Metrics for Compound Interest

analyze235.0ms (1.1%)

Memory

-9.3MiB live, 375.4MiB 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)

sample10.4s (49.1%)

Memory

-73.7MiB live, 3 869.5MiB allocated

Samples

5.2s	1 998×	0	invalid
2.5s	4 554×	1	valid
1.8s	1 554×	2	valid
246.0ms	2 103×	0	valid
37.0ms	45×	3	valid
3.0ms	25×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-pow: 2.4s (58.1% of total)

ival-add: 480.0ms (11.5% of total)

ival-div: 433.0ms (10.3% of total)

adjust: 359.0ms (8.6% of total)

ival-sub: 235.0ms (5.6% of total)

ival-mult: 227.0ms (5.4% of total)

exact: 10.0ms (0.2% of total)

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

ival-assert: 5.0ms (0.1% of total)

Bogosity

preprocess205.0ms (1%)

Memory

8.3MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 792×	`lower-fma.f64`
1 792×	`lower-fma.f32`
1 490×	`div-sub`
1 136×	`lower-*.f32`
1 134×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain337.0ms (1.6%)

Memory

6.1MiB live, 671.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
186	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
60	99	(-2.6535976835406708e-191 2.932434316633984e+229)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
51	0	-	2	(-1.1029542949385108e-246 1.6680664761367805e+77)	`(/.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	1	(1.251324775497576e+275 5.406547023215446e-27)	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	186	1
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	134	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	49	0
↳	`(/.f64 i n)`	underflow	49
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	25	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	31
↳	`(/.f64 i n)`	overflow	25
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	25
`*.f64`	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	183	0
-	31	42

Precision

0.8551401869158879

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	0	0
-	31	1	41

Precision?

0.8511627906976744

Recall?

1.0

Freqs

test

number	freq
0	42
1	82
2	83
3	49

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms	290×	1	valid
52.0ms	122×	2	valid
17.0ms	98×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-pow: 92.0ms (64.8% of total)

ival-div: 15.0ms (10.6% of total)

adjust: 12.0ms (8.4% of total)

ival-sub: 9.0ms (6.3% of total)

ival-mult: 8.0ms (5.6% of total)

ival-add: 5.0ms (3.5% of total)

exact: 1.0ms (0.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(*.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 17 to 10 computations (41.2% saved)

simplify174.0ms (0.8%)

Memory

-10.2MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 792×	`lower-fma.f64`
1 792×	`lower-fma.f32`
1 136×	`lower-*.f32`
1 134×	`lower-*.f64`
654×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (0.7%)

Memory

4.7MiB live, 257.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.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	81.5%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓	accuracy	78.8%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	33.8%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

77.0ms	145×	1	valid
40.0ms	61×	2	valid
7.0ms	49×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

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

ival-pow: 53.0ms (69.3% of total)

ival-div: 8.0ms (10.5% of total)

adjust: 7.0ms (9.1% of total)

ival-add: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-mult: 3.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.2%)

Memory

0.5MiB live, 40.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 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)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (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))))>
#<alt (* (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))))))))>
#<alt (* (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)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* 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))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (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)))>
#<alt (+ (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))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 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))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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)))>
#<alt (+ (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

24 calls:

Time	Variable		Point	Expression
32.0ms	i	@	0	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
3.0ms	n	@	0	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms	i	@	-inf	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms	i	@	inf	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms	n	@	inf	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

simplify652.0ms (3.1%)

Memory

-26.0MiB live, 846.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 188×	`lower-fma.f64`
11 188×	`lower-fma.f32`
6 726×	`lower-*.f64`
6 726×	`lower-*.f32`
3 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3831
1	1624	3489
2	5523	3268
0	8137	2980

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite295.0ms (1.4%)

Memory

25.0MiB live, 675.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 646×	`lower-fma.f64`
4 646×	`lower-fma.f32`
3 878×	`lower-*.f32`
3 876×	`lower-*.f64`
3 404×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 498

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (.f64 (/.f64 n i) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(+.f64 (.f64 (/.f64 n i) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
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(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 i (/.f64 i (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))))

eval118.0ms (0.6%)

Memory: -8.9MiB live, 224.3MiB allocated
Compiler: Compiled 18 586 to 2 040 computations (89% saved)

prune108.0ms (0.5%)

Memory

11.0MiB live, 250.4MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	559	33	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	33	593

Accuracy

100.0%

Counts

593 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	31.1%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	31.1%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
	31.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)))
	30.7%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	31.1%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
▶	26.6%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
	26.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
	31.1%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))))
	24.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 i n) n)))
	12.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
▶	24.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	24.9%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 i (neg.f64 n)) (/.f64 #s(literal 1 binary64) i))) (.f64 (/.f64 i (neg.f64 n)) (/.f64 #s(literal 1 binary64) n))))
	12.2%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	11.6%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	17.7%	(*.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)))
	24.5%	(.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (+.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))))
	71.0%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	40.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
	40.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
	12.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
	9.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
	60.5%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	30.7%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
	56.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
	58.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
▶	77.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	8.9%	(.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))))
	58.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) (.f64 n #s(literal 100 binary64))))
▶	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	8.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
	70.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
▶	52.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))

Compiler

Compiled 1 448 to 868 computations (40.1% saved)

simplify317.0ms (1.5%)

Memory

-15.0MiB live, 467.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
✓	cost-diff	704	(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	1024	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓	cost-diff	1728	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	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) i)
✓	cost-diff	128	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
✓	cost-diff	704	(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
✓	cost-diff	0	(*.f64 n (expm1.f64 i))
✓	cost-diff	0	(.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
✓	cost-diff	0	(*.f64 n #s(literal 100 binary64))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
✓	cost-diff	0	(*.f64 n (expm1.f64 i))
✓	cost-diff	0	(/.f64 (*.f64 n (expm1.f64 i)) i)
✓	cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
✓	cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))

