Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze968.0ms (7.7%)

Memory

-2.7MiB live, 199.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.1s (32.4%)

Memory

64.5MiB live, 3 569.2MiB allocated

Samples

1.5s	4 501×	1	valid
1.2s	1 614×	2	valid
544.0ms	2 094×	0	valid
285.0ms	47×	3	valid
162.0ms	2 065×	0	invalid
2.0ms	20×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-pow: 1.8s (57.2% of total)

ival-div: 672.0ms (21.6% of total)

ival-mult: 198.0ms (6.4% of total)

adjust: 178.0ms (5.7% of total)

ival-sub: 158.0ms (5.1% of total)

ival-add: 100.0ms (3.2% of total)

exact: 11.0ms (0.4% of total)

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

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain627.0ms (5%)

Memory

-181.8MiB live, 373.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
163	1	(-0.007943798150347386 2.203883420736948e+112)	15	(-4.2047150470918956e+126 -3.825958323904165e-306)	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
61	71	(-3.204708357354586e-139 4.1222745824117346e+25)	57	(-4.2047150470918956e+126 -3.825958323904165e-306)	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
29	2	(-4.0617035159381344e+68 -7.148176956750969e-244)	4	(1.1283323935094021e-203 7.441294193660015e+108)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(/.f64 i n)`
0	0	-	0	-	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
0	0	-	0	-	`#s(literal 100 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`	cancellation	149	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	75	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	u/u	25	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	underflow	54
↳	`(/.f64 i n)`	underflow	25
↳	`(/.f64 i n)`	underflow	25
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/o	2	0
↳	`(/.f64 i n)`	overflow	14

Confusion

	Predicted +	Predicted -
+	136	48
-	16	56

Precision

0.8947368421052632

Recall

0.7391304347826086

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	48
-	16	0	56

Precision?

0.8947368421052632

Recall?

0.7391304347826086

Freqs

test

number	freq
0	104
1	78
2	49
3	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

350.0ms	118×	2	valid
88.0ms	282×	1	valid
10.0ms	106×	0	valid
5.0ms	6×	3	valid

Compiler

Compiled 243 to 73 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-pow: 369.0ms (86.4% of total)

ival-div: 21.0ms (4.9% of total)

adjust: 17.0ms (4% of total)

ival-sub: 7.0ms (1.6% of total)

ival-add: 6.0ms (1.4% of total)

ival-mult: 6.0ms (1.4% of total)

ival-true: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

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

preprocess174.0ms (1.4%)

Memory

24.0MiB live, 101.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.9%	(*.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)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify129.0ms (1%)

Memory

6.1MiB live, 77.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize381.0ms (3%)

Memory

-31.5MiB live, 135.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11116965476030194	(*.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	6.216952315494333	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	14.470760601220316	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	37.76234307703767	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

92.0ms	141×	1	valid
25.0ms	59×	2	valid
5.0ms	53×	0	valid
2.0ms	3×	3	valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-pow: 82.0ms (76.4% of total)

ival-div: 8.0ms (7.5% of total)

adjust: 6.0ms (5.6% of total)

ival-mult: 6.0ms (5.6% of total)

ival-sub: 3.0ms (2.8% of total)

ival-add: 3.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

4 → 89

Calls

Call 1

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

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

Calls

6 calls:

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

simplify166.0ms (1.3%)

Memory

-5.9MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

Calls

Call 1

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

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

rewrite178.0ms (1.4%)

Memory

4.3MiB live, 122.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 498

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(.f64 (/.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(.f64 (/.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (/.f64 (neg.f64 i) n) i)) (neg.f64 n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) (/.f64 n (/.f64 (neg.f64 i) n)))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal -1 binary64)) (neg.f64 n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 (/.f64 i n) i)) n)
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (.f64 i i)) (*.f64 n n))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 n i))
(.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) i) (.f64 (/.f64 n i) n))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) n)
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) #s(literal -1 binary64)) n)
(.f64 (.f64 (/.f64 n i) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) (neg.f64 n))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 n) i))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) i))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) i))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) i))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 i n)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (pow.f64 n #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) i) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) i) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n))
(.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 #s(literal -1 binary64) i) (.f64 (neg.f64 n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 n i)))
(.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n i) (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))))
(.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) (pow.f64 i #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n))
(.f64 (/.f64 (neg.f64 n) i) (neg.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))))
(.f64 (.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
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(pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i)
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(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n))
(/.f64 (/.f64 (.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 (/.f64 i n) n))
(/.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
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(+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n))
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n))
(.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))

eval113.0ms (0.9%)

