Metrics for Compound Interest

analyze197.0ms (1.2%)

Memory

21.8MiB live, 294.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.8s (29.6%)

Memory

49.2MiB live, 4 722.7MiB allocated

Samples

1.8s	4 444×	1	valid
1.3s	1 684×	2	valid
309.0ms	2 048×	0	invalid
257.0ms	2 068×	0	valid
50.0ms	60×	3	valid
2.0ms	16×	1	exit

Precisions

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

ival-pow: 1.6s (50.6% of total)

adjust: 484.0ms (15.7% of total)

ival-div: 391.0ms (12.7% of total)

ival-mult: 349.0ms (11.3% of total)

ival-sub: 165.0ms (5.4% of total)

ival-add: 108.0ms (3.5% of total)

exact: 11.0ms (0.4% of total)

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

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

Bogosity

preprocess270.0ms (1.7%)

Memory

-22.6MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain403.0ms (2.5%)

Memory

-17.0MiB live, 455.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
54	74	(-1.6632621984468636e-162 1.1789689879113277e+260)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
38	0	-	3	(-1.7207698539184825e-24 -3.440297068612934e+293)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
2	0	-	2	(2.8210269904979696e-121 3.5770544916943135e-221)	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(/.f64 i n)`
0	0	-	0	-	`#s(literal 100 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`	cancellation	178	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	109	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	35	0
↳	`(/.f64 i n)`	underflow	35
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	19	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	29
↳	`(/.f64 i n)`	overflow	19
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	19

Confusion

	Predicted +	Predicted -
+	188	0
-	24	44

Precision

0.8867924528301887

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	0	0
-	24	0	44

Precision?

0.8867924528301887

Recall?

1.0

Freqs

test

number	freq
0	44
1	118
2	59
3	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

121.0ms	270×	1	valid
85.0ms	126×	2	valid
11.0ms	110×	0	valid
6.0ms	6×	3	valid

Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-pow: 107.0ms (68.8% of total)

ival-div: 19.0ms (12.2% of total)

adjust: 11.0ms (7.1% of total)

ival-sub: 6.0ms (3.9% of total)

ival-mult: 6.0ms (3.9% of total)

ival-add: 5.0ms (3.2% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.9%	(*.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 17 to 10 computations (41.2% saved)

simplify158.0ms (1%)

Memory

29.1MiB live, 111.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize114.0ms (0.7%)

Memory

-18.8MiB live, 178.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.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	86.3%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓	accuracy	79.9%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	35.7%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

56.0ms	135×	1	valid
35.0ms	63×	2	valid
5.0ms	55×	0	valid
3.0ms	3×	3	valid

Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-pow: 55.0ms (67.1% of total)

ival-div: 8.0ms (9.8% of total)

ival-add: 6.0ms (7.3% of total)

adjust: 5.0ms (6.1% of total)

ival-mult: 4.0ms (4.9% of total)

ival-sub: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory

9.1MiB live, 47.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify375.0ms (2.3%)

Memory

25.0MiB live, 646.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite580.0ms (3.6%)

Memory

-16.4MiB live, 552.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 498

Calls

Call 1

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

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

eval223.0ms (1.4%)

Memory: 25.9MiB live, 101.0MiB allocated
Compiler: Compiled 18 586 to 2 040 computations (89% saved)

prune127.0ms (0.8%)

Memory

0.6MiB live, 197.6MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	560	32	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	561	32	593

Accuracy

99.9%

Counts

593 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.9%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	29.7%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	29.7%	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
	29.4%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	29.7%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
	29.7%	(.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)))
	24.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
	24.4%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
	24.9%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
	24.4%	(.f64 #s(literal 100 binary64) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
	14.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
	27.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
▶	21.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	8.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	14.1%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	15.9%	(*.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)))
▶	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	36.5%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
	38.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
	15.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
	12.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
	59.5%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
▶	29.4%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
	51.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
	49.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
	68.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
▶	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	12.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
	12.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (.f64 i i))) (/.f64 #s(literal -1/2 binary64) (.f64 i (.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
	66.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
▶	47.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))

Compiler

Compiled 1 316 to 796 computations (39.5% saved)

simplify225.0ms (1.4%)

Memory

-26.6MiB live, 232.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
✓	cost-diff	704	(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	1024	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓	cost-diff	1728	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	cost-diff	0	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
✓	cost-diff	0	(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
✓	cost-diff	704	(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))
✓	cost-diff	0	(*.f64 n (expm1.f64 i))
✓	cost-diff	0	(.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
✓	cost-diff	0	(*.f64 n #s(literal 100 binary64))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
✓	cost-diff	0	(*.f64 n (log1p.f64 (/.f64 i n)))
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓	cost-diff	384	(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓	cost-diff	6272	(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))

Rules

5 920×	`lower-fma.f64`
5 920×	`lower-fma.f32`
3 900×	`lower-*.f32`
3 884×	`lower-*.f64`
1 934×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	328
0	69	288
1	132	272
2	291	270
3	769	270
4	2323	270
5	4179	270
6	6648	270
0	8070	270

Stop Event

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

Calls

Call 1

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

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

localize269.0ms (1.6%)

Memory

-11.9MiB live, 300.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
✓	accuracy	79.9%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	74.6%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	accuracy	36.1%	(-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓	accuracy	100.0%	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
✓	accuracy	99.8%	(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
✓	accuracy	79.9%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓	accuracy	48.9%	(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))
✓	accuracy	100.0%	(expm1.f64 i)
✓	accuracy	99.7%	(.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓	accuracy	90.3%	(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓	accuracy	78.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
✓	accuracy	100.0%	(*.f64 n #s(literal 100 binary64))
✓	accuracy	53.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓	accuracy	92.8%	(log1p.f64 (/.f64 i n))
✓	accuracy	86.9%	(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓	accuracy	86.8%	(*.f64 n (log1p.f64 (/.f64 i n)))

Samples

150.0ms	169×	1	valid
36.0ms	29×	2	valid
10.0ms	37×	0	valid
9.0ms	3×	5	exit
6.0ms	17×	0	invalid
0.0ms	1×	1	exit

Compiler

Compiled 341 to 36 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-pow: 53.0ms (35.6% of total)

ival-div: 38.0ms (25.6% of total)

ival-mult: 26.0ms (17.5% of total)

adjust: 12.0ms (8.1% of total)

ival-sub: 7.0ms (4.7% of total)

ival-log1p: 5.0ms (3.4% of total)

ival-expm1: 5.0ms (3.4% of total)

ival-add: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

29.8MiB live, 67.1MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
3.0ms	i	@	inf	(/ (* (* n (- (exp i) 1)) 100) i)
2.0ms	i	@	inf	(* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n))
1.0ms	i	@	-inf	(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms	n	@	0	(/ (* (* n (- (exp i) 1)) 100) i)

simplify428.0ms (2.6%)