Rules

9 190×	`lower-fma.f32`
9 188×	`lower-fma.f64`
4 276×	`lower-*.f32`
4 262×	`lower-*.f64`
2 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	330
0	62	298
1	127	288
2	295	286
3	792	286
4	2374	286
5	4400	286
6	7170	286
0	8193	282

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (1%)

Memory

-5.3MiB live, 303.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
✓	accuracy	78.8%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	71.6%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	accuracy	34.0%	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓	accuracy	100.0%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
✓	accuracy	99.9%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
✓	accuracy	78.8%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	43.1%	(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))
✓	accuracy	100.0%	(*.f64 n (expm1.f64 i))
✓	accuracy	99.7%	(.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓	accuracy	94.0%	(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓	accuracy	78.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
✓	accuracy	100.0%	(*.f64 n #s(literal 100 binary64))
✓	accuracy	52.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
✓	accuracy	100.0%	(*.f64 n (expm1.f64 i))
✓	accuracy	99.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
✓	accuracy	94.1%	(/.f64 (*.f64 n (expm1.f64 i)) i)
✓	accuracy	79.0%	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))

Samples

104.0ms	169×	1	valid
31.0ms	36×	2	valid
12.0ms	49×	0	valid
5.0ms	2×	5	exit

Compiler

Compiled 321 to 32 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-pow: 44.0ms (37.7% of total)

ival-div: 29.0ms (24.8% of total)

ival-mult: 21.0ms (18% of total)

adjust: 10.0ms (8.6% of total)

ival-sub: 5.0ms (4.3% of total)

ival-add: 4.0ms (3.4% of total)

ival-expm1: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory

17.4MiB live, 52.3MiB allocated

Counts

17 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	n	@	-inf	(* n (- (exp i) 1))
1.0ms	i	@	-inf	(/ (* n (- (exp i) 1)) i)
1.0ms	i	@	0	(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
1.0ms	i	@	-inf	(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
1.0ms	n	@	inf	(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))

simplify409.0ms (1.9%)

Memory

24.1MiB live, 562.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 174×	`lower-fma.f64`
11 174×	`lower-fma.f32`
6 770×	`lower-*.f64`
6 770×	`lower-*.f32`
5 534×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	12269
1	2638	11252
0	8311	10357

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

rewrite673.0ms (3.2%)

Memory

-8.3MiB live, 421.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`lower-/.f32`
5 366×	`lower-/.f64`
3 290×	`lower-fma.f32`
3 288×	`lower-fma.f64`
2 668×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	228
0	60	202
1	242	198
2	2180	198
0	8154	182

Stop Event

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

Counts

17 → 786

Calls

Call 1

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

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

eval165.0ms (0.8%)

Memory: 8.9MiB live, 228.3MiB allocated
Compiler: Compiled 43 706 to 3 570 computations (91.8% saved)

prune190.0ms (0.9%)

Memory

-9.5MiB live, 285.6MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 301	29	1 330
Fresh	14	14	28
Picked	2	3	5
Done	0	0	0
Total	1 317	46	1 363

Accuracy

100.0%

Counts

1 363 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 #s(literal 100 binary64) n) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
	25.9%	(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
	26.8%	(fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
	31.1%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	31.1%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
	31.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)))
	30.7%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	31.1%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
▶	5.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
	13.8%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	26.8%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
	14.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
	18.5%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (.f64 i (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (.f64 i i)))
	26.3%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	12.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
	25.0%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	22.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 #s(literal -1 binary64) (.f64 i n))) (/.f64 #s(literal -1 binary64) (.f64 n n))))
	16.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	24.5%	(.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (+.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))))
	71.0%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	9.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
	49.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
▶	14.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))))
	30.7%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
▶	22.9%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
	56.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
✓	77.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) i)))
	61.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))
	8.9%	(.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))))
	16.2%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 n i))))
	13.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i))))
	57.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))
	8.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (.f64 (.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
✓	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	8.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
	54.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
	58.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
	59.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 n (/.f64 #s(literal 100 binary64) i))))
▶	78.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
✓	52.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	62.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))
	60.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
	57.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
	58.4%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (.f64 n i) n) #s(literal 0 binary64)) i))
▶	18.0%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))

Compiler

Compiled 1 662 to 1 000 computations (39.8% saved)

simplify173.0ms (0.8%)

Memory

-0.5MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))))
✓	cost-diff	512	(/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))
✓	cost-diff	1024	(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)
✓	cost-diff	1344	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)))
✓	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	0	(.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 i n)) n) n)
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
✓	cost-diff	640	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n)
✓	cost-diff	0	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i)
✓	cost-diff	128	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
✓	cost-diff	704	(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i))
✓	cost-diff	0	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
✓	cost-diff	704	(/.f64 #s(literal 0 binary64) i)
✓	cost-diff	0	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
✓	cost-diff	0	(.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))

Rules

4 802×	`lower-fma.f32`
4 798×	`lower-fma.f64`
4 118×	`lower-*.f32`
4 100×	`lower-*.f64`
1 548×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	372
0	81	346
1	161	345
2	386	333
3	1187	319
4	4924	318
0	8237	313

Stop Event

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

Calls

Call 1

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

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

localize261.0ms (1.2%)

Memory

-2.1MiB live, 363.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)))
✓	accuracy	84.1%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	59.8%	(/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))
✓	accuracy	35.2%	(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)
✓	accuracy	93.8%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n)
✓	accuracy	93.4%	(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 i n))
✓	accuracy	84.1%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	35.3%	(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i)
✓	accuracy	99.9%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
✓	accuracy	69.0%	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
✓	accuracy	43.9%	(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) i)
✓	accuracy	30.3%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
✓	accuracy	100.0%	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
✓	accuracy	99.9%	(.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
✓	accuracy	99.8%	(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
✓	accuracy	79.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))