Memory: -3.0MiB live, 88.0MiB allocated
Compiler: Compiled 18 454 to 2 126 computations (88.5% saved)

prune40.0ms (0.3%)

Memory

-14.3MiB live, 59.9MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	557	27	584
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	557	28	585

Accuracy

100.0%

Counts

585 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f64 (.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n))) #s(literal 100 binary64)) (/.f64 n i)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
	73.7%	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
	69.1%	(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n))) #s(literal 100 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
▶	83.7%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
	83.1%	(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
	83.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n))
	81.4%	(.f64 (/.f64 n i) (.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
▶	81.5%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	81.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
▶	30.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
	26.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	26.0%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
✓	30.9%	(*.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)))
	13.2%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
	14.2%	(*.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)))
	45.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	45.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
	7.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
	71.6%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	83.0%	(.f64 #s(literal 100 binary64) (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
	53.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
▶	53.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	75.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (expm1.f64 i) n) i)))
	17.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i))))
	80.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	6.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
▶	47.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))

Compiler

Compiled 1 191 to 804 computations (32.5% saved)

simplify169.0ms (1.3%)

Memory

20.0MiB live, 210.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(/.f64 n i)
cost-diff	0	(.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff	0	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
cost-diff	0	(/.f64 i n)
cost-diff	0	(+.f64 (/.f64 i n) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
cost-diff	0	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
cost-diff	512	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	960	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
cost-diff	0	(*.f64 #s(literal 100 binary64) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
cost-diff	0	(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff	384	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	339
0	73	333
1	144	325
2	303	325
3	824	325
4	2582	325
5	6610	325
0	8359	309

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (2.6%)

Memory

-0.8MiB live, 368.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.09163840476030194	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
accuracy	3.4093983855920906	(log1p.f64 (/.f64 i n))
accuracy	6.102143580936387	(*.f64 (log1p.f64 (/.f64 i n)) n)
accuracy	6.792134914567841	(.f64 (/.f64 n i) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy	0	(neg.f64 n)
accuracy	0.09163840476030194	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
accuracy	14.470760601220316	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy	29.818494720982127	(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i))
accuracy	0.5399163409352901	(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy	3.573196032644064	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	3.8648774463170006	(fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
accuracy	25.34685297414312	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
accuracy	0	(*.f64 #s(literal 100 binary64) n)
accuracy	31.220207059021085	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
accuracy	0.078125	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
accuracy	3.4093983855920906	(log1p.f64 (/.f64 i n))
accuracy	5.613822636902186	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
accuracy	6.102143580936387	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

162.0ms	140×	1	valid
64.0ms	42×	2	valid
21.0ms	6×	5	exit
19.0ms	57×	0	valid
4.0ms	11×	0	invalid

Compiler

Compiled 665 to 85 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-pow: 75.0ms (33% of total)

adjust: 39.0ms (17.1% of total)

ival-mult: 30.0ms (13.2% of total)

const: 29.0ms (12.8% of total)

ival-div: 22.0ms (9.7% of total)

ival-add: 12.0ms (5.3% of total)

ival-sub: 9.0ms (4% of total)

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

ival-expm1: 5.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory

2.8MiB live, 40.8MiB allocated

Counts

21 → 226

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
10.0ms	i	@	inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (neg n))
5.0ms	i	@	-inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (neg n))
4.0ms	n	@	0	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (neg n))
4.0ms	n	@	-inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (neg n))
4.0ms	n	@	inf	((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (/ i n) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (log (+ 1 (/ i n))) (/ 1/3 (* n n)) (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (neg n))

simplify199.0ms (1.6%)

Memory

-2.1MiB live, 152.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1003	7910
1	3182	7219
0	8058	6677

Stop Event

1×	iter limit
1×	node limit

Counts

226 → 224

Calls

Call 1

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

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

rewrite263.0ms (2.1%)

Memory

3.6MiB live, 159.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	259
0	73	253
1	300	245
2	2462	237
0	9437	237

Stop Event

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

Counts

21 → 1 340

Calls

Call 1

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

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

eval306.0ms (2.4%)

Memory: -12.9MiB live, 269.1MiB allocated
Compiler: Compiled 42 774 to 5 035 computations (88.2% saved)

prune86.0ms (0.7%)

Memory

7.2MiB live, 85.5MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1 328	24	1 352
Fresh	12	10	22
Picked	2	3	5
Done	0	1	1
Total	1 342	38	1 380

