Metrics for Compound Interest

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze299.0ms (2.1%)

Memory

-9.3MiB live, 187.4MiB 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)

sample4.6s (32.5%)

Memory

-78.1MiB live, 4 676.6MiB allocated

Samples

2.2s	4 496×	1	valid
995.0ms	1 602×	2	valid
202.0ms	2 102×	0	valid
160.0ms	2 051×	0	invalid
46.0ms	56×	3	valid
3.0ms	13×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-pow: 1.8s (66.3% of total)

ival-div: 352.0ms (12.6% of total)

adjust: 195.0ms (7% of total)

ival-mult: 149.0ms (5.3% of total)

ival-add: 110.0ms (3.9% of total)

ival-sub: 110.0ms (3.9% of total)

exact: 10.0ms (0.4% of total)

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

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

Bogosity

explain366.0ms (2.6%)

Memory

-3.1MiB live, 488.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
181	0	-	0	-	`(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))`
72	75	(-7.10185933782961e-227 1.7076737156350306e+163)	0	-	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`
38	0	-	2	(2.3491351619157256e-264 -1.1431080671710535e+57)	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
3	1	(-1.9998111250968393e+249 -5.613492567018075e-40)	3	(1.2866092991212769e-41 1.96244023776182e-178)	`(*.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	181	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	125	0
`/.f64`	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`	n/u	36	0
↳	`(/.f64 i n)`	underflow	36
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	22	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	35
↳	`(/.f64 i n)`	overflow	22
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	22
`*.f64`	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	194	0
-	32	30

Precision

0.8584070796460177

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	0
-	32	0	30

Precision?

0.8584070796460177

Recall?

1.0

Freqs

test

number	freq
0	30
1	123
2	67
3	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	276×	1	valid
74.0ms	156×	2	valid
32.0ms	74×	0	valid
12.0ms	6×	3	valid

Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-pow: 96.0ms (60.1% of total)

ival-sub: 22.0ms (13.8% of total)

ival-div: 16.0ms (10% of total)

adjust: 12.0ms (7.5% of total)

ival-mult: 6.0ms (3.8% of total)

ival-add: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

preprocess193.0ms (1.4%)

Memory

27.4MiB live, 183.1MiB 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)))

Compiler

Compiled 17 to 10 computations (41.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.6%	(*.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)

simplify154.0ms (1.1%)

Memory

-18.0MiB live, 109.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize126.0ms (0.9%)

Memory

-8.2MiB live, 226.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.18333236518261117	(*.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	8.769244981577938	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy	16.796110251316698	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	41.036761877562355	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))

Samples

45.0ms	138×	1	valid
42.0ms	78×	2	valid
3.0ms	37×	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: 79.0ms

ival-pow: 49.0ms (61.9% of total)

ival-div: 10.0ms (12.6% of total)

adjust: 6.0ms (7.6% of total)

ival-mult: 6.0ms (7.6% of total)

ival-sub: 5.0ms (6.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

25.2MiB live, 63.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt n (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
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Calls

24 calls:

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

simplify474.0ms (3.3%)

Memory

-16.1MiB live, 475.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

rewrite303.0ms (2.1%)

Memory

9.6MiB live, 432.7MiB allocated

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

eval93.0ms (0.6%)

Memory: -20.0MiB live, 190.1MiB allocated
Compiler: Compiled 18 586 to 2 039 computations (89% saved)

prune149.0ms (1%)

Memory

12.2MiB live, 218.8MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	568	24	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	569	24	593

Accuracy

99.8%

Counts

593 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.6%	(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)))
▶	27.9%	(*.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)
	27.8%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	20.7%	(*.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)))
	20.7%	(.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)))
▶	17.7%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
	11.8%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	11.7%	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)))
	16.5%	(*.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)))
	19.3%	(*.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)))
	37.2%	(.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)))
	11.8%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)))
	60.1%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	50.6%	(.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)))
▶	50.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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)))
	71.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	10.8%	(.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))))
	50.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) (.f64 n #s(literal 100 binary64))))
	70.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	10.8%	#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))
	9.2%	#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)))))
▶	46.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))

Compiler

Compiled 1 038 to 626 computations (39.7% saved)

simplify247.0ms (1.7%)

Memory

20.3MiB live, 284.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n)))
cost-diff	128	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
cost-diff	960	(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n)))
cost-diff	2176	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (*.f64 n n)))))
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff	0	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)
cost-diff	0	(*.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)
cost-diff	0	(.f64 n (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))))
cost-diff	0	(fma.f64 i (.f64 n (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)
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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)))
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

11 008×	`lower-fma.f32`
11 002×	`lower-fma.f64`
5 362×	`lower-*.f32`
5 344×	`lower-*.f64`
2 680×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	437
0	86	406
1	173	397
2	467	393
3	1864	393
0	8777	393