Memory

11.7MiB live, 604.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 420×	`lower-fma.f64`
9 420×	`lower-fma.f32`
7 416×	`lower-+.f64`
7 416×	`lower-+.f32`
5 574×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1081	14805
1	3425	13624
0	8202	12578

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 470

Calls

Call 1

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

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

rewrite529.0ms (3.2%)

Memory

-37.7MiB live, 526.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 618×	`lower-/.f32`
5 598×	`lower-/.f64`
3 406×	`lower-fma.f64`
3 406×	`lower-fma.f32`
2 776×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
0	67	198
1	268	192
2	2210	192
0	8421	192

Stop Event

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

Counts

21 → 1 306

Calls

Call 1

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

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

eval285.0ms (1.7%)

Memory: 51.5MiB live, 343.7MiB allocated
Compiler: Compiled 61 482 to 4 668 computations (92.4% saved)

prune244.0ms (1.5%)

Memory

-25.4MiB live, 457.3MiB allocated

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	1 799	33	1 832
Fresh	13	14	27
Picked	2	3	5
Done	0	0	0
Total	1 814	50	1 864

Accuracy

99.9%

Counts

1 864 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.9%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	29.7%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	29.7%	(/.f64 (*.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) #s(literal 100 binary64)) i)
	29.4%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	29.7%	(*.f64 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
	24.4%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	24.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
	24.4%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
	24.9%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
	21.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	18.4%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	12.7%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (.f64 n i)) i) (.f64 i (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
▶	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	20.0%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
	27.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
	14.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	17.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) (.f64 (neg.f64 i) n)) (*.f64 (neg.f64 i) i)))
▶	29.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
	14.1%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	15.9%	(*.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)))
	9.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	13.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	16.8%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 i n)))
	43.1%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx ( n (log (+ 1 (/ i n)))) (fma.f64 i (.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i))) (/.f64 i n)))
	15.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
	12.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
	46.0%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	29.4%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	51.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
	49.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
▶	68.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
▶	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (.f64 (.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
✓	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	50.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
	47.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
	12.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i))
	14.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
	51.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
	49.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
	68.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
	14.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
✓	47.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	54.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
	52.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
▶	51.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))

Compiler

Compiled 1 970 to 1 186 computations (39.8% saved)

simplify410.0ms (2.5%)

Memory

-158.8MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) n) n)
✓	cost-diff	512	(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n))
✓	cost-diff	832	(-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
✓	cost-diff	1728	(/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	cost-diff	0	(-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n)
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i)
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
✓	cost-diff	320	(.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 i (.f64 n n))
✓	cost-diff	0	#s(approx (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
✓	cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
✓	cost-diff	2176	(fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)
✓	cost-diff	0	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
✓	cost-diff	0	(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
✓	cost-diff	0	#s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
✓	cost-diff	0	(*.f64 n (expm1.f64 i))
✓	cost-diff	0	(/.f64 (*.f64 n (expm1.f64 i)) i)
✓	cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
✓	cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))

Rules

3 238×	`lower-fma.f32`
3 234×	`lower-fma.f64`
3 054×	`lower-*.f32`
3 036×	`lower-*.f64`
1 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	475
0	97	442
1	213	428
2	540	416
3	1694	393
4	5332	386
0	8090	377

Stop Event

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

Calls

Call 1

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

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

localize600.0ms (3.7%)

Memory

25.3MiB live, 571.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.1%	(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n))
✓	accuracy	79.9%	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓	accuracy	71.7%	(/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	accuracy	42.0%	(-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
✓	accuracy	99.8%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
✓	accuracy	90.9%	(/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i)
✓	accuracy	79.9%	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓	accuracy	54.9%	(-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n)
✓	accuracy	99.7%	(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
✓	accuracy	89.3%	(.f64 i (.f64 n n))
✓	accuracy	74.6%	(fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)
✓	accuracy	51.1%	#s(approx (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
✓	accuracy	100.0%	(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
✓	accuracy	99.9%	(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
✓	accuracy	72.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
✓	accuracy	62.6%	#s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
✓	accuracy	100.0%	(expm1.f64 i)
✓	accuracy	99.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
✓	accuracy	89.9%	(/.f64 (*.f64 n (expm1.f64 i)) i)
✓	accuracy	72.5%	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))

Samples

358.0ms	134×	1	valid
94.0ms	63×	2	valid
21.0ms	55×	0	valid
17.0ms	3×	5	exit
0.0ms	1×	1	exit

Compiler

Compiled 417 to 54 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-pow: 102.0ms (42.8% of total)

ival-div: 44.0ms (18.5% of total)

ival-mult: 37.0ms (15.5% of total)

adjust: 21.0ms (8.8% of total)

ival-sub: 16.0ms (6.7% of total)

ival-add: 10.0ms (4.2% of total)

ival-neg: 5.0ms (2.1% of total)

ival-expm1: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series61.0ms (0.4%)

Memory

-31.2MiB live, 65.3MiB allocated

Counts

23 → 504

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))>
#<alt #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))>
#<alt (/.f64 (*.f64 n (expm1.f64 i)) i)>
#<alt (*.f64 n (expm1.f64 i))>
#<alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))>
#<alt #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))>
#<alt (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))>
#<alt (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))>
#<alt (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)>
#<alt (.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))>
#<alt #s(approx (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))>
#<alt (.f64 i (.f64 n n))>
#<alt (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64))>
#<alt (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))>
#<alt (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i)>
#<alt (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n)>
#<alt (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))>
#<alt (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i)))>
#<alt (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) n) n)>
#<alt (expm1.f64 i)>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 n n))>
#<alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)>

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

Calls

126 calls:

Time	Variable		Point	Expression
17.0ms	n	@	-inf	(* n (+ (* 50 i) 100))
5.0ms	i	@	-inf	(* n (+ (* 50 i) 100))
4.0ms	i	@	-inf	(/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n))
1.0ms	n	@	0	(/ (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/ (/ 1 n) n))
1.0ms	i	@	0	(+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n)

simplify380.0ms (2.3%)

Memory

13.2MiB live, 486.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 790×	`lower-fma.f64`
7 790×	`lower-fma.f32`
6 358×	`lower-*.f64`
6 358×	`lower-*.f32`
5 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1098	15076
1	3650	13967
0	8124	13000

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 495

Calls

Call 1

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

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

rewrite449.0ms (2.7%)

Memory

20.2MiB live, 366.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 682×	`lower-/.f32`
4 660×	`lower-/.f64`
3 486×	`lower-*.f32`
3 468×	`lower-*.f64`
2 902×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	351
0	95	322
1	423	302
2	3690	294
0	8730	269