Accuracy

100.0%

Counts

1 380 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
	69.1%	(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 3 binary64) n))) #s(literal 100 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))
	30.9%	(/.f64 (.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 i n))
▶	83.5%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	71.5%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	83.1%	(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))
	42.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	83.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	83.0%	(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) #s(literal 100 binary64))
✓	81.5%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	70.2%	(.f64 (.f64 (/.f64 n i) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) #s(literal 100 binary64))
	43.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i))) #s(literal 100 binary64))
▶	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64))
	70.0%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) #s(literal 100 binary64))
	81.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	81.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
✓	30.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
	26.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	26.0%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)))
	12.0%	(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 n i) (/.f64 (neg.f64 n) i)))
✓	30.9%	(*.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)))
▶	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
	53.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	56.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n)))
	42.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (.f64 #s(literal 1/3 binary64) i)) (.f64 n n))) n)))
	40.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i)) n (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	9.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) i (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	56.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
	11.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	50.6%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i)))
	48.6%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
	53.1%	#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (.f64 #s(literal 100 binary64) (fma.f64 (.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)))
▶	80.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
	6.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
✓	47.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	48.9%	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))
▶	14.4%	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
	40.8%	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (.f64 (.f64 #s(literal -100 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))))

Compiler

Compiled 2 052 to 1 353 computations (34.1% saved)

simplify125.0ms (1%)

Memory

-8.2MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
cost-diff	0	(/.f64 n i)
cost-diff	0	(.f64 (/.f64 n i) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
cost-diff	0	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64))
cost-diff	0	(/.f64 (expm1.f64 i) i)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
cost-diff	0	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
cost-diff	0	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
cost-diff	128	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
cost-diff	384	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))
cost-diff	0	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
cost-diff	704	(/.f64 #s(literal 0 binary64) i)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)))
cost-diff	384	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	281
0	83	272
1	162	269
2	340	264
3	736	264
4	2229	264
5	4860	264
6	7822	264
0	8063	263

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.1%)

Memory

7.1MiB live, 203.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
accuracy	0.1424036219543147	(-.f64 (log.f64 i) (log.f64 n))
accuracy	1.9257707192551332	(.f64 (/.f64 n i) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
accuracy	11.706928597045014	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
accuracy	0	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	0	(.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy	0	(expm1.f64 i)
accuracy	4.97740596185136	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))
accuracy	0.00390625	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
accuracy	1.5989373820210704	(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))
accuracy	7.835981656936262	#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i))
accuracy	10.700086529736234	(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 0 binary64) i)
accuracy	13.575691854672925	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i))
accuracy	0.046875	(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))
accuracy	1.2106664659750974	(log1p.f64 (/.f64 i n))
accuracy	1.6141101930699473	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
accuracy	1.6580028464962615	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

61.0ms	188×	0	invalid
33.0ms	38×	1	valid
15.0ms	15×	2	valid
4.0ms	14×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 559 to 97 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-pow: 28.0ms (30.3% of total)

ival-div: 18.0ms (19.5% of total)

ival-mult: 18.0ms (19.5% of total)

ival-add: 6.0ms (6.5% of total)

adjust: 5.0ms (5.4% of total)

ival-log: 5.0ms (5.4% of total)

ival-expm1: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-log1p: 3.0ms (3.2% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series191.0ms (1.5%)

Memory

11.2MiB live, 245.4MiB allocated

Counts

23 → 203

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
50.0ms	i	@	0	((* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 0 i) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (- (exp i) 1) (- (log i) (log n)) (* (- (log i) (log n)) n))
41.0ms	i	@	-inf	((* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 0 i) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (- (exp i) 1) (- (log i) (log n)) (* (- (log i) (log n)) n))
34.0ms	n	@	-inf	((* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 0 i) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (- (exp i) 1) (- (log i) (log n)) (* (- (log i) (log n)) n))
33.0ms	n	@	0	((* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 0 i) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (- (exp i) 1) (- (log i) (log n)) (* (- (log i) (log n)) n))
15.0ms	i	@	inf	((* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 0 i) (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100) (* (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (- (exp i) 1) (- (log i) (log n)) (* (- (log i) (log n)) n))

simplify291.0ms (2.3%)

Memory

10.2MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	6767
1	2886	6288
0	8392	5791

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 201

Calls

Call 1

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

rewrite251.0ms (2%)

Memory

-18.3MiB live, 187.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	247
0	83	236
1	305	225
2	2186	225
0	8566	224