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

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

localize372.0ms (2.6%)

Memory

-22.4MiB live, 494.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.936024587240758	(/.f64 i (*.f64 n n))
accuracy	16.796110251316705	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	21.884865242585462	(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n)))
accuracy	23.939060216589986	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (*.f64 n n)))))
accuracy	0.08203125	(*.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)
accuracy	0.125	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)
accuracy	16.796110251316705	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	39.891581269004575	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
accuracy	0.33605879196701716	(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy	3.1538044477313814	(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)))
accuracy	5.710184819065773	(.f64 n (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))))
accuracy	26.33701760772728	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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))
accuracy	0	(*.f64 n #s(literal 100 binary64))
accuracy	31.03651315165174	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
accuracy	0.15208236518261115	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
accuracy	5.326930737334697	(log1p.f64 (/.f64 i n))
accuracy	8.532483662271765	(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
accuracy	8.58218936590267	(*.f64 n (log1p.f64 (/.f64 i n)))

Samples

132.0ms	75×	2	valid
114.0ms	136×	1	valid
11.0ms	4×	5	exit
9.0ms	14×	0	invalid
8.0ms	23×	0	valid
5.0ms	3×	3	valid
0.0ms	1×	1	exit

Compiler

Compiled 410 to 48 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-pow: 53.0ms (23% of total)

adjust: 47.0ms (20.4% of total)

ival-mult: 32.0ms (13.9% of total)

ival-div: 32.0ms (13.9% of total)

ival-sub: 23.0ms (10% of total)

ival-add: 16.0ms (6.9% of total)

ival-expm1: 10.0ms (4.3% of total)

const: 9.0ms (3.9% of total)

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

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series73.0ms (0.5%)

Memory

6.4MiB live, 118.5MiB allocated

Counts

22 → 504

Calls

Call 1

Inputs
#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (patch (.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (.f64 n (log1p.f64 (/.f64 i n))) (patch (.f64 n (log1p.f64 (/.f64 i n))) #<representation binary64>) () ())
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) (patch #s(approx ( 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (.f64 n #s(literal 100 binary64)) (patch (.f64 n #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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))) (patch (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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)) (patch #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n (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)) #<representation binary64>) () ())
#s(alt (fma.f64 i (.f64 n (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) (patch (fma.f64 i (.f64 n (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) #<representation binary64>) () ())
#s(alt (.f64 n (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)))) (patch (.f64 n (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)))) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))) (patch (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (patch (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n)))))) (patch (.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n)))))) #<representation binary64>) () ())
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#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())
#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())

Outputs
#s(alt (* n (+ (log i) (* -1 (log n)))) (taylor 0 n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) (taylor 0 n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
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#s(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) (taylor inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf n) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) (taylor inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) (taylor inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) (taylor -inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 i) (#s(alt (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* i (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))))) (taylor -inf i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))))) (taylor -inf i) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ i (pow n 2))) (taylor 0 n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) (pow n 2)) (taylor 0 n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) (pow n 2)) (taylor 0 n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) (pow n 2)) (taylor 0 n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 i)) (taylor inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))) (taylor inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 i)) (taylor -inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i))) (taylor -inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i))) (taylor -inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i))) (taylor -inf n) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf i) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor 0 n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ i (pow n 2)) (taylor -inf n) (#s(alt (/.f64 i (.f64 n n)) (patch (/.f64 i (.f64 n n)) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	n	@	0	(- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n)))
3.0ms	i	@	0	(/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg (* i (/ i (* n n)))))
3.0ms	i	@	inf	(+ (* i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n)
2.0ms	n	@	-inf	(* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n)
1.0ms	n	@	0	(/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg (* i (/ i (* n n)))))

simplify568.0ms (4%)

Memory

-13.0MiB live, 398.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 880×	`lower-fma.f64`
9 880×	`lower-fma.f32`
6 562×	`lower-+.f64`
6 562×	`lower-+.f32`
5 144×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1368	17219
1	4445	15835
0	8202	14727

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 496

Calls

Call 1

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

rewrite314.0ms (2.2%)

Memory

-7.1MiB live, 327.6MiB allocated

Rules

4 752×	`lower-/.f32`
4 734×	`lower-/.f64`
3 080×	`lower-*.f32`
3 060×	`lower-*.f64`
2 422×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	336
0	86	329
1	362	313
2	2964	307
0	8234	302

Stop Event

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

Counts

22 → 682

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

eval160.0ms (1.1%)

Memory: 48.4MiB live, 262.9MiB allocated
Compiler: Compiled 45 533 to 4 205 computations (90.8% saved)

prune342.0ms (2.4%)

Memory

-33.4MiB live, 411.3MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 205	31	1 236
Fresh	10	9	19
Picked	2	3	5
Done	0	0	0
Total	1 217	43	1 260

