal 100 binary64)))
	17.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (log.f64 (/.f64 i n)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) n)))
	59.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	58.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
✓	56.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
	10.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))
	17.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (log.f64 (/.f64 i n)) i))))
✓	53.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	59.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64)))))
	58.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 n #s(literal 100 binary64)))))

Compiler

Compiled 3 992 to 1 399 computations (65% saved)

regimes77.0ms (0.7%)

Memory

-20.9MiB live, 64.8MiB allocated

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

20.0ms	i
19.0ms	n
18.0ms	(/.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
94.0%	5	`i`
93.6%	3	`n`
97.1%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
97.1%	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)

regimes32.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

14.0ms

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

14.0ms

(*.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
96.3%	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)))`
96.3%	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)

regimes31.0ms (0.3%)

Memory

-21.0MiB live, 18.2MiB allocated

Counts

71 → 3

Calls

Call 1

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

14.0ms

(*.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)))

14.0ms

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

Results

Accuracy	Segments	Branch
95.5%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
95.5%	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)

regimes61.0ms (0.5%)

Memory

31.5MiB live, 31.5MiB allocated

Counts

68 → 4

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	n
16.0ms	i
13.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
85.5%	4	`i`
87.8%	4	`n`
80.9%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.9%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes20.0ms (0.2%)

Memory

-27.8MiB live, 11.0MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.4%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

11.0ms	n
11.0ms	i
9.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
9.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
60.9%	2	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
60.9%	2	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
69.3%	3	`i`
71.2%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes12.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

10.0ms

Results

Accuracy	Segments	Branch
71.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-37.3MiB live, 6.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	i
4.0ms	n

Results

Accuracy	Segments	Branch
67.4%	3	`i`
67.1%	3	`n`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.4%	3	`i`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	n
4.0ms	i

Results

Accuracy	Segments	Branch
66.1%	3	`n`
66.3%	3	`i`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.3%	3	`i`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	n
2.0ms	i

Results

Accuracy	Segments	Branch
58.3%	1	`n`
61.2%	2	`i`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.3%	1	`n`
58.3%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
58.3%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
58.3%	1	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
53.8%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
57.4%	2	`i`
53.8%	1	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory

-36.7MiB live, 3.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	n
1.0ms	i

Results

Accuracy	Segments	Branch
53.8%	1	`n`
53.8%	1	`i`

Compiler

Compiled 2 to 4 computations (-100% 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	3.623094368041715e-197

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	3.623094368041715e-197

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	3.623094368041715e-197

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch103.0ms (0.9%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.2495170374841462e-96	7.003202182969113e-96
40.0ms	3.687769079788158e-294	4.810887139402497e-262
27.0ms	-9.732003083663518e-189	-8.349569389423285e-190

Samples

25.0ms	163×	1	valid
25.0ms	80×	2	valid
17.0ms	303×	0	invalid
5.0ms	89×	0	valid
3.0ms	4×	3	valid

Compiler

Compiled 906 to 684 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-pow: 22.0ms (39.4% of total)

ival-div: 13.0ms (23.3% of total)

adjust: 6.0ms (10.7% of total)

ival-mult: 5.0ms (8.9% of total)

ival-add: 4.0ms (7.2% of total)

ival-sub: 4.0ms (7.2% of total)

exact: 1.0ms (1.8% of total)

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

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

bsearch24.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2627605637662459e-106	2.6053496445864157e-106
1.0ms	-9.732003083663518e-189	-8.349569389423285e-190

Samples

9.0ms	57×	1	valid
6.0ms	17×	2	valid
2.0ms	30×	0	invalid
0.0ms	6×	0	valid

Compiler

Compiled 469 to 356 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 6.0ms (43.9% of total)

ival-div: 3.0ms (21.9% of total)

adjust: 2.0ms (14.6% of total)

ival-add: 1.0ms (7.3% of total)

ival-mult: 1.0ms (7.3% of total)

ival-sub: 1.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.5%)

Memory

-26.9MiB live, 12.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2627605637662459e-106	2.6053496445864157e-106
46.0ms	-3.8097705731695176e-163	-6.928075206994828e-181

Samples

17.0ms	89×	1	valid
16.0ms	46×	2	valid
4.0ms	70×	0	invalid
1.0ms	25×	0	valid

Compiler

Compiled 828 to 605 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow: 15.0ms (49.3% of total)

ival-div: 5.0ms (16.4% of total)

adjust: 4.0ms (13.2% of total)

ival-add: 2.0ms (6.6% of total)

ival-mult: 2.0ms (6.6% of total)

ival-sub: 2.0ms (6.6% 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

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2627605637662459e-106	2.6053496445864157e-106
1.0ms	-3.8097705731695176e-163	-6.928075206994828e-181

Compiler

Compiled 828 to 600 computations (27.5% saved)

bsearch104.0ms (0.9%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-2.4406786701660503e-194	-2.948421795033129e-201
39.0ms	-4.723623043938276e-30	-7.916708050250722e-39

Samples

45.0ms	106×	2	valid
37.0ms	181×	1	valid
2.0ms	33×	0	invalid
1.0ms	1×	3	valid

Compiler

Compiled 918 to 681 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-pow: 45.0ms (61.2% of total)

ival-div: 9.0ms (12.2% of total)

adjust: 8.0ms (10.9% of total)

ival-mult: 4.0ms (5.4% of total)