Stop Event

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

Counts

23 → 562

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (neg.f64 i) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) i)
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) n)) i)
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) i)
(*.f64 #s(literal 1 binary64) (/.f64 i n))
(*.f64 (/.f64 i n) #s(literal 1 binary64))
(*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n))
(.f64 i (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 i (pow.f64 n #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (pow.f64 (neg.f64 i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 i)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 i) n))
(pow.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n i) #s(literal -1 binary64))
(pow.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) n) (.f64 (neg.f64 n) (/.f64 i #s(literal -1 binary64)))) (*.f64 (neg.f64 n) n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 n) i)) (.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (/.f64 (neg.f64 n) i)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) n) (.f64 (neg.f64 n) (neg.f64 i))) (*.f64 (neg.f64 n) n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 n)) (.f64 (neg.f64 n) i)) (*.f64 n n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 n i)) (.f64 (neg.f64 n) #s(literal -1 binary64))) (*.f64 (neg.f64 n) (/.f64 n i)))
(/.f64 (/.f64 (neg.f64 i) #s(literal -1 binary64)) n)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (neg.f64 n))
(/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n i))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 n) i))
(neg.f64 (/.f64 (neg.f64 i) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (neg.f64 i) n))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 i) n))
(exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 i) #s(literal 100 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 i) #s(literal 100 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(.f64 (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal 100 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)))
(.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64))))
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(/.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (*.f64 i #s(literal 2 binary64)))))
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(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
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(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 n i)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 n i))))
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(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 n i)) (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
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(neg.f64 (log.f64 (/.f64 (/.f64 n i) #s(literal 1 binary64))))
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(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
(*.f64 (log.f64 (/.f64 i n)) n)
(*.f64 n (log.f64 (/.f64 i n)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) n) (log.f64 (.f64 n i)))
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(/.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (log.f64 (.f64 n i)))
(/.f64 (.f64 n (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (fma.f64 (log.f64 n) (log.f64 (.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))
(fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n))
(fma.f64 n (log.f64 i) (*.f64 n (neg.f64 (log.f64 n))))
(+.f64 (.f64 (log.f64 i) n) (.f64 (neg.f64 (log.f64 n)) n))
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eval108.0ms (0.9%)

Memory: 5.3MiB live, 118.5MiB allocated
Compiler: Compiled 25 363 to 3 362 computations (86.7% saved)

prune67.0ms (0.5%)

Memory

-18.1MiB live, 64.4MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	725	31	756
Fresh	16	13	29
Picked	2	3	5
Done	0	4	4
Total	743	51	794

Accuracy

100.0%

Counts

794 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (.f64 (.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
	30.9%	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	73.7%	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
	11.8%	(/.f64 (.f64 n (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) i)
✓	83.5%	(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
▶	44.9%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	71.5%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	42.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	42.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	12.8%	(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))))
	11.6%	(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
▶	83.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
▶	14.2%	(.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	12.0%	(.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (.f64 (/.f64 n i) #s(literal 100 binary64)))
✓	81.5%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	70.2%	(.f64 (.f64 (/.f64 n i) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) #s(literal 100 binary64))
	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n)))) #s(literal 100 binary64))
	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+.f64 (.f64 (log.f64 i) n) (.f64 (neg.f64 (log.f64 n)) n)))) #s(literal 100 binary64))
	11.3%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n))) #s(literal 100 binary64))
✓	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64))
	14.1%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	70.0%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) #s(literal 100 binary64))
	81.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	14.2%	(.f64 (.f64 n (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i)) #s(literal 100 binary64))
	14.2%	(.f64 (.f64 n (.f64 (pow.f64 i #s(literal -1 binary64)) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)))) #s(literal 100 binary64))
✓	30.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
	26.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	8.5%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 (neg.f64 i) n) (/.f64 i n)) (.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
✓	30.9%	(*.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)))
	8.5%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 (neg.f64 i) n)) (.f64 (/.f64 i n) #s(literal -1 binary64))) (.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
✓	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)))))
	53.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	56.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
▶	11.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	48.6%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
	6.8%	#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (.f64 (.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
	75.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
	80.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (expm1.f64 i) i) (.f64 #s(literal 100 binary64) n)))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
	79.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	53.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	56.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	53.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
✓	47.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	56.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
	56.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 #s(literal 100 binary64) n))))
▶	14.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
	48.9%	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))

Compiler

Compiled 2 472 to 1 702 computations (31.1% saved)

simplify160.0ms (1.3%)