Samples

111.0ms	150×	1	valid
47.0ms	42×	2	valid
10.0ms	32×	0	valid
7.0ms	13×	1	exit
6.0ms	2×	5	exit
5.0ms	17×	0	exit

Compiler

Compiled 359 to 40 computations (88.9% saved)

Precisions

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

ival-pow: 50.0ms (33.8% of total)

ival-mult: 34.0ms (23% of total)

ival-div: 31.0ms (21% of total)

adjust: 13.0ms (8.8% of total)

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

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series53.0ms (0.3%)

Memory

-14.0MiB live, 92.7MiB allocated

Counts

20 → 444

Calls

Call 1

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

Outputs
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (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))))>
#<alt (* (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))))))))>
#<alt (* (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)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 i)>
#<alt (* i (+ 100 (* 50 i)))>
#<alt (* i (+ 100 (* i (+ 50 (* 50/3 i)))))>
#<alt (* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)>
#<alt (/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)>
#<alt (/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)>
#<alt (* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))>
#<alt (/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
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#<alt (/ (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (* (pow n 3) (pow (+ i (* -1 (* i (exp i)))) 2)))) (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* (pow n 2) (pow (+ i (* -1 (* i (exp i)))) 2)))) (+ (* -1 (/ (pow i 2) (+ i (* -1 (* i (exp i)))))) (+ (* -1/2 (/ (* (pow i 3) (* (exp i) (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (+ i (* -1 (* i (exp i)))) 2))) (* -1/4 (/ (* (pow i 8) (pow (exp i) 2)) (pow (+ i (* -1 (* i (exp i)))) 3)))))) (* (pow n 3) (+ i (* -1 (* i (exp i))))))) (+ (* -1/4 (/ (* (pow i 8) (pow (exp i) 2)) (* (pow n 2) (pow (+ i (* -1 (* i (exp i)))) 3)))) (+ (* 1/2 (/ (* (pow i 5) (exp i)) (* n (pow (+ i (* -1 (* i (exp i)))) 2)))) (* 1/2 (/ (* (pow i 6) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* (pow n 3) (pow (+ i (* -1 (* i (exp i)))) 3)))))))))) n)>
#<alt (* -1 (/ (pow i 2) (* n (+ i (* -1 (* i (exp i)))))))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow i 5) (exp i)) (* n (pow (+ i (* -1 (* i (exp i)))) 2)))) (/ (pow i 2) (+ i (* -1 (* i (exp i)))))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* n (pow (+ i (* -1 (* i (exp i)))) 2)))) (* -1/4 (/ (* (pow i 8) (pow (exp i) 2)) (* n (pow (+ i (* -1 (* i (exp i)))) 3))))) (* -1/2 (/ (* (pow i 5) (exp i)) (pow (+ i (* -1 (* i (exp i)))) 2)))) n)) (/ (pow i 2) (+ i (* -1 (* i (exp i)))))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (* n (pow (+ i (* -1 (* i (exp i)))) 2)))) (+ (* -1/2 (/ (* (pow i 6) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* n (pow (+ i (* -1 (* i (exp i)))) 3)))) (* 1/2 (/ (* (pow i 3) (* (exp i) (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (+ i (* -1 (* i (exp i)))) 2))) (* -1/4 (/ (* (pow i 8) (pow (exp i) 2)) (pow (+ i (* -1 (* i (exp i)))) 3)))))) (* n (+ i (* -1 (* i (exp i))))))))) (+ (* -1 (/ (* (pow i 3) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (+ i (* -1 (* i (exp i)))) 2))) (* -1/4 (/ (* (pow i 8) (pow (exp i) 2)) (pow (+ i (* -1 (* i (exp i)))) 3))))) n)) (* -1/2 (/ (* (pow i 5) (exp i)) (pow (+ i (* -1 (* i (exp i)))) 2)))) n)) (/ (pow i 2) (+ i (* -1 (* i (exp i)))))) n))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* -100 (/ (* n (+ 1 (* -1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i))>
#<alt (/ (+ (* -100 (* n (+ 1 (* -1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* -100 (* n (+ 1 (* -1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* -100 (* n (+ 1 (* -1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -100 (/ (* n (+ i (* -1 i))) (pow i 2)))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 i)) (pow i 2))) (* 100 (/ (* n (+ (log i) (* -1 (log n)))) i))))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 i)) (pow i 2))) (* n (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 i)) (pow i 2))) (* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i))))))))>
#<alt (* -100 (/ (* n (+ i (* -1 (* i (exp i))))) (pow i 2)))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))) (* -50 (/ (* i (exp i)) n))))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))>
#<alt (* n (+ (* -100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))) (+ (* -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))))))))>
#<alt (* -100 (/ (* n (+ i (* -1 (* i (exp i))))) (pow i 2)))>
#<alt (* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ (+ i (* -1 (* i (exp i)))) (pow i 2))))))>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* 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))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (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)))>
#<alt (+ (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))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 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))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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)))>
#<alt (+ (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

111 calls:

Time	Variable		Point	Expression
6.0ms	i	@	inf	(/ 1 (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)))
5.0ms	n	@	inf	(/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i))
4.0ms	i	@	inf	(* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n)
2.0ms	i	@	-inf	(/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n))
2.0ms	i	@	-inf	(/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i))

simplify477.0ms (2.3%)

Memory

25.5MiB live, 637.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 714×	`lower-fma.f64`
9 714×	`lower-fma.f32`
5 954×	`lower-+.f64`
5 954×	`lower-+.f32`
5 402×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1268	17719
1	4246	16029
0	8440	14902

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

rewrite395.0ms (1.9%)

Memory

-19.1MiB live, 450.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 758×	`lower-/.f32`
5 744×	`lower-/.f64`
4 558×	`lower-fma.f32`
4 554×	`lower-fma.f64`
3 322×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	298
0	81	283
1	310	260
2	2313	256
0	8933	236