Stop Event

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

Counts

23 → 832

Calls

Call 1

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

Outputs
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (/.f64 (expm1.f64 i) i))))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 n (/.f64 (expm1.f64 i) i))) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 i) i)))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 n (expm1.f64 i)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 n (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 n (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(.f64 (.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 n (expm1.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 n (expm1.f64 i))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 n (expm1.f64 i))) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 n (exp.f64 i)) (neg.f64 n))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(fma.f64 n (exp.f64 i) (neg.f64 n))
(fma.f64 (exp.f64 i) n (neg.f64 n))
(/.f64 (.f64 n (expm1.f64 (.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) n) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (.f64 n (expm1.f64 (.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) n)) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) n)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 n (expm1.f64 i))
(*.f64 (expm1.f64 i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
#s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(+.f64 (.f64 #s(literal 100 binary64) n) (.f64 n (*.f64 i #s(literal 50 binary64))))
(+.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 #s(literal 100 binary64) n (.f64 n (.f64 i #s(literal 50 binary64))))
(fma.f64 i (.f64 #s(literal 50 binary64) n) (.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (.f64 n (.f64 i #s(literal 50 binary64))))
(fma.f64 n (.f64 i #s(literal 50 binary64)) (.f64 #s(literal 100 binary64) n))
(fma.f64 #s(literal 50 binary64) (.f64 i n) (.f64 #s(literal 100 binary64) n))
(fma.f64 (.f64 i #s(literal 50 binary64)) n (.f64 #s(literal 100 binary64) n))
(fma.f64 (.f64 i n) #s(literal 50 binary64) (.f64 #s(literal 100 binary64) n))
(fma.f64 (.f64 n #s(literal 50 binary64)) i (.f64 #s(literal 100 binary64) n))
(/.f64 (fma.f64 (.f64 n (.f64 n n)) (.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1000000 binary64))) (fma.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (.f64 n (.f64 i #s(literal 50 binary64))) (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (.f64 #s(literal 100 binary64) n)) (.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))))
(/.f64 (-.f64 (.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (.f64 n (.f64 i #s(literal 50 binary64)))) (.f64 (.f64 #s(literal 100 binary64) n) (.f64 #s(literal 100 binary64) n))) (-.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))
(/.f64 (.f64 n (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64))) (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (*.f64 i #s(literal 5000 binary64))))
(/.f64 (.f64 n (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64))) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)) n) (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (*.f64 i #s(literal 5000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 n (.f64 n n)) (.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1000000 binary64)))) (neg.f64 (fma.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (.f64 n (.f64 i #s(literal 50 binary64))) (-.f64 (.f64 (.f64 #s(literal 100 binary64) n) (.f64 #s(literal 100 binary64) n)) (.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (.f64 n (.f64 i #s(literal 50 binary64)))) (.f64 (.f64 #s(literal 100 binary64) n) (.f64 #s(literal 100 binary64) n)))) (neg.f64 (-.f64 (.f64 n (.f64 i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))))
(/.f64 (neg.f64 (.f64 n (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (*.f64 i #s(literal 5000 binary64)))))
(/.f64 (neg.f64 (.f64 n (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)))) (neg.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)) n)) (neg.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (*.f64 i #s(literal 5000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n)) (neg.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) n)
(+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))
(+.f64 (*.f64 i #s(literal 50 binary64)) #s(literal 100 binary64))
(-.f64 (/.f64 (.f64 (.f64 i i) #s(literal 2500 binary64)) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))) (/.f64 #s(literal 10000 binary64) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))))
(fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64))) (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)) (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64))) (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)) (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)) (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)) (+.f64 #s(literal 10000 binary64) (-.f64 (.f64 (.f64 i i) #s(literal 2500 binary64)) (*.f64 i #s(literal 5000 binary64)))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64))) (neg.f64 (+.f64 #s(literal 10000 binary64) (-.f64 (.f64 (.f64 i i) #s(literal 2500 binary64)) (*.f64 i #s(literal 5000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64))) (neg.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))))
(/.f64 (-.f64 #s(literal 10000 binary64) (.f64 (.f64 i i) #s(literal 2500 binary64))) (-.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 10000 binary64) (.f64 (.f64 i i) #s(literal 2500 binary64)))) (neg.f64 (-.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (.f64 i #s(literal 5000 binary64))) (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)) (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 125000 binary64) #s(literal 1000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal 10000 binary64)) (*.f64 i #s(literal 5000 binary64)))))
(.f64 (fma.f64 (.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64))))
(+.f64 n (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(+.f64 (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) n)
(+.f64 (/.f64 (.f64 i (.f64 n n)) (.f64 n #s(literal 2 binary64))) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (.f64 n n))) n))
(+.f64 (+.f64 n (/.f64 (.f64 i (.f64 n n)) (.f64 n #s(literal 2 binary64)))) (/.f64 (.f64 i (.f64 n n)) (.f64 (*.f64 n n) #s(literal -2 binary64))))
(-.f64 (/.f64 (.f64 i (.f64 (.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (neg.f64 n))) (/.f64 (.f64 n n) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (neg.f64 n))))
(fma.f64 #s(literal 1 binary64) n (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 i (.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) n)
(fma.f64 i (.f64 (.f64 n n) (/.f64 #s(literal 1/2 binary64) n)) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
(fma.f64 n #s(literal 1 binary64) (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 (.f64 n n) (.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) n)
(fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal 1/2 binary64) n)) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
(fma.f64 (.f64 i (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
(fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) n) (.f64 i (.f64 n n))) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (.f64 n n))) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 i (.f64 n n)) (fma.f64 (.f64 n n) (.f64 i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 i (*.f64 n n)) n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) n) (.f64 n n)) (.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 (.f64 i n) (.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) n)
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(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) n))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(expm1.f64 i)
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i)))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
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(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (-.f64 (exp.f64 i) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 n n) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 n n) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 n n) #s(literal -2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 n (neg.f64 n)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
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(pow.f64 (.f64 (.f64 n n) #s(literal -2 binary64)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) n))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)) (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 (.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(.f64 (pow.f64 (+.f64 (/.f64 (.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
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(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (/.f64 (.f64 i i) (.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 i i) (.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 (/.f64 (.f64 i i) (.f64 n n)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))

eval428.0ms (2.6%)

Memory: -4.3MiB live, 225.5MiB allocated
Compiler: Compiled 42 836 to 4 012 computations (90.6% saved)

prune255.0ms (1.6%)

Memory

-35.8MiB live, 268.6MiB allocated

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	1 368	18	1 386
Fresh	11	31	42
Picked	2	3	5
Done	0	3	3
Total	1 381	55	1 436