Memory

4.1MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n))
cost-diff	0	(.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
cost-diff	0	(/.f64 n i)
cost-diff	0	(.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
cost-diff	0	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))
cost-diff	384	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))
cost-diff	0	(.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
cost-diff	0	(*.f64 (log1p.f64 (/.f64 i n)) n)
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
cost-diff	0	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
cost-diff	0	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	391
0	91	382
1	170	380
2	381	379
3	1097	379
4	4370	379
0	8150	367

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.6%)

Memory

4.1MiB live, 238.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(*.f64 (log.f64 (/.f64 i n)) n)
accuracy	3.861094602173435	(.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
accuracy	7.137654610625188	(log.f64 (/.f64 i n))
accuracy	26.12431563542404	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n))
accuracy	0.0625	(.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))
accuracy	0.109375	(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))
accuracy	3.5198469747445498	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
accuracy	23.049626169105473	#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
accuracy	0.12890625	(.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))
accuracy	6.145885163241873	(/.f64 (*.f64 i i) n)
accuracy	21.420167902782023	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64))))
accuracy	23.518011392093406	#s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))
accuracy	30.007106351021775	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
accuracy	0.0234375	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
accuracy	0.0703125	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
accuracy	3.3976796355920906	(log1p.f64 (/.f64 i n))
accuracy	3.8284996653447707	(*.f64 (log1p.f64 (/.f64 i n)) n)

Samples

78.0ms	79×	1	valid
38.0ms	101×	0	invalid
28.0ms	24×	2	valid
18.0ms	51×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 718 to 114 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 33.0ms (26.4% of total)

ival-pow: 21.0ms (16.8% of total)

ival-div: 20.0ms (16% of total)

adjust: 14.0ms (11.2% of total)

const: 8.0ms (6.4% of total)

ival-add: 8.0ms (6.4% of total)

ival-log: 7.0ms (5.6% of total)

ival-sub: 5.0ms (4% of total)

ival-log1p: 4.0ms (3.2% of total)

ival-expm1: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

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

series126.0ms (1%)

Memory

4.1MiB live, 201.5MiB allocated

Counts

21 → 174

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	n	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100)) (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (/ (* i i) n) (log (/ i n)) (* (log (/ i n)) n))
19.0ms	i	@	-inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100)) (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (/ (* i i) n) (log (/ i n)) (* (log (/ i n)) n))
15.0ms	i	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100)) (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (/ (* i i) n) (log (/ i n)) (* (log (/ i n)) n))
14.0ms	n	@	0	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100)) (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (/ (* i i) n) (log (/ i n)) (* (log (/ i n)) n))
12.0ms	i	@	inf	((* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* n 100)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (* (/ (* i i) n) 1/3) (* (/ -1 n) (neg i)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ -1 n) (neg i))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100)) (/ n i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (/ (* i i) n) (log (/ i n)) (* (log (/ i n)) n))

simplify165.0ms (1.3%)

Memory

36.6MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	6151
1	2786	5634
0	8504	5171

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 172

Calls

Call 1

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

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

rewrite190.0ms (1.5%)

Memory

-20.5MiB live, 186.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	331
0	91	325
1	326	319
2	2468	313
0	9291	307

Stop Event

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

Counts

21 → 621

Calls

Call 1

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

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

eval97.0ms (0.8%)

Memory: 9.5MiB live, 130.1MiB allocated
Compiler: Compiled 26 574 to 2 959 computations (88.9% saved)

prune54.0ms (0.4%)

Memory

-1.5MiB live, 83.6MiB allocated

Pruning

55 alts after pruning (44 fresh and 11 done)

	Pruned	Kept	Total
New	775	13	788
Fresh	8	31	39
Picked	0	5	5
Done	1	6	7
Total	784	55	839