Stop Event

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

Counts

20 → 788

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(/.f64 #s(literal 0 binary64) i)
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
(/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i)
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n)
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 i n)) n) n)
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)))
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i)
(/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))))
(+.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
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i))) i))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))) (/.f64 (neg.f64 n) (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i))) (.f64 n #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (.f64 n (.f64 (expm1.f64 i) #s(literal -100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (.f64 (.f64 (expm1.f64 i) #s(literal -100 binary64)) n)))
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(/.f64 (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(/.f64 (neg.f64 (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i)))) (neg.f64 i))
(/.f64 (.f64 n #s(literal 1 binary64)) (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.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) (neg.f64 i))
(/.f64 (neg.f64 (.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 n (.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 (.f64 (expm1.f64 i) #s(literal -100 binary64)) n)) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (.f64 n (.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64))
(.f64 #s(literal 100 binary64) (.f64 (/.f64 (expm1.f64 i) i) n))
(.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n)
(.f64 (.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(.f64 (expm1.f64 i) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))
(.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 (expm1.f64 i) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (expm1.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))))
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (.f64 #s(literal 100 binary64) (exp.f64 i)) (.f64 #s(literal 100 binary64) (exp.f64 i)) (-.f64 #s(literal 10000 binary64) (.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (.f64 (exp.f64 i) #s(literal 100 binary64)) (.f64 (exp.f64 i) #s(literal 100 binary64)) (-.f64 #s(literal 10000 binary64) (.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64)))))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
#s(literal 0 binary64)
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(literal 0 binary64))
(+.f64 (neg.f64 (/.f64 n i)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 n i)))
(+.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 n i)) (neg.f64 (/.f64 n i)))
(-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 n i)) (/.f64 n i))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)))) (.f64 i i)) (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (neg.f64 n)) i)) (/.f64 (/.f64 (.f64 n n) (.f64 i i)) (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (neg.f64 n)) i)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)) (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(/.f64 (neg.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)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(.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))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))

eval231.0ms (1.1%)

Memory: -3.0MiB live, 232.9MiB allocated
Compiler: Compiled 45 368 to 4 651 computations (89.7% saved)

prune368.0ms (1.7%)

Memory

15.4MiB live, 326.8MiB allocated

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1 259	24	1 283
Fresh	18	20	38
Picked	2	3	5
Done	0	3	3
Total	1 279	50	1 329

Accuracy

100.0%

Counts

1 329 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 n #s(literal 100 binary64)) (neg.f64 (.f64 (/.f64 n i) #s(literal 100 binary64))))
	25.9%	(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
	31.1%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	31.1%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
	30.7%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	31.1%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
▶	12.8%	(.f64 (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i) #s(literal 100 binary64))
✓	5.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
	13.8%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	9.7%	(.f64 #s(literal 100 binary64) (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 n i))))
	14.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
	12.7%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (neg.f64 n) (.f64 i (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))))) (.f64 i i)))
	12.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
	16.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	24.5%	(.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (+.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))))
▶	71.0%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	49.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	14.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 i) n)) n i))))
▶	68.6%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))))
	52.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) n))))
	30.7%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
	30.7%	(.f64 #s(literal 100 binary64) (.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) n) (/.f64 (/.f64 n i) n)) n))
✓	22.9%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
	6.4%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 i n)) n) n))
	56.3%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i n)) n) n))
	22.8%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n)) (/.f64 #s(literal 1 binary64) (*.f64 i n))) n) n))
▶	24.1%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (.f64 i n))) n) n))
	9.1%	(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) n) n))
	52.8%	(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 #s(literal 1 binary64) n)) n) n))
	56.7%	(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) n))
	16.2%	(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i)) n))
	13.6%	(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) n))
✓	77.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	54.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) i)))
	61.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))
	57.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))
	8.9%	(.f64 #s(literal 100 binary64) #s(approx ( (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) n) (.f64 (.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
✓	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	8.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
	54.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
✓	78.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
	62.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 #s(approx ( 100 (- (exp i) 1)) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) i)))
	62.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
	60.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
	57.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
✓	52.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	62.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))
	60.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
	8.4%	#s(approx (* 100 (/ 1 (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)))) (.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 #s(literal 0 binary64) (*.f64 i i)))))
▶	18.0%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 1 696 to 1 025 computations (39.6% saved)

simplify281.0ms (1.3%)

Memory

14.5MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (*.f64 i n))) n) n)
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (.f64 i n))) n) n))
✓	cost-diff	384	(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)
✓	cost-diff	1664	(.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (.f64 i n))) n)
✓	cost-diff	0	#s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n))
✓	cost-diff	320	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))))
✓	cost-diff	0	(*.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)))
✓	cost-diff	0	(-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i)
✓	cost-diff	128	(.f64 (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i) #s(literal 100 binary64))
✓	cost-diff	0	#s(approx (/ 0 i) #s(literal 0 binary64))
✓	cost-diff	0	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
✓	cost-diff	0	(*.f64 n (log1p.f64 (/.f64 i n)))
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓	cost-diff	384	(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓	cost-diff	6272	(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))

Rules

6 842×	`lower-fma.f32`
6 840×	`lower-fma.f64`
3 146×	`lower-*.f32`
3 130×	`lower-*.f64`
1 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	442
0	88	416
1	173	412
2	392	403
3	952	403
4	2076	386
5	5386	372
0	8081	371

Stop Event

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

Calls

Call 1

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

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

localize355.0ms (1.7%)

Memory

9.7MiB live, 443.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 i n))
✓	accuracy	96.6%	(.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (.f64 i n))) n)
✓	accuracy	84.1%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	34.7%	(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (*.f64 i n)))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n))))
✓	accuracy	96.9%	(fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	85.6%	#s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.9%	(.f64 (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i) #s(literal 100 binary64))
✓	accuracy	95.2%	(/.f64 (-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i)
✓	accuracy	74.4%	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
✓	accuracy	49.7%	(-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n)
✓	accuracy	100.0%	#s(approx (/ 0 i) #s(literal 0 binary64))
✓	accuracy	35.6%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓	accuracy	90.5%	(log1p.f64 (/.f64 i n))
✓	accuracy	81.9%	(*.f64 n (log1p.f64 (/.f64 i n)))
✓	accuracy	81.9%	(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))