Accuracy

100.0%

Counts

1 260 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(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)))
✓	27.9%	(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
	12.2%	(.f64 (/.f64 (fma.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 100 binary64) #s(literal -100 binary64)) i) n)
	19.6%	(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
	18.9%	(.f64 (/.f64 (-.f64 (.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (.f64 (/.f64 (.f64 i i) (*.f64 n (neg.f64 n))) (neg.f64 n))) #s(literal 100 binary64))
	27.8%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	27.9%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) i) n)
	11.9%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (.f64 (.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
▶	46.0%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
	50.5%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 100 binary64) #s(literal 100 binary64))) n)
	50.6%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 i (.f64 #s(literal 100 binary64) (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 100 binary64))) n)
▶	73.5%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)
	20.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	20.7%	(.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 #s(literal 1 binary64) n) i (neg.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
	21.9%	(.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal -1 binary64) n) (/.f64 i n)) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
	14.6%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 i n)) (/.f64 (.f64 i i) (.f64 n n))))
	15.5%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
	11.8%	(.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)))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	37.2%	(.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)))
	60.1%	(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
	21.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg.f64 (/.f64 (.f64 i i) n))) (neg.f64 (.f64 i (/.f64 i (*.f64 n n))))))
	27.5%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	53.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
	30.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) (.f64 n n)))) n)))
	42.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 i #s(literal 1/3 binary64))) (.f64 n n)))) n)))
▶	41.1%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
	47.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
	46.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (*.f64 i #s(literal 1/3 binary64)) n)) n)))
	71.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	10.8%	(.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))))
	36.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	6.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (fma.f64 i (.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
	7.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (.f64 (.f64 i i) #s(literal 1/3 binary64)) n))))
	10.7%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (.f64 (.f64 n (.f64 i i)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))))
	53.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	14.7%	(.f64 #s(literal -100 binary64) (.f64 (/.f64 (/.f64 (-.f64 (.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (neg.f64 n)) (.f64 i i)) (*.f64 n n)))
	50.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 i (.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) (.f64 n #s(literal 100 binary64))))
▶	70.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	16.1%	#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))
✓	46.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	39.9%	#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg (* i (/ i (* n n)))))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (.f64 i (expm1.f64 i)))) (.f64 i i)))

Compiler

Compiled 1 757 to 1 072 computations (39% saved)

simplify266.0ms (1.9%)

Memory

29.6MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
cost-diff	1024	(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)))
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	#s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n))
cost-diff	0	(fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)
cost-diff	0	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))
cost-diff	0	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
cost-diff	0	(*.f64 i #s(literal 100 binary64))
cost-diff	0	#s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i)
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
cost-diff	0	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
cost-diff	0	(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
cost-diff	0	#s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
cost-diff	0	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)

Rules

11 088×	`lower-fma.f32`
11 076×	`lower-fma.f64`
3 020×	`lower-*.f32`
3 000×	`lower-*.f64`
2 268×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	486
0	96	485
1	195	484
2	442	481
3	1093	481
4	2368	461
5	5024	461
0	8071	446

Stop Event

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

Calls

Call 1

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

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

localize382.0ms (2.7%)

Memory

3.9MiB live, 205.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
accuracy	0.2569263250262488	(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
accuracy	16.796110251316698	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	35.50207952185278	(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)))
accuracy	0.00390625	(*.f64 n (expm1.f64 i))
accuracy	0.12517341452874398	(.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64))
accuracy	6.074250138492779	(/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
accuracy	16.827834676241135	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
accuracy	0.19921875	(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.3828125	(*.f64 i #s(literal 1/3 binary64))
accuracy	14.010693519240371	(/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)
accuracy	29.815381122174024	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))
accuracy	0	(*.f64 i #s(literal 100 binary64))
accuracy	0.08984375	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
accuracy	0.125	(/.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i)
accuracy	34.90655702015082	#s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))
accuracy	0.0234375	(*.f64 #s(literal 100 binary64) (expm1.f64 i))
accuracy	0.0859375	(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
accuracy	0.08984375	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)
accuracy	19.431878517844428	#s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))

Samples

176.0ms	135×	1	valid
124.0ms	79×	2	valid
13.0ms	37×	0	valid
7.0ms	3×	3	valid
3.0ms	1×	5	exit
0.0ms	1×	1	exit

Compiler

Compiled 360 to 57 computations (84.2% saved)

Precisions

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

ival-mult: 95.0ms (38.6% of total)

ival-pow: 53.0ms (21.5% of total)

ival-div: 31.0ms (12.6% of total)

adjust: 27.0ms (11% of total)

ival-add: 21.0ms (8.5% of total)

const: 10.0ms (4.1% of total)

ival-sub: 4.0ms (1.6% of total)

ival-expm1: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series61.0ms (0.4%)