Accuracy

100.0%

Counts

839 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i)
	11.8%	(/.f64 (.f64 n (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) i)
✓	44.9%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	71.5%	(/.f64 (.f64 #s(literal 100 binary64) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n))
	42.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n))
	42.7%	(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (.f64 #s(literal 100 binary64) i)) (.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i)))
	11.6%	(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	30.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	17.7%	(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 i #s(literal 1 binary64))) (.f64 i i)) (*.f64 n #s(literal 100 binary64)))
✓	83.0%	(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64)))
	50.0%	(.f64 (/.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal -100 binary64) i))
	7.7%	(.f64 (/.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i) (.f64 n #s(literal 100 binary64)))
	80.2%	(.f64 (/.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) i) (*.f64 n #s(literal 100 binary64)))
	11.3%	(.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) #s(literal 100 binary64)))
✓	14.2%	(.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i))
	12.0%	(.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (.f64 (/.f64 n i) #s(literal 100 binary64)))
✓	81.5%	(.f64 (.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	70.2%	(.f64 (.f64 (/.f64 n i) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) #s(literal 100 binary64))
	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (fma.f64 (log.f64 i) n (*.f64 (neg.f64 (log.f64 n)) n)))) #s(literal 100 binary64))
	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+.f64 (.f64 (log.f64 i) n) (.f64 (neg.f64 (log.f64 n)) n)))) #s(literal 100 binary64))
✓	7.7%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64))
	14.1%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n))) #s(literal 100 binary64))
	70.0%	(.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) #s(literal 100 binary64))
	81.3%	(.f64 (.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
	14.2%	(.f64 (.f64 n (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (log.f64 (/.f64 i n)) n)) i)) #s(literal 100 binary64))
	4.5%	(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (.f64 (/.f64 i n) i) #s(literal 1/3 binary64)))) #s(literal 100 binary64))
	43.6%	(.f64 #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (.f64 #s(literal 100 binary64) (/.f64 n i)))
✓	30.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)))
	26.1%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
	8.5%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 (neg.f64 i) n) (/.f64 i n)) (.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
✓	30.9%	(*.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)))
	8.5%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) (/.f64 (neg.f64 i) n)) (.f64 (/.f64 i n) #s(literal -1 binary64))) (.f64 (/.f64 i n) (/.f64 (neg.f64 i) n))))
✓	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)))
	12.8%	(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)))))
	53.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
	56.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
✓	11.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 (/.f64 (.f64 i i) n) #s(literal 1/3 binary64)))))
	4.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 i (/.f64 n i)) #s(literal 1/3 binary64)))))
	4.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (.f64 i (.f64 (/.f64 i n) #s(literal 1/3 binary64))))))
	48.6%	(.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))
	14.1%	(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (log.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 i))))
	75.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i) #s(literal 100 binary64)) n))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	53.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) #s(literal 100 binary64)) n))
	57.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	56.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))
	53.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n))
✓	47.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
	56.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n))))
	56.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (.f64 #s(literal 100 binary64) n))))
✓	14.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))
	48.9%	#s(approx (* 100 (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i))) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i))

Compiler

Compiled 4 122 to 1 464 computations (64.5% saved)

regimes103.0ms (0.8%)

Memory

-0.3MiB live, 71.8MiB allocated

Counts

96 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	n
24.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
24.0ms	i
20.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
89.8%	4	`i`
93.9%	3	`n`
96.6%	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)))`
96.6%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes47.0ms (0.4%)

Memory

-1.4MiB live, 34.4MiB allocated

Counts

87 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

24.0ms

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

18.0ms

(*.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
95.7%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
95.7%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes46.0ms (0.4%)

Memory

-12.2MiB live, 32.3MiB allocated

Counts

84 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

24.0ms

(*.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)))

18.0ms

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

Results

Accuracy	Segments	Branch
95.7%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
95.7%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes81.0ms (0.6%)

Memory

20.9MiB live, 58.1MiB allocated

Counts

79 → 4

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	n
20.0ms	i
17.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
16.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
82.1%	2	`i`
87.9%	4	`n`
83.6%	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)))`
83.6%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.2%)

Memory

-17.8MiB live, 19.5MiB allocated

Counts

78 → 4

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
87.9%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

75 → 4

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
87.9%	4	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes26.0ms (0.2%)

Memory

0.7MiB live, 38.6MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
85.6%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.1%)

Memory

-18.5MiB live, 30.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
85.5%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

-18.5MiB live, 20.9MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes45.0ms (0.4%)

Memory

5.1MiB live, 44.3MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

11.0ms	n
11.0ms	i
10.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
57.3%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
57.3%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
63.1%	2	`i`
64.8%	3	`n`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	n
4.0ms	i

Results

Accuracy	Segments	Branch
62.0%	2	`i`
63.4%	3	`n`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.0%	2	`i`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	i
2.0ms	n

Results

Accuracy	Segments	Branch
60.5%	3	`n`
59.3%	2	`i`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.0%	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)))`
47.0%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
53.8%	3	`n`
54.2%	3	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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) 1) (/ i n))) #s(literal 0 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.4%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
14.4%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
14.4%	1	`n`
14.4%	1	`i`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	6.970435870032828e-241

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	6.970435870032828e-241

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	6.970435870032828e-241

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch137.0ms (1.1%)