Samples

119.0ms	138×	1	valid
68.0ms	54×	2	valid
9.0ms	13×	1	exit
8.0ms	2×	5	exit
7.0ms	18×	0	valid
5.0ms	16×	0	invalid
5.0ms	15×	0	exit

Compiler

Compiled 391 to 48 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-pow: 51.0ms (28.3% of total)

ival-div: 46.0ms (25.5% of total)

ival-mult: 37.0ms (20.5% of total)

adjust: 18.0ms (10% of total)

ival-add: 10.0ms (5.5% of total)

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

ival-expm1: 5.0ms (2.8% of total)

ival-log1p: 4.0ms (2.2% of total)

ival-neg: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series39.0ms (0.2%)

Memory

-25.5MiB live, 51.1MiB allocated

Counts

24 → 552

Calls

Call 1

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

Outputs
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* 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))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (- (+ (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)>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 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)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (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))))>
#<alt (* (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))))))))>
#<alt (* (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)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))>
#<alt (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))>
#<alt i>
#<alt (* i (+ 1 (* -1/2 (/ i n))))>
#<alt (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))>
#<alt (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))>
#<alt (+ (* -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))))>
#<alt (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))>
#<alt (+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (* -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))))))>
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#<alt (+ (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))))>
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#<alt (+ (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)))>
#<alt 1>
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#<alt (exp i)>
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#<alt (exp i)>
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#<alt (* -1 (/ (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))) n))>
#<alt 1>
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#<alt (+ (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))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
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#<alt (+ (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)))>
#<alt 1>
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#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 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))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	(* n (pow (+ 1 (/ i n)) n))
1.0ms	i	@	-inf	(+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n))
1.0ms	i	@	0	(+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n))
1.0ms	n	@	0	(* (- (/ (/ (pow (+ 1 (/ i n)) n) i) n) (/ 1 (* i n))) n)
1.0ms	n	@	0	(/ (- 1/2 (/ 1/2 n)) (neg n))

simplify424.0ms (2%)

Memory

22.4MiB live, 670.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 248×	`lower-fma.f64`
7 248×	`lower-fma.f32`
5 938×	`lower-*.f64`
5 938×	`lower-*.f32`
4 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1546	20995
1	5016	19128
0	8582	18012

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 542

Calls

Call 1

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

rewrite315.0ms (1.5%)

Memory

-23.9MiB live, 500.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 808×	`lower-/.f32`
4 788×	`lower-/.f64`
3 186×	`lower-*.f32`
3 168×	`lower-*.f64`
2 554×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	386
0	88	380
1	363	310
2	2991	310
0	8201	310

Stop Event

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

Counts

24 → 748

Calls

Call 1

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

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

eval176.0ms (0.8%)

Memory: 33.3MiB live, 290.3MiB allocated
Compiler: Compiled 45 183 to 5 121 computations (88.7% saved)

prune245.0ms (1.2%)

Memory

13.4MiB live, 445.1MiB allocated

Pruning

61 alts after pruning (54 fresh and 7 done)

	Pruned	Kept	Total
New	1 264	26	1 290
Fresh	11	28	39
Picked	3	2	5
Done	1	5	6
Total	1 279	61	1 340

Accuracy

100.0%

Counts

1 340 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
	25.9%	(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
	31.1%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	31.1%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
	68.5%	(/.f64 #s(literal 100 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))))
	68.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64)))
	30.7%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	12.7%	(*.f64 (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (neg.f64 n)) (/.f64 #s(literal 100 binary64) i))
	31.1%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
	6.3%	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n n))) (.f64 (neg.f64 n) (.f64 n n))) (fma.f64 n (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) n) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n n))))) i) #s(literal 100 binary64))
	12.8%	(.f64 (/.f64 (-.f64 #s(approx ( n (pow (+ 1 (/ i n)) n)) (fma.f64 n i n)) n) i) #s(literal 100 binary64))
	13.0%	(.f64 (/.f64 #s(approx (- ( n (pow (+ 1 (/ i n)) n)) n) (.f64 n (expm1.f64 (.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) i) #s(literal 100 binary64))
	54.9%	(.f64 (/.f64 #s(approx (- ( n (pow (+ 1 (/ i n)) n)) n) (*.f64 n i)) i) #s(literal 100 binary64))
	13.8%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
	14.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
	12.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
	16.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓	71.0%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	14.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 i) n)) n i))))
	53.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)))))
	55.5%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) n)))))
	64.4%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 n)) (.f64 n n)) (/.f64 (.f64 (neg.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
	66.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
	64.3%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))))
	32.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) n) (/.f64 (-.f64 (.f64 (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) (*.f64 n n)))))))
	52.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) n))))
	70.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (+.f64 (/.f64 (*.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 #s(literal 1 binary64) n)))))
	32.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (.f64 (/.f64 (-.f64 (.f64 (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) (.f64 n n)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) n))))))
	49.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 i #s(literal 1/2 binary64))) (.f64 n n))))))
	64.3%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n)))))
	70.2%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))))))
	21.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 n n))))))
	21.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (*.f64 i (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 n)))))))
	30.7%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
	22.8%	(.f64 #s(literal 100 binary64) (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i)) n) (.f64 (/.f64 #s(literal -1 binary64) (.f64 n i)) n)) n))
	10.7%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (-.f64 n (.f64 (.f64 n (.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) i))) (.f64 (.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))) n)) n) n))
✓	22.9%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
	56.3%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i n)) n) n))
	22.8%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 n i))) n) n))
	22.8%	(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) (.f64 i n))) n) n))
	9.1%	(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) n) n))
	52.8%	(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 #s(literal 1 binary64) n)) n) n))
	56.7%	(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) n))
	16.2%	(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i)) n))
✓	77.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	61.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))
	57.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))
	8.9%	(.f64 #s(literal 100 binary64) #s(approx ( (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) n) (.f64 (.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
✓	76.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	8.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
	54.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
✓	78.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
	62.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 #s(approx ( 100 (- (exp i) 1)) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) i)))
	62.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
	60.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
	57.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
✓	52.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	62.5%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))
	60.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
	8.4%	#s(approx (* 100 (/ 1 (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)))) (.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 #s(literal 0 binary64) (*.f64 i i)))))
✓	18.0%	#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Compiler