Accuracy

99.9%

Counts

1 436 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.9%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	29.7%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	29.4%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	29.7%	(*.f64 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
	24.4%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	24.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
	24.9%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
▶	21.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	18.4%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) i) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	12.7%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (.f64 n i)) i) (.f64 i (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (.f64 n n))))
	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 #s(literal -1 binary64) i)) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	20.0%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
	29.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
	27.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
	14.4%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	17.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (.f64 i n)) (*.f64 i i)))
	16.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
	13.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	11.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	16.8%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 i n)))
	43.1%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx ( n (log (+ 1 (/ i n)))) (fma.f64 i (.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i))) (/.f64 i n)))
	46.0%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	15.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
	12.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
▶	29.4%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/ (/ 1 n) n)) (.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
	49.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
✓	68.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	51.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
▶	54.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
	52.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
✓	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
	51.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
	2.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
	10.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -100 binary64) n) (expm1.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) (.f64 n (.f64 n n))) (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 n (.f64 (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i))) (.f64 (.f64 #s(literal -100 binary64) n) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i)) i)) (neg.f64 i)))
✓	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	47.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
	12.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i))
	14.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
	51.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
	49.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
▶	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
	68.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
	14.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
✓	47.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	54.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
	52.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
	52.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
	54.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
✓	51.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
▶	10.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))

Compiler

Compiled 2 258 to 1 321 computations (41.5% saved)

simplify278.0ms (1.7%)

Memory

40.4MiB live, 392.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) n) n)
✓	cost-diff	1280	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i)))
✓	cost-diff	2048	(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	cost-diff	0	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓	cost-diff	0	(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
✓	cost-diff	128	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
✓	cost-diff	704	(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))
✓	cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n)))
✓	cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
✓	cost-diff	320	(fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 n i)))
✓	cost-diff	320	(fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i)))))
✓	cost-diff	0	(.f64 #s(literal 50 binary64) (.f64 n i))
✓	cost-diff	0	#s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))
✓	cost-diff	0	#s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i))))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
✓	cost-diff	0	(*.f64 n (expm1.f64 i))
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) i)
✓	cost-diff	0	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i)))
✓	cost-diff	0	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))

Rules

11 162×	`lower-fma.f32`
11 154×	`lower-fma.f64`
3 608×	`lower-*.f32`
3 590×	`lower-*.f64`
2 424×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	466
0	88	440
1	172	439
2	360	432
3	719	432
4	1220	427
5	2552	425
6	4459	425
7	7282	425
0	8528	406

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (2.3%)

Memory

-20.5MiB live, 616.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (*.f64 n i))
✓	accuracy	79.9%	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓	accuracy	71.7%	(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓	accuracy	36.3%	(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i)))
✓	accuracy	100.0%	(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
✓	accuracy	99.8%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
✓	accuracy	79.9%	(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓	accuracy	49.6%	(-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))
✓	accuracy	99.7%	(.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))
✓	accuracy	99.2%	(.f64 #s(literal 1/24 binary64) (.f64 n i))
✓	accuracy	72.5%	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n)))
✓	accuracy	69.5%	#s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))
✓	accuracy	99.6%	(.f64 #s(literal 50 binary64) (.f64 n i))
✓	accuracy	72.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
✓	accuracy	62.6%	#s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i))))
✓	accuracy	49.6%	#s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))
✓	accuracy	100.0%	(*.f64 n (expm1.f64 i))
✓	accuracy	100.0%	(expm1.f64 i)
✓	accuracy	90.1%	(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i)))
✓	accuracy	72.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))

Samples

165.0ms	147×	1	valid
73.0ms	49×	2	valid
39.0ms	5×	5	exit
21.0ms	53×	0	valid
3.0ms	1×	3	valid
0.0ms	1×	1	exit

Compiler

Compiled 371 to 51 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-pow: 96.0ms (39.1% of total)

ival-div: 50.0ms (20.4% of total)

ival-mult: 37.0ms (15.1% of total)

adjust: 21.0ms (8.6% of total)

const: 16.0ms (6.5% of total)

ival-add: 14.0ms (5.7% of total)

ival-expm1: 6.0ms (2.4% of total)

ival-sub: 5.0ms (2% of total)

exact: 1.0ms (0.4% of total)

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

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

series30.0ms (0.2%)

Memory

19.0MiB live, 58.4MiB allocated

Counts

25 → 564

Calls

Call 1

Inputs
#<alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))>
#<alt (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i)))>
#<alt (/.f64 #s(literal 100 binary64) i)>
#<alt (*.f64 n (expm1.f64 i))>
#<alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))>
#<alt #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i))))>
#<alt #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))>
#<alt (.f64 #s(literal 50 binary64) (.f64 n i))>
#<alt (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i)))))>
#<alt (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 n i)))>
#<alt (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))>
#<alt #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n)))>
#<alt (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))>
#<alt (.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))>
#<alt (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))>
#<alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)>
#<alt (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))>
#<alt (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (*.f64 n i)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) n) n)>
#<alt (.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))>
#<alt (expm1.f64 i)>
#<alt #s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 n i))>
#<alt (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 n i))>

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

Calls

141 calls:

Time	Variable		Point	Expression
7.0ms	n	@	inf	(* 1/24 (* n i))
1.0ms	n	@	inf	(+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i)))))
1.0ms	n	@	0	(+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i)))))
1.0ms	n	@	-inf	(+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i)))))
0.0ms	i	@	inf	(* 50 (* n i))

simplify391.0ms (2.4%)

Memory

3.6MiB live, 637.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 234×	`lower-fma.f64`
11 234×	`lower-fma.f32`
7 060×	`lower-*.f64`
7 060×	`lower-*.f32`
5 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	874	14004
1	2817	13006
0	8269	11946

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 559

Calls

Call 1

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

rewrite407.0ms (2.5%)

Memory

-21.7MiB live, 380.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 832×	`lower-fma.f32`
4 824×	`lower-fma.f64`
4 792×	`lower-/.f32`
4 776×	`lower-/.f64`
4 180×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	382
0	88	375
1	366	369
2	3053	369
0	9523	354