Memory

-1.4MiB live, 38.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
51.0ms	2.4455288433252267e-188	2.9411798041769124e-165
37.0ms	-9.135553482621695e-309	1.5376357102678643e-297
37.0ms	-1.2035983540941075e-123	-7.63987488529795e-127

Samples

36.0ms	110×	2	valid
33.0ms	213×	1	valid
21.0ms	382×	0	invalid
8.0ms	141×	0	valid

Compiler

Compiled 1 548 to 1 157 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-pow: 30.0ms (40.1% of total)

ival-div: 17.0ms (22.8% of total)

adjust: 8.0ms (10.7% of total)

ival-add: 6.0ms (8% of total)

ival-sub: 6.0ms (8% of total)

ival-mult: 6.0ms (8% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

bsearch4.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.4455288433252267e-188	2.9411798041769124e-165
1.0ms	-9.135553482621695e-309	1.5376357102678643e-297
1.0ms	-1.2035983540941075e-123	-7.63987488529795e-127

Compiler

Compiled 1 485 to 1 115 computations (24.9% saved)

bsearch4.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.4455288433252267e-188	2.9411798041769124e-165
1.0ms	-9.135553482621695e-309	1.5376357102678643e-297
1.0ms	-1.2035983540941075e-123	-7.63987488529795e-127

Compiler

Compiled 1 485 to 1 115 computations (24.9% saved)

bsearch76.0ms (0.6%)

Memory

-21.7MiB live, 20.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.4455288433252267e-188	2.9411798041769124e-165
38.0ms	-3.408322078172816e-215	-6.9627006081743526e-220

Samples

24.0ms	77×	2	valid
15.0ms	97×	1	valid
13.0ms	186×	0	invalid
4.0ms	65×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 797 to 585 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 20.0ms (45.3% of total)

ival-div: 9.0ms (20.4% of total)

adjust: 5.0ms (11.3% of total)

ival-add: 3.0ms (6.8% of total)

ival-sub: 3.0ms (6.8% of total)

ival-mult: 3.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4455288433252267e-188	2.9411798041769124e-165
1.0ms	-3.408322078172816e-215	-6.9627006081743526e-220

Compiler

Compiled 797 to 585 computations (26.6% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4455288433252267e-188	2.9411798041769124e-165
1.0ms	-3.408322078172816e-215	-6.9627006081743526e-220

Compiler

Compiled 797 to 585 computations (26.6% saved)

bsearch14.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4455288433252267e-188	2.9411798041769124e-165
11.0ms	-1.2035983540941075e-123	-7.63987488529795e-127

Samples

3.0ms	20×	1	valid
3.0ms	9×	2	valid
1.0ms	26×	0	invalid
0.0ms	3×	0	valid

Compiler

Compiled 1 020 to 721 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow: 3.0ms (45.7% of total)

adjust: 1.0ms (15.2% of total)

ival-div: 1.0ms (15.2% of total)

ival-mult: 1.0ms (15.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-5851266335870.0205	-1972281309801.193

Samples

20.0ms	71×	1	valid
1.0ms	21×	0	invalid
1.0ms	9×	0	valid

Compiler

Compiled 358 to 245 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 13.0ms (67.6% of total)

ival-div: 3.0ms (15.6% of total)

ival-add: 1.0ms (5.2% of total)

adjust: 1.0ms (5.2% of total)

ival-mult: 1.0ms (5.2% of total)

ival-sub: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5851266335870.0205	-1972281309801.193

Compiler

Compiled 273 to 195 computations (28.6% saved)

bsearch41.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-910.2204210327972	-0.007943798150347386

Samples

30.0ms	137×	1	valid
2.0ms	31×	0	invalid
1.0ms	7×	0	valid

Compiler

Compiled 450 to 321 computations (28.7% saved)

Precisions

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

ival-pow: 14.0ms (53.1% of total)

ival-div: 4.0ms (15.2% of total)

adjust: 3.0ms (11.4% of total)

ival-sub: 2.0ms (7.6% of total)

ival-mult: 2.0ms (7.6% of total)

ival-add: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch69.0ms (0.5%)

Memory

-26.4MiB live, 12.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	9.975966300713154e-12	0.0036172655163374825
19.0ms	-5851266335870.0205	-1972281309801.193