Compiled 3 323 to 1 223 computations (63.2% saved)

regimes290.0ms (1.4%)

Memory

-32.7MiB live, 194.7MiB allocated

Counts

113 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) i)))
(.f64 (/.f64 #s(approx (- ( n (pow (+ 1 (/ i n)) n)) n) (*.f64 n i)) i) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(.f64 (/.f64 (-.f64 #s(approx ( n (pow (+ 1 (/ i n)) n)) (fma.f64 n i n)) n) i) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 #s(literal 1 binary64) n)) n) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) n))))
(.f64 (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i) #s(literal 100 binary64))
(*.f64 (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (neg.f64 n)) (/.f64 #s(literal 100 binary64) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 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))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n)))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 i n)) n) n))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 n n))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 #s(approx ( 100 (- (exp i) 1)) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (neg.f64 n) (.f64 i (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))))) (.f64 i i)))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 n i))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (.f64 n i) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (*.f64 i (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 n)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 i #s(literal 1/2 binary64))) (.f64 n n))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (+.f64 (/.f64 (*.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 n)) (.f64 n n)) (/.f64 (.f64 (neg.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n n))) (.f64 (neg.f64 n) (.f64 n n))) (fma.f64 n (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) n) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n 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) (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (expm1.f64 i) (.f64 n (/.f64 #s(literal 100 binary64) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (.f64 (/.f64 (-.f64 (.f64 (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) (.f64 n n)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) n) (/.f64 (-.f64 (.f64 (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) (*.f64 n n)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) (.f64 n #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 i n)) n) n))
(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (.f64 i (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (.f64 i i)))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))))
(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 #s(literal 100 binary64) n) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 n #s(literal 100 binary64)) (neg.f64 (.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 n #s(literal 100 binary64)) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n)) (/.f64 #s(literal 1 binary64) (*.f64 i n))) n) n))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 n i))) n) n))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) (.f64 i n))) n) n))
(.f64 #s(literal 100 binary64) (.f64 (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i)) n) (.f64 (/.f64 #s(literal -1 binary64) (.f64 n i)) n)) n))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (/.f64 #s(literal 1 binary64) (.f64 i n))) n) n))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n)))))
(.f64 #s(literal 100 binary64) (.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) n) (/.f64 (/.f64 n i) n)) n))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (neg.f64 (/.f64 i n)) i))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (neg.f64 (/.f64 i n))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 i) n)) n i))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 #s(literal -1 binary64) (.f64 i n))) (/.f64 #s(literal -1 binary64) (.f64 n n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 i n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 i (neg.f64 n)) (/.f64 #s(literal 1 binary64) i))) (.f64 (/.f64 i (neg.f64 n)) (/.f64 #s(literal 1 binary64) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
(.f64 #s(literal 100 binary64) #s(approx ( (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) n) (.f64 (.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) n) n))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (.f64 (.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
#s(approx (* 100 (/ 1 (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)))) (.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 #s(literal 0 binary64) (*.f64 i i)))))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i n)) n) n))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (-.f64 n (.f64 (.f64 n (.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) i))) (.f64 (.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))) n)) n) n))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 n i))))
(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) n))
(.f64 (/.f64 #s(approx (- ( n (pow (+ 1 (/ i n)) n)) n) (.f64 n (expm1.f64 (.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) i) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 n i))))
(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i)) n))
(.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (+.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))

Outputs

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

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

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

Calls

4 calls:

198.0ms	n
32.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
28.0ms	i
26.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
92.6%	4	`i`
90.1%	3	`n`
98.6%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
98.6%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes103.0ms (0.5%)

Memory

-7.5MiB live, 109.7MiB allocated

Counts

102 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

27.0ms	i
26.0ms	n
23.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
88.3%	3	`n`
88.6%	4	`i`
88.3%	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)))`
88.3%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes31.0ms (0.1%)

Memory

-9.1MiB live, 29.8MiB allocated

Counts

101 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
88.3%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
88.3%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes54.0ms (0.3%)

Memory

5.9MiB live, 50.8MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) i)))
(.f64 (/.f64 #s(approx (- ( n (pow (+ 1 (/ i n)) n)) n) (*.f64 n i)) i) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(.f64 (/.f64 (-.f64 #s(approx ( n (pow (+ 1 (/ i n)) n)) (fma.f64 n i n)) n) i) #s(literal 100 binary64))
(.f64 #s(literal 100 binary64) (.f64 (.f64 #s(approx (/ (+ (pow (+ 1 (/ i n)) n) -1) ( i n)) (/.f64 #s(literal 1 binary64) n)) n) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (/.f64 #s(literal 1 binary64) n))))
(.f64 (/.f64 (-.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) n) i) #s(literal 100 binary64))
(*.f64 (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (neg.f64 n)) (/.f64 #s(literal 100 binary64) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(.f64 #s(literal 100 binary64) (.f64 #s(approx (* (/ (+ (pow (+ 1 (/ i n)) n) -1) (* i n)) n) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 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))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n)))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) n (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (.f64 (.f64 (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 i n)) n) n))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 n n))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) n (/.f64 (neg.f64 n) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 #s(approx ( 100 (- (exp i) 1)) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) i)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (neg.f64 n) (.f64 i (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))))) (.f64 i i)))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 n i))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) (/.f64 (fma.f64 (.f64 i #s(literal 100 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (.f64 n i) n) #s(literal 0 binary64)) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (*.f64 i (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 n)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 i #s(literal 1/2 binary64))) (.f64 n n))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i #s(approx (/ (- 1/2 (/ 1/2 n)) (neg n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (+.f64 (/.f64 (*.f64 i (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1 binary64) n))) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 n)) (.f64 n n)) (/.f64 (.f64 (neg.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n n))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) (fma.f64 i (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) n)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n n))) (.f64 (neg.f64 n) (.f64 n n))) (fma.f64 n (fma.f64 n #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) n) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (.f64 n n))))) i) #s(literal 100 binary64))