Stop Event

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

Counts

25 → 664

Calls

Call 1

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

Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 n (expm1.f64 i)) (.f64 i #s(literal 1/100 binary64))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) n) i)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 i))) (neg.f64 i)))
(fma.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i)))
(fma.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i) (.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 i))) (neg.f64 i)))
(neg.f64 (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))))))
(/.f64 (.f64 n (expm1.f64 i)) (.f64 i #s(literal 1/100 binary64)))
(/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 i))) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 n (expm1.f64 i))) (neg.f64 (.f64 i #s(literal 1/100 binary64))))
(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 1 binary64)) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)) i)
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 n (expm1.f64 i))) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 n (expm1.f64 i)))) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i)) (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (exp.f64 i)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) n) i)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) n) i))) (.f64 (.f64 (exp.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) n) i))))))
(pow.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 100 binary64) (/.f64 (.f64 n (expm1.f64 i)) i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 n (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64))))
(.f64 n (.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(.f64 n (.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(.f64 n (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i)))
(.f64 (expm1.f64 i) (/.f64 (.f64 #s(literal 100 binary64) n) i))
(.f64 (.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(.f64 (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) n) i) (expm1.f64 i))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i)) n)
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/100 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -100 binary64) i))
(/.f64 #s(literal 100 binary64) i)
(/.f64 #s(literal 100 binary64) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i #s(literal 1/100 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 i #s(literal 1/100 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 i #s(literal 1/100 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -100 binary64) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (neg.f64 (neg.f64 i))))
(pow.f64 (*.f64 i #s(literal 1/100 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 i #s(literal 1/100 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
(+.f64 (.f64 n (exp.f64 i)) (.f64 n #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(fma.f64 n (exp.f64 i) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (exp.f64 i) n (neg.f64 n))
(/.f64 (.f64 n (expm1.f64 (.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) n) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (.f64 n (expm1.f64 (.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) n)) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) n)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (+.f64 (pow.f64 (.f64 n (exp.f64 i)) #s(literal 3 binary64)) (pow.f64 (.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 n (exp.f64 i)) (.f64 n (exp.f64 i)) (-.f64 (.f64 (.f64 n #s(literal -1 binary64)) (.f64 n #s(literal -1 binary64))) (.f64 (.f64 n (exp.f64 i)) (.f64 n #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 i) n) #s(literal 3 binary64)) (neg.f64 (.f64 n (.f64 n n)))) (fma.f64 (.f64 (exp.f64 i) n) (.f64 (exp.f64 i) n) (-.f64 (.f64 n n) (.f64 (.f64 (exp.f64 i) n) (neg.f64 n)))))
(*.f64 n (expm1.f64 i))
(*.f64 (expm1.f64 i) n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 i (.f64 n #s(literal 50 binary64))))))
#s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 i (.f64 n #s(literal 50 binary64)))))
#s(approx (* n (+ (* 50 i) 100)) (.f64 i (.f64 n #s(literal 50 binary64))))
(.f64 i (.f64 n #s(literal 50 binary64)))
(.f64 n (.f64 i #s(literal 50 binary64)))
(.f64 #s(literal 50 binary64) (.f64 i n))
(.f64 (.f64 i #s(literal 50 binary64)) n)
(.f64 (.f64 i n) #s(literal 50 binary64))
(.f64 (.f64 n #s(literal 50 binary64)) i)
(+.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 n #s(literal 1/2 binary64)))
(+.f64 (.f64 n #s(literal 1/2 binary64)) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (*.f64 n #s(literal 1/2 binary64))))
(+.f64 (fma.f64 n #s(literal 1/2 binary64) (.f64 (.f64 i n) #s(literal 1/6 binary64))) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i)))
(-.f64 (/.f64 (.f64 (.f64 n n) #s(literal 1/4 binary64)) (-.f64 (.f64 n #s(literal 1/2 binary64)) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))))) (/.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (-.f64 (.f64 n #s(literal 1/2 binary64)) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (*.f64 n #s(literal 1/6 binary64)))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 n #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 n n) #s(literal 1/4 binary64)) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))))
(fma.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64)))
(fma.f64 i (.f64 n #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (*.f64 n #s(literal 1/6 binary64)))))
(fma.f64 n (.f64 #s(literal 1/6 binary64) i) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(fma.f64 (.f64 i n) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) n (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (*.f64 n #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 i n) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) i (*.f64 n #s(literal 1/2 binary64)))
(fma.f64 (.f64 n #s(literal 1/6 binary64)) i (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(fma.f64 (.f64 i #s(literal 1/6 binary64)) n (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 n #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 n #s(literal 1/2 binary64))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n (.f64 n n)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 n n) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (*.f64 i i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 n #s(literal 1/2 binary64))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n (.f64 n n)) #s(literal 1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 n n) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (*.f64 i i)))))))
(/.f64 (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n (.f64 n n)) #s(literal 1/8 binary64))) (fma.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (.f64 n #s(literal 1/2 binary64))) (.f64 (.f64 n n) #s(literal 1/4 binary64))))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 i #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 i i)) (.f64 #s(literal -1 binary64) (exp.f64 i)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
#s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(.f64 i (.f64 n #s(literal 1/24 binary64)))
(.f64 n (.f64 i #s(literal 1/24 binary64)))
(.f64 (.f64 i n) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 i n))
(.f64 (.f64 n #s(literal 1/24 binary64)) i)
(.f64 (.f64 #s(literal 1/24 binary64) i) n)
(+.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (*.f64 i n) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))) (/.f64 (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i))) (-.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))))
(fma.f64 i (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 i (.f64 n #s(literal 1/6 binary64)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(fma.f64 n (.f64 #s(literal 1/6 binary64) i) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(fma.f64 (.f64 i n) #s(literal 1/6 binary64) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(fma.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 i n) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 i n) i) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) i (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 (.f64 n #s(literal 1/6 binary64)) i (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(fma.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 i i) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 (.f64 i (.f64 i n)) #s(literal 1/24 binary64) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 (.f64 i #s(literal 1/24 binary64)) (.f64 i n) (.f64 (.f64 i n) #s(literal 1/6 binary64)))
(fma.f64 (.f64 i #s(literal 1/6 binary64)) n (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))
(/.f64 (fma.f64 (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64)) (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64))) (.f64 i (.f64 i i)))) (fma.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i))) (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)))) (-.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i))))
(/.f64 (.f64 i (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64))) (.f64 (.f64 n n) #s(literal 1/36 binary64))))
(/.f64 (.f64 i (-.f64 (.f64 (.f64 n n) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)))) (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 i n))))
(/.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64))) i) (fma.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64))) (.f64 (.f64 n n) #s(literal 1/36 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64))) i) (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 i n))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64)) (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64))) (.f64 i (.f64 i i))))) (neg.f64 (fma.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i))) (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i))))) (neg.f64 (-.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) (*.f64 #s(literal 1/24 binary64) i)))))
(/.f64 (neg.f64 (.f64 i (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64))) (.f64 (.f64 n n) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 i (-.f64 (.f64 (.f64 n n) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64))))) (neg.f64 (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 i n)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64))) i)) (neg.f64 (fma.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64))) (.f64 (.f64 n n) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64))) i)) (neg.f64 (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 i n)))))
(/.f64 (fma.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 n (.f64 n n)) #s(literal 1/13824 binary64))) (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 n (.f64 n n)) #s(literal 1/216 binary64)) (.f64 i (.f64 i i)))) (fma.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (-.f64 (.f64 (.f64 (.f64 i n) #s(literal 1/6 binary64)) (.f64 (.f64 i n) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 i n) (.f64 #s(literal 1/24 binary64) i)) (.f64 (*.f64 i n) #s(literal 1/6 binary64))))))
(.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (*.f64 n #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (*.f64 n #s(literal 1/6 binary64))) i)
(exp.f64 (.f64 (log.f64 (.f64 i (neg.f64 n))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i n) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i n)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i n)))
(/.f64 #s(literal 1 binary64) (*.f64 i (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i n) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 i (neg.f64 n)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 i n) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (*.f64 i n))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (neg.f64 n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i n) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (/.f64 #s(literal -1 binary64) n))))
(/.f64 (/.f64 #s(literal -1 binary64) n) i)
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal -1 binary64) i) n)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))
(pow.f64 (*.f64 i (neg.f64 n)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 i n) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 i n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 i n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i n)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n))

eval167.0ms (1%)