Memory

-10.8MiB live, 30.4MiB allocated

Counts

24 → 516

Calls

Call 1

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

Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (* -1 (log n))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())

Calls

129 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms	i	@	0	(/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n)
1.0ms	i	@	-inf	(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms	i	@	inf	(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms	i	@	inf	(/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n)

simplify311.0ms (2.2%)

Memory

4.2MiB live, 325.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 584×	`lower-fma.f64`
10 584×	`lower-fma.f32`
6 976×	`lower-*.f64`
6 976×	`lower-*.f32`
4 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1080	14698
1	3581	13530
0	8273	12395

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 512

Calls

Call 1

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

rewrite253.0ms (1.8%)

Memory

-16.8MiB live, 369.3MiB allocated

Rules

4 302×	`lower-/.f32`
4 288×	`lower-/.f64`
4 072×	`lower-*.f32`
4 052×	`lower-*.f64`
3 402×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	419
0	96	418
1	437	415
2	3773	414
0	9082	388

Stop Event

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

Counts

24 → 372

Calls

Call 1

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

Outputs
(.f64 n #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)
#s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(exp.f64 (.f64 (log.f64 (/.f64 i (.f64 #s(literal 100 binary64) (expm1.f64 i)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(.f64 (.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 #s(literal -100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 #s(literal 100 binary64) (expm1.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(/.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (expm1.f64 (.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))))
(/.f64 n (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))))
(/.f64 (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) i)
(/.f64 (neg.f64 (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) (neg.f64 i))
(/.f64 (.f64 n #s(literal 1 binary64)) (/.f64 i #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))
(/.f64 (.f64 n (neg.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) (neg.f64 i))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) n) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))))
(/.f64 (neg.f64 (.f64 n (neg.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) n)) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) #s(literal -1 binary64))
(.f64 n (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i))
(.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) (/.f64 n i))
(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
(.f64 (.f64 n #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) i))
(exp.f64 (.f64 (log.f64 (/.f64 i #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) i))
(/.f64 #s(literal 1 binary64) (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))))
(/.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (neg.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) (neg.f64 (neg.f64 i)))
(/.f64 (.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) #s(literal 1 binary64))) (neg.f64 i))
(pow.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i))
(.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (neg.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))
(*.f64 i #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) i)
(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
(.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n)) #s(literal 100 binary64))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))
(+.f64 n (.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n))))
(+.f64 (.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n))) n)
(-.f64 (/.f64 (.f64 i (.f64 #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) n)) (.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) n))))) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) n)) (neg.f64 n))) (/.f64 (.f64 n n) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) (neg.f64 n))))
(fma.f64 #s(literal 1 binary64) n (.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n))))
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(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) n))
(.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) n))
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(.f64 (pow.f64 (/.f64 n (.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/3 binary64) i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/3 binary64) i))))
(*.f64 i #s(literal 1/3 binary64))
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(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 i i) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 i i)) (*.f64 i #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 i i)) (*.f64 i #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 i i) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 i i))) (-.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 i i) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 i i)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (.f64 i #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 i i) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 i (.f64 i i)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal 1/4 binary64)) (*.f64 i #s(literal 1/12 binary64)))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 i i) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (/.f64 i n)) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (.f64 n #s(literal 1/2 binary64)) (.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n)))
(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))
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(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i i)) (.f64 n (.f64 n n)))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 n n))) (.f64 #s(literal 2 binary64) (.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))

eval159.0ms (1.1%)

Memory: 11.1MiB live, 284.6MiB allocated
Compiler: Compiled 26 341 to 2 230 computations (91.5% saved)

prune172.0ms (1.2%)

Memory

22.9MiB live, 346.8MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	859	25	884
Fresh	20	15	35
Picked	2	3	5
Done	0	3	3
Total	881	46	927