Outputs

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

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

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

Calls

4 calls:

13.0ms	i
13.0ms	n
13.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
11.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
74.7%	2	`i`
74.9%	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)))`
74.9%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
80.1%	3	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes12.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes61.0ms (0.3%)

Memory

-19.4MiB live, 19.3MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	n
9.0ms	i
8.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
8.0ms	(*.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
69.0%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
69.0%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
70.7%	2	`i`
76.2%	4	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes11.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

33 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
75.5%	4	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.5%	4	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory

-28.7MiB live, 10.1MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.7%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
72.7%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
72.7%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	i
4.0ms	n

Results

Accuracy	Segments	Branch
67.9%	2	`i`
71.0%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.0%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-24.3MiB live, 14.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	n
3.0ms	i
2.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
57.1%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
57.1%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
64.2%	2	`i`
67.2%	3	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.2%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	i
2.0ms	n

Results

Accuracy	Segments	Branch
63.9%	3	`i`
62.7%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

8.3MiB live, 8.3MiB 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) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.0%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
18.0%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
18.0%	1	`n`
18.0%	1	`i`

Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.3067794759818118e-236	4.1129527262910936e-209

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch82.0ms (0.4%)

Memory

-6.9MiB live, 74.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	3.9067903966902345e-8	1.1582466533222877e-6
46.0ms	-7.051431634536654e-5	-4.089167936413596e-14

Samples

28.0ms	116×	1	valid
27.0ms	60×	2	valid
6.0ms	80×	0	valid
4.0ms	76×	0	invalid

Compiler

Compiled 620 to 428 computations (31% saved)

Precisions

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

ival-pow: 30.0ms (55.4% of total)

ival-div: 7.0ms (12.9% of total)

adjust: 7.0ms (12.9% of total)

ival-sub: 3.0ms (5.5% of total)

ival-add: 3.0ms (5.5% of total)

ival-mult: 3.0ms (5.5% 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

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9067903966902345e-8	1.1582466533222877e-6
1.0ms	-7.051431634536654e-5	-4.089167936413596e-14

Compiler

Compiled 548 to 383 computations (30.1% saved)

bsearch9.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9067903966902345e-8	1.1582466533222877e-6
8.0ms	-7.051431634536654e-5	-4.089167936413596e-14

Samples

3.0ms	4×	3	valid
1.0ms	3×	2	valid
1.0ms	4×	1	valid
0.0ms	6×	0	invalid
0.0ms	5×	0	valid

Compiler

Compiled 548 to 383 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow: 4.0ms (75.3% of total)

ival-div: 1.0ms (18.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.2%)

Memory

-34.7MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9067903966902345e-8	1.1582466533222877e-6
46.0ms	-8.660264422703552e+146	-4.530735183081234e+140

Samples

25.0ms	75×	1	valid
12.0ms	26×	2	valid
3.0ms	43×	0	valid

Compiler

Compiled 720 to 477 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 24.0ms (67.2% of total)

ival-div: 5.0ms (14% of total)

adjust: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

ival-mult: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9067903966902345e-8	1.1582466533222877e-6
34.0ms	-8.660264422703552e+146	-4.530735183081234e+140

Samples

20.0ms	64×	1	valid
6.0ms	12×	2	valid
3.0ms	36×	0	valid

Compiler

Compiled 736 to 461 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-pow: 17.0ms (67.2% of total)

ival-div: 3.0ms (11.9% of total)

adjust: 2.0ms (7.9% of total)

ival-add: 1.0ms (4% of total)

ival-sub: 1.0ms (4% of total)

ival-mult: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch82.0ms (0.4%)

Memory

4.4MiB live, 49.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	2.6280031830180444e-52	5.432781675887322e-52
47.0ms	-9.02661145557322e-153	-5.299476201987268e-168
1.0ms	-8.660264422703552e+146	-4.530735183081234e+140

Samples

28.0ms	77×	2	valid
24.0ms	120×	1	valid
8.0ms	140×	0	invalid
2.0ms	43×	0	valid

Compiler

Compiled 859 to 562 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-pow: 27.0ms (53.4% of total)

ival-div: 8.0ms (15.8% of total)

adjust: 5.0ms (9.9% of total)

ival-add: 3.0ms (5.9% of total)

ival-sub: 3.0ms (5.9% of total)

ival-mult: 3.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-9.02661145557322e-153	-5.299476201987268e-168
1.0ms	-8.660264422703552e+146	-4.530735183081234e+140

Compiler

Compiled 819 to 542 computations (33.8% saved)

bsearch3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-9.02661145557322e-153	-5.299476201987268e-168
1.0ms	-8.660264422703552e+146	-4.530735183081234e+140

Compiler

Compiled 774 to 512 computations (33.9% saved)

bsearch53.0ms (0.3%)

Memory

-19.8MiB live, 56.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6280031830180444e-52	5.432781675887322e-52
49.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Samples

20.0ms	54×	2	valid
13.0ms	74×	1	valid
7.0ms	88×	0	invalid
1.0ms	16×	0	valid

Compiler

Compiled 476 to 313 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 15.0ms (44.5% of total)

ival-div: 8.0ms (23.7% of total)

adjust: 4.0ms (11.9% of total)

ival-add: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-mult: 2.0ms (5.9% 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