Memory: 7.1MiB live, 154.5MiB allocated
Compiler: Compiled 38 274 to 3 593 computations (90.6% saved)

prune211.0ms (1.3%)

Memory

5.2MiB live, 175.1MiB allocated

Pruning

66 alts after pruning (56 fresh and 10 done)

	Pruned	Kept	Total
New	1 260	20	1 280
Fresh	8	36	44
Picked	1	4	5
Done	0	6	6
Total	1 269	66	1 335

Accuracy

99.9%

Counts

1 335 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.9%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	29.7%	(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
	29.4%	(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
	29.7%	(*.f64 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
	24.4%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	24.5%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
	24.9%	(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
	21.1%	(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓	21.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	21.0%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
	13.2%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	18.4%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) i) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	12.7%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (.f64 i n) (.f64 i #s(literal -1 binary64))) (.f64 i (*.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	18.0%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i (.f64 n (/.f64 #s(literal -1 binary64) n))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	17.8%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) n (.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	8.6%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 i (neg.f64 n) (.f64 (.f64 i n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (.f64 (.f64 i n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	12.7%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (.f64 n i)) i) (.f64 i (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	23.9%	(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (.f64 n n))))
	23.9%	(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 #s(literal -1 binary64) i)) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	20.0%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
	29.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
	27.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
	17.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (.f64 i n)) (*.f64 i i)))
	16.1%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
	13.3%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	11.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	16.8%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 i n)))
	43.1%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx ( n (log (+ 1 (/ i n)))) (fma.f64 i (.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i))) (/.f64 i n)))
	46.0%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
	15.7%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
	12.9%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
✓	29.4%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	12.6%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/ (/ 1 n) n)) (.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
	49.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
✓	68.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	12.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
	35.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
	34.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
	54.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
	52.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
	53.9%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
✓	37.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
	51.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
	2.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
	11.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 n (.f64 (expm1.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) #s(literal -100 binary64)) (/.f64 (.f64 #s(literal -100 binary64) (fma.f64 n (.f64 (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/2 binary64))) i)) (.f64 (.f64 n (.f64 n n)) (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i)) (neg.f64 i)))
✓	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	14.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
	47.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
	12.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i))
	51.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
	49.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
	68.9%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
✓	68.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
	50.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
	47.7%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
	68.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
	14.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
✓	47.3%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	54.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
	52.0%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
✓	51.6%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
	11.2%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
✓	10.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))

Compiler

Compiled 3 539 to 1 312 computations (62.9% saved)

regimes122.0ms (0.7%)

Memory

10.4MiB live, 48.7MiB allocated

Counts

104 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) 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 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) #s(literal 100 binary64)) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (.f64 i n)) (*.f64 i i)))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) (.f64 (neg.f64 i) n)) (*.f64 (neg.f64 i) i)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (.f64 n n))))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 #s(literal -1 binary64) i)) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 i (neg.f64 n) (.f64 (.f64 i n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (.f64 (.f64 i n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) i) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx ( n (log (+ 1 (/ i n)))) (fma.f64 i (.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (.f64 n i)) i) (.f64 i (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (.f64 i n) (.f64 i #s(literal -1 binary64))) (.f64 i (*.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) n (.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i (.f64 n (/.f64 #s(literal -1 binary64) n))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (.f64 (.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/ (/ 1 n) n)) (.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n #s(approx (log (+ 1 (/ i n))) (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n n) (.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (.f64 i i))) (/.f64 #s(literal -1/2 binary64) (.f64 i (.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 n (.f64 (expm1.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) #s(literal -100 binary64)) (/.f64 (.f64 #s(literal -100 binary64) (fma.f64 n (.f64 (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/2 binary64))) i)) (.f64 (.f64 n (.f64 n n)) (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i)) (neg.f64 i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -100 binary64) n) (expm1.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 100 binary64) (.f64 n (.f64 n n))) (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal 100 binary64) (.f64 n (.f64 (exp.f64 (.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i))) (.f64 (.f64 #s(literal -100 binary64) n) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i)) i)) (neg.f64 i)))

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

Calls

4 calls:

38.0ms	(*.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)))
27.0ms	n
27.0ms	i
24.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
89.4%	4	`i`
89.6%	3	`n`
96.4%	4	`(*.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)))`
96.4%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes117.0ms (0.7%)

Memory

-20.9MiB live, 72.0MiB allocated

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

39.0ms	(*.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)))
26.0ms	i
25.0ms	n
21.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
78.8%	3	`i`
78.0%	3	`n`
80.1%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.1%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes74.0ms (0.5%)

Memory

21.8MiB live, 98.2MiB allocated

Counts

94 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) 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 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) #s(literal 100 binary64)) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
(.f64 #s(literal 100 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (.f64 i n)) (*.f64 i i)))
(.f64 #s(literal 100 binary64) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) (.f64 (neg.f64 i) n)) (*.f64 (neg.f64 i) i)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (.f64 (/.f64 i n) n)) (/.f64 (.f64 i i) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (.f64 (/.f64 i n) n)) (.f64 (/.f64 i n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (.f64 n n))))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 #s(literal -1 binary64) i)) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (/.f64 #s(literal 1 binary64) i))) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 i (neg.f64 n) (.f64 (.f64 i n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (.f64 (.f64 i n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) i) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx ( n (log (+ 1 (/ i n)))) (fma.f64 i (.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (.f64 n i)) i) (.f64 i (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (.f64 i n) (.f64 i #s(literal -1 binary64))) (.f64 i (*.f64 i n))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) n (.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i (.f64 n (/.f64 #s(literal -1 binary64) n))) (*.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (.f64 (.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/ (/ 1 n) n)) (.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))

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

Calls

3 calls:

26.0ms

23.0ms

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

21.0ms

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

Results

Accuracy	Segments	Branch
80.1%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.1%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
79.7%	4	`i`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes32.0ms (0.2%)

Memory

-14.4MiB live, 28.0MiB allocated

Counts

58 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) 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 (/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) #s(literal 100 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) #s(literal 100 binary64)) i)
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

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

Calls

2 calls:

16.0ms

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

13.0ms

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

Results

Accuracy	Segments	Branch
80.1%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.1%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes26.0ms (0.2%)

Memory

-9.1MiB live, 30.5MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)

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

Calls

2 calls:

11.0ms

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

11.0ms

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

Results

Accuracy	Segments	Branch
80.1%	4	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
80.1%	4	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes51.0ms (0.3%)

Memory

17.6MiB live, 57.1MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/100 binary64)) (.f64 n (expm1.f64 i)))))

Outputs

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

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

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

Calls

4 calls:

13.0ms	n
13.0ms	i
12.0ms	(*.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)))
11.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
76.5%	3	`n`
74.7%	3	`i`
72.2%	2	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
72.2%	2	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes16.0ms (0.1%)

Memory

-19.7MiB live, 19.5MiB allocated

Counts

47 → 4

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
78.1%	4	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-19.7MiB live, 22.0MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
76.4%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
76.4%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes45.0ms (0.3%)

Memory

-16.3MiB live, 62.6MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 (.f64 n #s(literal 50 binary64)) i))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (*.f64 i #s(literal -1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (*.f64 n i)) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) #s(approx (+ (* (* i (* n n)) (+ (/ 1/2 n) (/ -1/2 (* n n)))) n) (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (* n (pow (+ (/ i n) 1) n)) 1) (fma.f64 n i n)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 (.f64 n i) #s(literal 50/3 binary64) (*.f64 n #s(literal 50 binary64)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 n i))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n i) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 #s(literal 100 binary64) n (.f64 i (fma.f64 i (fma.f64 n #s(literal 50/3 binary64) (.f64 (.f64 n i) #s(literal 25/6 binary64))) (.f64 n #s(literal 50 binary64)))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (fma.f64 n #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 n i))))) n))))
(.f64 #s(literal 100 binary64) (-.f64 (.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) #s(literal 100 binary64)) i))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n #s(approx (- (exp i) 1) (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n (- (exp i) 1)) 100) (.f64 i (fma.f64 n #s(literal 100 binary64) (.f64 i (fma.f64 n #s(literal 50 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))))))))) i))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (/ (- (neg (/ (pow (+ (/ i n) 1) n) i)) (neg (/ 1 i))) (neg n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)) (fma.f64 (.f64 i (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (/.f64 (-.f64 (.f64 (.f64 (.f64 i n) (.f64 i n)) #s(literal 1/576 binary64)) (.f64 (.f64 n n) #s(literal 1/36 binary64))) (-.f64 (.f64 i (.f64 n #s(literal 1/24 binary64))) (.f64 n #s(literal 1/6 binary64)))))) n))))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 #s(literal 1 binary64) (.f64 n i))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)) i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (/.f64 (-.f64 (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64))) (.f64 i i))) (.f64 (.f64 n n) #s(literal 1/4 binary64))) (-.f64 (.f64 i (fma.f64 (.f64 i n) #s(literal 1/24 binary64) (.f64 n #s(literal 1/6 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) n))))

Outputs

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

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

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

Calls

4 calls:

12.0ms	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))
9.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
57.9%	3	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
57.9%	3	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
60.0%	3	`i`
62.6%	3	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes20.0ms (0.1%)

Memory

-5.6MiB live, 34.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	i
5.0ms	n
4.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
4.0ms	(*.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
54.0%	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)))`
54.0%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
54.0%	1	`i`
54.0%	1	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes19.0ms (0.1%)

Memory

-12.8MiB live, 28.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	i
5.0ms	n
5.0ms	(*.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)))
4.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
53.9%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
53.9%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
53.9%	1	`i`
53.9%	1	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes15.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`i`
52.0%	1	`n`
52.0%	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)))`
52.0%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes11.0ms (0.1%)

Memory

-20.0MiB live, 19.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.3%	2	`i`
51.6%	1	`n`
51.6%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
51.6%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`n`
51.6%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
51.6%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
51.6%	1	`i`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes8.0ms (0%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.6%	2	`i`
47.3%	1	`n`
47.3%	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)))`
47.3%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes4.0ms (0%)

Memory

-33.3MiB live, 6.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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
47.3%	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)))`
47.3%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
47.3%	1	`i`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.5430730288367114e-289	2.784366720730125e-279
0.0ms	-2.64855169810725e-7	-9.61272233609325e-18

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch86.0ms (0.5%)

Memory

13.0MiB live, 96.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	7.623537236478959e+62	4.581224381885197e+63
53.0ms	4.473294608061723e-183	1.8816275294070512e-180

Samples

61.0ms	184×	1	valid
8.0ms	19×	2	valid
2.0ms	38×	0	invalid
2.0ms	21×	0	valid
0.0ms	1×	1	exit

Compiler

Compiled 516 to 321 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 45.0ms (70.4% of total)

ival-div: 7.0ms (11% of total)

adjust: 4.0ms (6.3% of total)

ival-mult: 3.0ms (4.7% of total)

ival-add: 2.0ms (3.1% of total)

ival-sub: 2.0ms (3.1% 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

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.759425933544247e-292
0.0ms	-9.337223427657803e-196	0.0

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.759425933544247e-292
0.0ms	-9.337223427657803e-196	0.0

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.759425933544247e-292
0.0ms	-9.337223427657803e-196	0.0

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch57.0ms (0.3%)

Memory

-4.3MiB live, 74.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.0012732776733159546	0.0013921569590217022
48.0ms	-1.6385869759418074e-32	-2.892879131430677e-38

Samples

20.0ms	47×	2	valid
20.0ms	101×	1	valid
4.0ms	68×	0	invalid
1.0ms	12×	0	valid

Compiler

Compiled 308 to 203 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 21.0ms (55% of total)

ival-div: 6.0ms (15.7% of total)

adjust: 4.0ms (10.5% of total)

ival-sub: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch95.0ms (0.6%)

Memory

-3.8MiB live, 116.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0012732776733159546	0.0013921569590217022
48.0ms	-2.042321695453279e-202	-5.257898174800207e-209
41.0ms	-1.775108908024558e+79	-3.880570610021471e+73

Samples

34.0ms	90×	2	valid
29.0ms	103×	1	valid
7.0ms	95×	0	valid
7.0ms	117×	0	invalid

Compiler

Compiled 506 to 329 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 37.0ms (58.2% of total)

ival-div: 9.0ms (14.1% of total)

adjust: 5.0ms (7.9% of total)

ival-mult: 5.0ms (7.9% of total)

ival-sub: 4.0ms (6.3% of total)

ival-add: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Memory

-10.6MiB live, 68.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0012732776733159546	0.0013921569590217022
47.0ms	-1.4854569089319506e-15	-8.088001985987022e-23

Samples

20.0ms	103×	1	valid
17.0ms	36×	2	valid
4.0ms	46×	0	invalid
0.0ms	5×	0	valid

Compiler

Compiled 290 to 185 computations (36.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 18.0ms (52% of total)

ival-div: 5.0ms (14.5% of total)

adjust: 4.0ms (11.6% of total)

ival-mult: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

ival-add: 2.0ms (5.8% 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

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0012732776733159546	0.0013921569590217022
1.0ms	-1.4854569089319506e-15	-8.088001985987022e-23