Accuracy

100.0%

Counts

927 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)))
	20.6%	(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	20.7%	(fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
	20.9%	(fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i))
	12.6%	(fma.f64 #s(approx (/ (* (pow (+ 1 (/ i n)) n) n) i) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	18.5%	(/.f64 (fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i (.f64 i (.f64 #s(literal 100 binary64) (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 i i))
	45.9%	(/.f64 n (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))
✓	27.9%	(*.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)
	27.8%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	27.9%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) i) n)
	11.9%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (.f64 (.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
✓	46.0%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
▶	48.3%	(.f64 (.f64 n #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) i))
	44.9%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) #s(literal -1 binary64))) n)
✓	73.5%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)
▶	73.6%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
	55.7%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)
	53.6%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)
	50.9%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))) n)
	20.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	20.7%	(.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 #s(literal 1 binary64) n) i (neg.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
	14.6%	(.f64 #s(literal 100 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (/.f64 i n)) (/.f64 (.f64 i i) (.f64 n n))))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	21.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg.f64 (/.f64 (.f64 i i) n))) (neg.f64 (.f64 i (/.f64 i (*.f64 n n))))))
	27.5%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	53.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
	47.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
	20.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/3 binary64) i))) (.f64 n (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/3 binary64) i))))) n)))
	50.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) #s(approx (/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) n)))
	41.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) #s(approx (/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n) (/.f64 (*.f64 i (fma.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) n))) n)))
	10.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)))
▶	71.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	5.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (fma.f64 n (.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i (*.f64 i #s(literal 1/3 binary64)))) n))))
	7.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (.f64 (.f64 i i) #s(literal 1/3 binary64)) n))))
	7.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (.f64 i (.f64 i #s(literal 1/3 binary64))) n))))
▶	19.6%	#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i))
✓	70.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	48.3%	#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))
	54.4%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))))) n))) #s(literal 100 binary64)) i))
	16.1%	#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))
	70.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64)))))
✓	46.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	55.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))))))
	53.6%	#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 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
	39.9%	#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg (* i (/ i (* n n)))))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (.f64 i (expm1.f64 i)))) (.f64 i i)))

Compiler

Compiled 1 515 to 898 computations (40.7% saved)

simplify405.0ms (2.8%)

Memory

-17.6MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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 (neg.f64 n) (/.f64 #s(literal 100 binary64) i))
cost-diff	1024	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)))
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)))
cost-diff	0	(*.f64 i #s(literal 100 binary64))
cost-diff	0	#s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))
cost-diff	0	(.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))
cost-diff	320	(.f64 (.f64 n #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) i))
cost-diff	0	#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i))
cost-diff	704	(/.f64 #s(literal 0 binary64) i)
cost-diff	0	(/.f64 (expm1.f64 i) i)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff	0	#s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)

Rules

2 976×	`lower-fma.f32`
2 974×	`lower-fma.f64`
1 988×	`lower-*.f32`
1 970×	`lower-*.f64`
996×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	275
0	71	268
1	119	264
2	195	259
3	341	259
4	709	259
5	1355	259
6	2217	259
7	3190	259
8	3942	259
9	4540	259
10	4719	259
11	4788	259
12	5266	259
13	5483	259
14	5523	259
15	5619	259
16	5711	259
17	5755	259
18	5765	259
19	5781	259
20	5789	259
21	5789	259
22	6003	259
23	6237	259
24	6341	259
25	6371	259
26	6371	259
27	6371	259
28	6371	259
0	6371	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize213.0ms (1.5%)

Memory

0.0MiB live, 357.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
accuracy	0.1953125	(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i))
accuracy	16.796110251316698	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy	35.02566463764823	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)))
accuracy	0.00390625	(*.f64 n (expm1.f64 i))
accuracy	0.17942611518261117	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
accuracy	5.7973686461270955	(/.f64 (*.f64 n (expm1.f64 i)) i)
accuracy	16.79040374742609	#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
accuracy	0	(*.f64 i #s(literal 100 binary64))
accuracy	0.125	(.f64 n #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))
accuracy	5.1667425670325136	(.f64 (.f64 n #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))) (/.f64 #s(literal 1 binary64) i))
accuracy	34.90655702015082	#s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))
accuracy	0	(/.f64 #s(literal 0 binary64) i)
accuracy	50.466787515718174	#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i))
accuracy	0.01171875	(/.f64 (expm1.f64 i) i)
accuracy	0.0625	(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
accuracy	0.08984375	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
accuracy	19.431878517844428	#s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))

Samples

83.0ms	135×	1	valid
67.0ms	77×	2	valid
11.0ms	37×	0	valid
8.0ms	3×	5	exit
4.0ms	3×	3	valid
0.0ms	1×	1	exit

Compiler

Compiled 246 to 38 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-pow: 46.0ms (33.2% of total)

ival-mult: 32.0ms (23.1% of total)

ival-div: 29.0ms (20.9% of total)

adjust: 15.0ms (10.8% of total)

ival-add: 11.0ms (7.9% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

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

series27.0ms (0.2%)