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

ival-sub: 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)

bsearch22.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	-2.4406786701660503e-194	-2.948421795033129e-201
19.0ms	-5.629969840744504e+30	-6.706839527520916e+23

Samples

13.0ms	61×	1	valid
1.0ms	19×	0	valid
1.0ms	23×	0	invalid

Compiler

Compiled 750 to 549 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 6.0ms (48.5% of total)

ival-div: 2.0ms (16.2% of total)

ival-add: 1.0ms (8.1% of total)

adjust: 1.0ms (8.1% of total)

ival-mult: 1.0ms (8.1% of total)

ival-sub: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	-2.4406786701660503e-194	-2.948421795033129e-201
1.0ms	-5.629969840744504e+30	-6.706839527520916e+23

Compiler

Compiled 759 to 549 computations (27.7% saved)

bsearch2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	-2.4406786701660503e-194	-2.948421795033129e-201
1.0ms	-5.629969840744504e+30	-6.706839527520916e+23

Compiler

Compiled 723 to 531 computations (26.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.4406786701660503e-194	-2.948421795033129e-201

Compiler

Compiled 513 to 366 computations (28.7% saved)

bsearch18.0ms (0.2%)

Memory

-36.0MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3445053463341465e-29	3.26179760182354e-29

Samples

11.0ms	46×	1	valid
1.0ms	2×	2	valid
1.0ms	11×	0	invalid

Compiler

Compiled 183 to 129 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 7.0ms (63.9% of total)

ival-div: 2.0ms (18.3% of total)

adjust: 1.0ms (9.1% of total)

ival-sub: 1.0ms (9.1% of total)

ival-mult: 1.0ms (9.1% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify216.0ms (1.9%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1085
1	210	1085
2	286	1085
3	432	1085
4	769	1085
5	1540	1085
6	2801	1085
7	4523	1085
8	5588	1085
9	6267	1085
10	6412	1085
11	6457	1085
12	6483	1085
13	6515	1085
14	6578	1085
15	6786	1085
16	7297	1085
17	7744	1085
18	7865	1085
19	7958	1085

Stop Event

1×	node limit

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 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 #s(literal 100 binary64) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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 -4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 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 1348269851146737/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (if (<=.f64 n #s(literal 6012269011901013/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))))
(if (<=.f64 n #s(literal -4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 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 5288447750321989/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -6118709677249157/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 5288447750321989/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) i) (.f64 #s(literal 100 binary64) n))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Outputs
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(if (<=.f64 i #s(literal -4208108721238699/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(approx ( (- (exp (* (log (+ 1 (/ i n))) n)) 1) n) (.f64 n i)) i)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
(if (<=.f64 i #s(literal 178405961588245/5575186299632655785383929568162090376495104 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(literal 100 binary64) n)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

soundness1.2s (10.6%)

Memory

24.1MiB live, 24.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	304
0	75	290
1	291	290
2	2212	280
0	8868	280
0	962	6656
1	3031	6127
0	8434	5632
0	993	7382
1	3171	6917
0	8804	6360
0	10	44
0	16	44
1	73	44
2	570	44
3	7371	44
0	8686	38
0	62	416
0	89	406
1	347	396
2	2555	386
0	8278	370
0	515	3778
1	1624	3436
2	5557	3189
0	8132	2913
0	67	535
0	108	527
1	430	510
2	3522	510
0	8408	486
0	852	6194
1	2769	5745
0	8545	5250

Stop Event

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

Compiler

Compiled 2 171 to 778 computations (64.2% saved)

preprocess176.0ms (1.6%)

Memory: -19.0MiB live, 60.2MiB allocated
Compiler: Compiled 2 316 to 380 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze408.0ms (3.6%)

sample3.6s (32.4%)

explain363.0ms (3.2%)

preprocess201.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify130.0ms (1.2%)

localize127.0ms (1.1%)

series38.0ms (0.3%)

simplify174.0ms (1.6%)

rewrite380.0ms (3.4%)

eval68.0ms (0.6%)

prune26.0ms (0.2%)

simplify161.0ms (1.4%)

localize236.0ms (2.1%)

series277.0ms (2.5%)

simplify210.0ms (1.9%)

rewrite177.0ms (1.6%)

eval98.0ms (0.9%)

prune43.0ms (0.4%)

simplify188.0ms (1.7%)

localize470.0ms (4.2%)

series31.0ms (0.3%)

simplify290.0ms (2.6%)

rewrite149.0ms (1.3%)

eval84.0ms (0.7%)

prune40.0ms (0.4%)

simplify137.0ms (1.2%)

localize205.0ms (1.8%)

series140.0ms (1.2%)

simplify188.0ms (1.7%)

rewrite143.0ms (1.3%)

eval106.0ms (0.9%)

prune50.0ms (0.4%)

regimes77.0ms (0.7%)

regimes32.0ms (0.3%)

regimes31.0ms (0.3%)

regimes61.0ms (0.5%)

regimes20.0ms (0.2%)

regimes41.0ms (0.4%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch103.0ms (0.9%)

bsearch24.0ms (0.2%)

bsearch51.0ms (0.5%)

bsearch3.0ms (0%)

bsearch104.0ms (0.9%)

bsearch22.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

simplify216.0ms (1.9%)

soundness1.2s (10.6%)

preprocess176.0ms (1.6%)

end0.0ms (0%)

Profiling