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 440 to 295 computations (33% saved)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 342 to 225 computations (34.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 310 to 202 computations (34.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 300 to 197 computations (34.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 268 to 174 computations (35.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6280031830180444e-52	5.432781675887322e-52
1.0ms	-3.6850578785853803e-101	-1.124601313327396e-109

Compiler

Compiled 258 to 169 computations (34.5% saved)

bsearch60.0ms (0.3%)

Memory

19.6MiB live, 57.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	8.77696289914036e+61	1.3679249847803518e+66
26.0ms	-6.679977241637223e+87	-1.5738732107358572e+84

Samples

31.0ms	149×	1	valid
8.0ms	107×	0	valid
5.0ms	68×	0	invalid

Compiler

Compiled 228 to 159 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 17.0ms (50.2% of total)

ival-div: 6.0ms (17.7% of total)

adjust: 3.0ms (8.9% of total)

ival-add: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-mult: 2.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify28.0ms (0.1%)

Memory

-25.6MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	2093
1	251	2093
2	261	2093
3	273	2093
4	276	2093
5	277	2093

Stop Event

1×

saturated

Calls

Call 1

Inputs
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(if (<=.f64 n #s(literal -8854437155380585/295147905179352825856 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -8854437155380585/295147905179352825856 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i))) (if (<=.f64 n #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -2508757194024499/73786976294838206464 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) (if (<=.f64 n #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -27999999999999999798412826629476306389187989434489443925370433627823968286401707089839814900792325035629685228203905094687462143318306087501824 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))))
(if (<=.f64 n #s(literal -520000000000000022366060244708550352688568998769166400293640445368798197864560119878127014016909021197167426005569945281626911329976842190848 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 i #s(literal 1/2 binary64))) (.f64 n n)))))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i)))))
(if (<=.f64 n #s(literal -27999999999999999798412826629476306389187989434489443925370433627823968286401707089839814900792325035629685228203905094687462143318306087501824 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal -2921258960492219/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 n n)))))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))) i))))))
(if (<=.f64 n #s(literal -27999999999999999798412826629476306389187989434489443925370433627823968286401707089839814900792325035629685228203905094687462143318306087501824 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal -2921258960492219/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 n n)))))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))))
(if (<=.f64 n #s(literal -27999999999999999798412826629476306389187989434489443925370433627823968286401707089839814900792325035629685228203905094687462143318306087501824 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal -2921258960492219/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* i (neg (/ i n))) (+ (* (* n (pow (+ 1 (/ i n)) n)) (neg (/ i n))) i)) #s(approx (+ (* i (/ (- 1/2 (/ 1/2 n)) (neg n))) (/ 1 n)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal 1 binary64)) n))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 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 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (.f64 (.f64 i i) (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 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 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 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 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))))
(if (<=.f64 i #s(literal -1600000000000000049290661169544411052432403264122293541537435905110623764661302984704 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

Outputs
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(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(approx (/ ( 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))))))
(if (<=.f64 n #s(literal -2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 893048233349365/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))))
(if (<=.f64 i #s(literal -1600000000000000049290661169544411052432403264122293541537435905110623764661302984704 binary64)) #s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx ( 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64)))

soundness1.4s (6.7%)

Memory

8.4MiB live, 655.0MiB allocated

Rules

11 188×	`lower-fma.f64`
11 188×	`lower-fma.f32`
11 174×	`lower-fma.f64`
11 174×	`lower-fma.f32`
9 714×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	228
0	60	202
1	242	198
2	2180	198
0	8154	182
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38
0	515	3831
1	1624	3489
2	5523	3268
0	8137	2980
0	1268	17719
1	4246	16029
0	8440	14902
0	1546	20995
1	5016	19128
0	8582	18012
0	852	12269
1	2638	11252
0	8311	10357

Stop Event

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

Compiler

Compiled 2 460 to 1 112 computations (54.8% saved)

preprocess152.0ms (0.7%)

Memory: 4.1MiB live, 81.5MiB allocated
Compiler: Compiled 1 794 to 354 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze235.0ms (1.1%)

sample10.4s (49.1%)

preprocess205.0ms (1%)

explain337.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify174.0ms (0.8%)

localize140.0ms (0.7%)

series51.0ms (0.2%)

simplify652.0ms (3.1%)

rewrite295.0ms (1.4%)

eval118.0ms (0.6%)

prune108.0ms (0.5%)

simplify317.0ms (1.5%)

localize214.0ms (1%)

series37.0ms (0.2%)

simplify409.0ms (1.9%)

rewrite673.0ms (3.2%)

eval165.0ms (0.8%)

prune190.0ms (0.9%)

simplify173.0ms (0.8%)

localize261.0ms (1.2%)

series53.0ms (0.3%)

simplify477.0ms (2.3%)

rewrite395.0ms (1.9%)

eval231.0ms (1.1%)

prune368.0ms (1.7%)

simplify281.0ms (1.3%)

localize355.0ms (1.7%)

series39.0ms (0.2%)

simplify424.0ms (2%)

rewrite315.0ms (1.5%)

eval176.0ms (0.8%)

prune245.0ms (1.2%)

regimes290.0ms (1.4%)

regimes103.0ms (0.5%)

regimes31.0ms (0.1%)

regimes17.0ms (0.1%)

regimes54.0ms (0.3%)

regimes12.0ms (0.1%)

regimes61.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0%)

regimes9.0ms (0%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes8.0ms (0%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch82.0ms (0.4%)

bsearch2.0ms (0%)

bsearch9.0ms (0%)

bsearch51.0ms (0.2%)

bsearch37.0ms (0.2%)

bsearch82.0ms (0.4%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch53.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch60.0ms (0.3%)

simplify28.0ms (0.1%)

soundness1.4s (6.7%)

preprocess152.0ms (0.7%)

end0.0ms (0%)

Profiling