Samples

53.0ms	185×	1	valid
2.0ms	42×	0	invalid
1.0ms	7×	1	exit
1.0ms	7×	0	valid

Compiler

Compiled 522 to 393 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow: 30.0ms (61.9% of total)

ival-div: 8.0ms (16.5% of total)

adjust: 4.0ms (8.3% of total)

ival-add: 2.0ms (4.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-mult: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify29.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	1172
1	225	1171
2	247	1171
3	264	1171
4	294	1171
5	339	1171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) (.f64 #s(literal 100 binary64) #s(approx (+ (* (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) (.f64 #s(literal 100 binary64) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) (.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (.f64 #s(literal 100 binary64) (.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) (.f64 #s(literal 100 binary64) #s(approx (+ ( (pow (+ (/ i n) 1) n) (/ n i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)))))
(if (<=.f64 n #s(literal -7316598164803107/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 8630992383272465/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 (.f64 (/.f64 n i) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (+.f64 (.f64 (log.f64 i) n) (.f64 (neg.f64 (log.f64 n)) n)))) #s(literal 100 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (expm1.f64 i) i) (.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -7316598164803107/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 n i) (.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 8630992383272465/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 (.f64 (/.f64 n i) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (expm1.f64 i) i) (.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -7316598164803107/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 n i) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))) n))) #s(literal 100 binary64)) (if (<=.f64 n #s(literal 8630992383272465/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 (.f64 (/.f64 n i) #s(approx (- (exp ( (log (+ 1 (/ i n))) n)) 1) (.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) #s(literal 100 binary64)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (expm1.f64 i) i) (.f64 #s(literal 100 binary64) n))))))
(if (<=.f64 n #s(literal -7154003369321667/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 580932179643339/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 (expm1.f64 i) i) (.f64 #s(literal 100 binary64) n)))))
(if (<=.f64 n #s(literal -7154003369321667/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 580932179643339/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n))))
(if (<=.f64 n #s(literal -7154003369321667/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) (if (<=.f64 n #s(literal 580932179643339/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n))))
(if (<=.f64 n #s(literal -3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 580932179643339/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n))))
(if (<=.f64 i #s(literal -2000000000000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))))
(if (<=.f64 i #s(literal -2000000000000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))
(if (<=.f64 i #s(literal -5854679515581645/9007199254740992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(approx ( (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)))
(if (<=.f64 i #s(literal -3300000000000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) (if (<=.f64 i #s(literal 4150517416584649/1152921504606846976 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 #s(literal 100 binary64) n)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))

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

soundness1.2s (9.8%)

Memory

-9.2MiB live, 30.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	3778
1	1624	3436
2	5511	3215
0	8123	2937
0	911	6767
1	2886	6288
0	8392	5791
0	53	247
0	83	236
1	305	225
2	2186	225
0	8566	224
0	1003	7910
1	3182	7219
0	8058	6677
0	60	331
0	91	325
1	326	319
2	2468	313
0	9291	307
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38

Stop Event

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

Compiler

Compiled 2 873 to 1 163 computations (59.5% saved)

preprocess80.0ms (0.6%)

Memory: 16.9MiB live, 55.8MiB allocated
Compiler: Compiled 2 452 to 410 computations (83.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze968.0ms (7.7%)

sample4.1s (32.4%)

explain627.0ms (5%)

preprocess174.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify129.0ms (1%)

localize381.0ms (3%)

series21.0ms (0.2%)

simplify166.0ms (1.3%)

rewrite178.0ms (1.4%)

eval113.0ms (0.9%)

prune40.0ms (0.3%)

simplify169.0ms (1.3%)

localize323.0ms (2.6%)

series36.0ms (0.3%)

simplify199.0ms (1.6%)

rewrite263.0ms (2.1%)

eval306.0ms (2.4%)

prune86.0ms (0.7%)

simplify125.0ms (1%)

localize143.0ms (1.1%)

series191.0ms (1.5%)

simplify291.0ms (2.3%)

rewrite251.0ms (2%)

eval108.0ms (0.9%)

prune67.0ms (0.5%)

simplify160.0ms (1.3%)

localize200.0ms (1.6%)

series126.0ms (1%)

simplify165.0ms (1.3%)

rewrite190.0ms (1.5%)

eval97.0ms (0.8%)

prune54.0ms (0.4%)

regimes103.0ms (0.8%)

regimes47.0ms (0.4%)

regimes46.0ms (0.4%)

regimes81.0ms (0.6%)

regimes28.0ms (0.2%)

regimes23.0ms (0.2%)

regimes26.0ms (0.2%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes45.0ms (0.4%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch137.0ms (1.1%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch76.0ms (0.6%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch41.0ms (0.3%)

bsearch69.0ms (0.5%)

simplify29.0ms (0.2%)

soundness1.2s (9.8%)

preprocess80.0ms (0.6%)

end0.0ms (0%)

Profiling