Memory

2.7MiB live, 40.9MiB allocated

Counts

19 → 408

Calls

Call 1

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

Outputs
#s(alt (* 100 n) (taylor 0 i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* -1 (* n (- (* 100 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) 100)))) i)) (taylor -inf i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* n (- (* 100 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) 100))) (* -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)) (taylor -inf i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* n (- (* 100 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) 100))) (* -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)) (taylor -inf i) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) (taylor 0 n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) (taylor 0 n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)))))) (taylor 0 n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)) (* n (+ (* 100 (/ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) i)) (* 100 (/ (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))) i)))))))) (taylor 0 n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (* 100 (exp i)) 100)) i) (taylor inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i)))) (taylor inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i)))) (taylor inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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 (/ 1 i)))) (taylor inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (* 100 (exp i)) 100)) i) (taylor -inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (* 100 (exp i)) 100) i)) (* 50 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* -1 (/ (- (* 100 (exp i)) 100) i))))) (taylor -inf n) (#s(alt (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (patch (.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) #<representation binary64>) () ())) ())
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#s(alt 100 (taylor 0 i) (#s(alt #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) (taylor 0 i) (#s(alt #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 100 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) 100) i) (taylor inf i) (#s(alt #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n))))) (taylor -inf n) (#s(alt (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (patch (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n))))) (taylor -inf n) (#s(alt (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (patch (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 i) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (* -1 (log n))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
0.0ms	n	@	-inf	(* n (+ (* (pow (+ 1 (/ i n)) n) 100) -100))
0.0ms	i	@	-inf	(* n (+ (* (pow (+ 1 (/ i n)) n) 100) -100))
0.0ms	i	@	-inf	(/ (* n (- (exp i) 1)) i)
0.0ms	i	@	-inf	(/ (- (exp i) 1) i)

simplify348.0ms (2.4%)

Memory

-13.9MiB live, 296.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 372×	`lower-fma.f64`
11 372×	`lower-fma.f32`
6 840×	`lower-*.f64`
6 840×	`lower-*.f32`
6 702×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	970	12900
1	3167	11831
0	8855	10880

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

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

rewrite341.0ms (2.4%)

Memory

21.1MiB live, 174.9MiB allocated

Rules

5 352×	`lower-/.f32`
5 340×	`lower-/.f64`
4 302×	`lower-*.f32`
4 284×	`lower-*.f64`
3 852×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	239
0	71	230
1	250	224
2	1642	223
0	8319	210

Stop Event

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

Counts

19 → 566

Calls

Call 1

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

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

eval177.0ms (1.2%)

Memory: -22.1MiB live, 177.5MiB allocated
Compiler: Compiled 26 986 to 2 621 computations (90.3% saved)

prune217.0ms (1.5%)

Memory

18.1MiB live, 144.8MiB allocated

Pruning

51 alts after pruning (42 fresh and 9 done)

	Pruned	Kept	Total
New	959	11	970
Fresh	4	31	35
Picked	2	3	5
Done	0	6	6
Total	965	51	1 016

Accuracy

100.0%

Counts

1 016 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.6%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)))
	20.7%	(fma.f64 (/.f64 n i) #s(literal -100 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n (.f64 i #s(literal 1/100 binary64)))))
	20.6%	(fma.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) #s(literal 100 binary64) (.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	20.7%	(fma.f64 (.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i) (/.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i))
	20.9%	(fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i))
	12.6%	(fma.f64 #s(approx (/ (* (pow (+ 1 (/ i n)) n) n) i) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
	12.4%	(fma.f64 #s(approx (/ (* (pow (+ 1 (/ i n)) n) n) i) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)))
	13.1%	(/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 n #s(literal 100 binary64))) (/.f64 i (.f64 #s(literal 100 binary64) (neg.f64 n))) i) (.f64 i (/.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))))
	18.5%	(/.f64 (fma.f64 (.f64 #s(literal 100 binary64) (neg.f64 n)) i (.f64 i (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 n #s(literal 100 binary64))))) (*.f64 i i))
	19.1%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (.f64 n #s(literal 100 binary64))) i) (.f64 i (.f64 n #s(literal 100 binary64)))) (.f64 i i))
	45.9%	(/.f64 n (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64)))))
✓	27.9%	(*.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)
	27.8%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (.f64 n #s(literal 100 binary64)))
	27.9%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) i) n)
	11.9%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (.f64 (.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i) n)
✓	46.0%	(.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) i) n)
	44.9%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 i #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))))) #s(literal -1 binary64))) n)
✓	73.5%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) n)
✓	73.6%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)
	55.7%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64))) n)
	55.7%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)
	53.6%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)
	50.9%	(.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))) n)
	48.2%	(.f64 #s(approx ( n (+ (* (pow (+ 1 (/ i n)) n) 100) -100)) (.f64 #s(literal 100 binary64) (.f64 n i))) (/.f64 #s(literal 1 binary64) i))
	20.7%	(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i))))
	20.7%	(.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 #s(literal 1 binary64) n) i (neg.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)))) (neg.f64 (.f64 i (/.f64 i (.f64 n n))))))
✓	75.9%	(.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
	21.1%	(.f64 #s(literal 100 binary64) (/.f64 #s(approx (- ( (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg.f64 (/.f64 (.f64 i i) n))) (neg.f64 (.f64 i (/.f64 i (*.f64 n n))))))
	27.5%	(.f64 #s(literal 100 binary64) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i)))
	53.6%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n)))
	47.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) n)) n)))
	20.4%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i #s(literal 1/3 binary64))) (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1/3 binary64) i))) (.f64 n (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/3 binary64) i))))) n)))
	50.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) #s(approx (/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) n)))
	41.0%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx ( n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) #s(approx (/ (+ (* n (+ (* n (+ (* i 1/6) 1/2)) (+ (* i -1/2) -1/2))) (* i 1/3)) n) (/.f64 (*.f64 i (fma.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) n))) n)))
	10.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)))
✓	71.3%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))
	55.7%	(.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 i (.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 n #s(literal 1/2 binary64))) n))))
	50.9%	(.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 (*.f64 n #s(literal 1/2 binary64)) n))))
	5.8%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (fma.f64 n (.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 i (*.f64 i #s(literal 1/3 binary64)))) n))))
	7.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (.f64 (.f64 i i) #s(literal 1/3 binary64)) n))))
	7.5%	(.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (/.f64 (.f64 i (.f64 i #s(literal 1/3 binary64))) n))))
	19.6%	#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))
	50.4%	#s(approx (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (fma.f64 #s(literal 100 binary64) (fma.f64 (.f64 n i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (.f64 i (.f64 (.f64 #s(literal 100 binary64) i) (fma.f64 (.f64 n i) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n))))) (.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))))))
✓	70.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))
	48.3%	#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))
	16.1%	#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))
✓	46.1%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
	55.8%	#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (/ (* (* n (- (exp i) 1)) 100) i) (fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (.f64 (.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))))))
	53.6%	#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 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (.f64 #s(literal 100 binary64) n))))
	39.9%	#s(approx (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i (neg n))) (/ i (neg n))) (neg (* i (/ i (* n n)))))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 n (.f64 i (expm1.f64 i)))) (.f64 i i)))