Compiler

Compiled 290 to 185 computations (36.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0012732776733159546	0.0013921569590217022
1.0ms	-1.4854569089319506e-15	-8.088001985987022e-23

Compiler

Compiled 290 to 185 computations (36.2% saved)

bsearch67.0ms (0.4%)

Memory

17.2MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.4424310881189474e-130	3.323365352986137e-129
37.0ms	-1.4704457235956094e-130	-1.6103325850376896e-132

Samples

27.0ms	71×	2	valid
19.0ms	116×	1	valid
5.0ms	88×	0	invalid
1.0ms	21×	0	valid

Compiler

Compiled 441 to 287 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 20.0ms (46.6% of total)

ival-div: 7.0ms (16.3% of total)

ival-add: 5.0ms (11.7% of total)

adjust: 5.0ms (11.7% of total)

ival-sub: 3.0ms (7% of total)

ival-mult: 3.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Memory

-1.4MiB live, 38.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	1.4466144300687186e-134	6.253808163890466e-124

Samples

46.0ms	155×	1	valid
1.0ms	5×	2	valid
1.0ms	23×	0	invalid
0.0ms	2×	1	exit

Compiler

Compiled 250 to 155 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 28.0ms (64.6% of total)

ival-div: 6.0ms (13.8% of total)

adjust: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

ival-sub: 2.0ms (4.6% of total)

ival-mult: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.7033345382544266e-46	6.65655500255839e-46

Samples

19.0ms	76×	1	valid
2.0ms	4×	2	valid
1.0ms	16×	0	invalid
0.0ms	1×	1	exit

Compiler

Compiled 110 to 70 computations (36.4% saved)

Precisions

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

ival-pow: 12.0ms (63.8% of total)

ival-div: 3.0ms (15.9% of total)

adjust: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-mult: 1.0ms (5.3% 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

-20.1MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
30×	`unsub-neg_binary64`
26×	`neg-mul-1_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1404
1	245	1404
2	263	1404
3	277	1404
4	299	1404
5	332	1404
6	334	1404

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 -944473296573929/4722366482869645213696 binary64)) (/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i 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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 i #s(literal 6307117909800923/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n (fma.f64 (/.f64 (.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))) (if (<=.f64 i #s(literal 4500000000000000169016967409089931835539902056519993243281129472 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i))) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) 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 -2630067950774187/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -2630067950774187/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -2630067950774187/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) (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 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.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 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))

Outputs
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(if (<=.f64 n #s(literal -2076918743413931/649037107316853453566312041152512 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) (if (<=.f64 n #s(literal 1498797955988901/1152921504606846976 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (expm1.f64 i))) i))))
(if (<=.f64 n #s(literal -2076918743413931/649037107316853453566312041152512 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i)))) (if (<=.f64 n #s(literal 1498797955988901/1152921504606846976 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) (.f64 n (expm1.f64 i))))))
(if (<=.f64 n #s(literal -2076918743413931/649037107316853453566312041152512 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) (if (<=.f64 n #s(literal 1498797955988901/1152921504606846976 binary64)) (.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)))))
(if (<=.f64 n #s(literal -399583814440447/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 4495317912455029/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))))
(if (<=.f64 n #s(literal -399583814440447/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 4495317912455029/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) n) i)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))))
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ ( n (- (exp i) 1)) i) (fma.f64 i #s(approx (+ (* n 1/2) (* i (+ (* n 1/6) (* 1/24 (* n i))))) (.f64 n (.f64 #s(literal 1/24 binary64) (*.f64 i i)))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 i (.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (.f64 n #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal 2029136557705395/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 n i)))))
(if (<=.f64 i #s(literal 2029136557705395/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 100 binary64) i) #s(approx ( n (- (exp i) 1)) (*.f64 i n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal 8484632873687469/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 n i))))))
(if (<=.f64 i #s(literal 8484632873687469/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) #s(approx (* n (+ (* 50 i) 100)) (.f64 #s(literal 50 binary64) (.f64 i n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))

soundness1.3s (8.2%)

Memory

19.4MiB live, 215.2MiB allocated

Rules

11 234×	`lower-fma.f64`
11 234×	`lower-fma.f32`
11 188×	`lower-fma.f64`
11 188×	`lower-fma.f32`
9 420×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1081	14805
1	3425	13624
0	8202	12578
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38
0	56	382
0	88	375
1	366	369
2	3053	369
0	9523	354
0	38	234
0	67	198
1	268	192
2	2210	192
0	8421	192
0	515	3831
1	1624	3489
2	5523	3268
0	8137	2980
0	874	14004
1	2817	13006
0	8269	11946
0	1098	15076
1	3650	13967
0	8124	13000

Stop Event

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

Compiler

Compiled 1 594 to 645 computations (59.5% saved)

preprocess111.0ms (0.7%)

Memory: -6.7MiB live, 82.2MiB allocated
Compiler: Compiled 1 656 to 346 computations (79.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze197.0ms (1.2%)

sample4.8s (29.6%)

preprocess270.0ms (1.7%)

explain403.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify158.0ms (1%)

localize114.0ms (0.7%)

series22.0ms (0.1%)

simplify375.0ms (2.3%)

rewrite580.0ms (3.6%)

eval223.0ms (1.4%)

prune127.0ms (0.8%)

simplify225.0ms (1.4%)

localize269.0ms (1.6%)

series41.0ms (0.3%)

simplify428.0ms (2.6%)

rewrite529.0ms (3.2%)

eval285.0ms (1.7%)

prune244.0ms (1.5%)

simplify410.0ms (2.5%)

localize600.0ms (3.7%)

series61.0ms (0.4%)

simplify380.0ms (2.3%)

rewrite449.0ms (2.7%)

eval428.0ms (2.6%)

prune255.0ms (1.6%)

simplify278.0ms (1.7%)

localize377.0ms (2.3%)

series30.0ms (0.2%)

simplify391.0ms (2.4%)

rewrite407.0ms (2.5%)

eval167.0ms (1%)

prune211.0ms (1.3%)

regimes122.0ms (0.7%)

regimes117.0ms (0.7%)

regimes74.0ms (0.5%)

regimes32.0ms (0.2%)

regimes26.0ms (0.2%)

regimes51.0ms (0.3%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes45.0ms (0.3%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch86.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch57.0ms (0.3%)

bsearch95.0ms (0.6%)

bsearch51.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch67.0ms (0.4%)

bsearch59.0ms (0.4%)

bsearch27.0ms (0.2%)

simplify29.0ms (0.2%)

soundness1.3s (8.2%)

preprocess111.0ms (0.7%)

end0.0ms (0%)

Profiling