Compiler

Compiled 2 608 to 944 computations (63.8% saved)

regimes137.0ms (1%)

Memory

-35.3MiB live, 55.2MiB allocated

Counts

92 → 4

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	(*.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)))
23.0ms	n
23.0ms	i
20.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
89.7%	5	`i`
91.6%	4	`n`
95.7%	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)))`
95.7%	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)

regimes92.0ms (0.6%)

Memory

7.2MiB live, 121.5MiB allocated

Counts

89 → 4

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	n
22.0ms	i
20.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))

Results

Accuracy	Segments	Branch
77.5%	3	`i`
85.2%	4	`n`
80.0%	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)))`
80.0%	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)

regimes26.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB allocated

Counts

87 → 4

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
83.8%	4	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

-12.8MiB live, 29.3MiB allocated

Counts

84 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
82.0%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

-19.7MiB live, 19.5MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

(*.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) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))

(*.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
80.2%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

50 → 3

Calls

Call 1

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

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

#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
79.7%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.3%)

Memory

15.2MiB live, 54.5MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

13.0ms	n
13.0ms	i
11.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))

Results

Accuracy	Segments	Branch
64.5%	3	`i`
55.8%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
55.8%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
67.1%	3	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes11.0ms (0.1%)

Memory

-27.2MiB live, 12.4MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
66.6%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	n
4.0ms	i

Results

Accuracy	Segments	Branch
61.2%	2	`i`
64.4%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.4%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	i
2.0ms	n

Results

Accuracy	Segments	Branch
60.1%	3	`i`
61.5%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-32.0MiB live, 10.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.1%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))`
46.1%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
57.7%	3	`i`
56.5%	3	`n`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
19.6%	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)))`
19.6%	1	`(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))`
19.6%	1	`n`
19.6%	1	`i`

Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-0.0	2.5485949309418574e-259
0.0ms	-inf	-6.225157542616793e-22

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch120.0ms (0.8%)

Memory

18.2MiB live, 135.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
47.0ms	2.4053808293077987e-91	1.0658436199713511e-85
31.0ms	4.203143547167428e-268	1.7125438296969765e-263
33.0ms	-1.0869175757046835e-195	-6.303296816376948e-198

Samples

44.0ms	130×	2	valid
22.0ms	148×	1	valid
14.0ms	250×	0	invalid
6.0ms	102×	0	valid
4.0ms	4×	3	valid

Compiler

Compiled 591 to 390 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 34.0ms (48.2% of total)

ival-div: 13.0ms (18.4% of total)

adjust: 8.0ms (11.3% of total)

ival-sub: 5.0ms (7.1% of total)

ival-mult: 5.0ms (7.1% of total)

ival-add: 4.0ms (5.7% of total)

exact: 1.0ms (1.4% of total)

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

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

bsearch50.0ms (0.4%)

Memory

-20.5MiB live, 60.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
45.0ms	1.96244023776182e-178	4.9601285438231484e-170
1.0ms	-1.0869175757046835e-195	-6.303296816376948e-198

Samples

20.0ms	60×	2	valid
9.0ms	59×	1	valid
7.0ms	79×	0	invalid
1.0ms	25×	0	valid

Compiler

Compiled 726 to 485 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 16.0ms (52% of total)

ival-div: 6.0ms (19.5% of total)

adjust: 3.0ms (9.7% of total)

ival-add: 2.0ms (6.5% of total)

ival-mult: 2.0ms (6.5% of total)

ival-sub: 2.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.4053808293077987e-91	1.0658436199713511e-85
0.0ms	-1.0869175757046835e-195	-6.303296816376948e-198

Samples

7.0ms	19×	2	valid
6.0ms	39×	1	valid
2.0ms	35×	0	invalid
0.0ms	6×	0	valid

Compiler

Compiled 308 to 207 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 6.0ms (47.3% of total)

ival-div: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% of total)

adjust: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory

-34.1MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
34.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Samples

13.0ms	37×	2	valid
12.0ms	62×	1	valid
3.0ms	51×	0	invalid
1.0ms	13×	0	valid

Compiler

Compiled 308 to 207 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 12.0ms (51.8% of total)

ival-div: 4.0ms (17.3% of total)

adjust: 3.0ms (12.9% of total)

ival-mult: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

ival-sub: 1.0ms (4.3% 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

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 308 to 207 computations (32.8% saved)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 516 to 319 computations (38.2% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 367 to 241 computations (34.3% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 358 to 241 computations (32.7% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 340 to 223 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4053808293077987e-91	1.0658436199713511e-85
1.0ms	-1.8116082904328575e-91	-1.1138163685984188e-92

Compiler

Compiled 292 to 191 computations (34.6% saved)

bsearch80.0ms (0.6%)

Memory

13.4MiB live, 96.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.0191392508026159e+61	1.3576882235755212e+73
37.0ms	-184352.94522751242	-0.0008794928442149029

Samples

52.0ms	240×	1	valid
5.0ms	64×	0	valid
4.0ms	71×	0	invalid

Compiler

Compiled 267 to 186 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 24.0ms (50.9% of total)

ival-div: 9.0ms (19.1% of total)

adjust: 5.0ms (10.6% of total)

ival-add: 3.0ms (6.4% of total)

ival-sub: 3.0ms (6.4% of total)

ival-mult: 3.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory

-18.2MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
14×	`unsub-neg_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1188
1	205	1188
2	213	1188
3	219	1188
4	227	1188
5	239	1188

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 -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) (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 (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 (/.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))))))
(if (<=.f64 n #s(literal -4208108721238699/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (if (<=.f64 n #s(literal 3601369075219631/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (.f64 (.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i) n) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -4208108721238699/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (if (<=.f64 n #s(literal 3263311827866217/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (if (<=.f64 n #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) #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(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n))))
(if (<=.f64 n #s(literal -4208108721238699/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n)))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i))) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (.f64 n (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 (.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i))))
(if (<=.f64 n #s(literal -6752059925474771/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))))) n))) #s(literal 100 binary64)) i)) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (.f64 #s(approx ( n (- (exp i) 1)) (.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (.f64 i (*.f64 n (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64))))) n))) #s(literal 100 binary64)) i))))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ ( i (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))))) n) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))) n)))
(if (<=.f64 n #s(literal -6575919231766733/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))) n) (if (<=.f64 n #s(literal 1123814321835135/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) #s(approx (/ (* 100 (- (exp i) 1)) i) (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))) n)))
(if (<=.f64 i #s(literal -215 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 10199999999999999911923087841942956760514969947185323660279808 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))

Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -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) (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 (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 (/.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))))))
(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 n (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (.f64 #s(literal 100 binary64) (/.f64 (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 n (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -4208108721238699/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n) (if (<=.f64 n #s(literal 3601369075219631/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 n #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (.f64 (/.f64 #s(approx (+ ( (pow (+ 1 (/ i n)) n) 100) -100) (.f64 (.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n)))) i) n) (.f64 #s(approx (/ (+ ( (pow (+ 1 (/ i n)) n) 100) -100) i) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) n))))
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(if (<=.f64 i #s(literal -215 binary64)) #s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 10199999999999999911923087841942956760514969947185323660279808 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (.f64 n #s(literal 100 binary64))) #s(approx (+ ( (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))))
#s(approx (+ (* (/ (* (pow (+ 1 (/ i n)) n) n) i) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64)))

soundness1.2s (8.3%)

Memory

36.3MiB live, 701.6MiB allocated

Rules

11 372×	`lower-fma.f64`
11 372×	`lower-fma.f32`
11 188×	`lower-fma.f64`
11 188×	`lower-fma.f32`
10 584×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1080	14698
1	3581	13530
0	8273	12395
0	970	12900
1	3167	11831
0	8855	10880
0	10	44
0	16	44
1	73	44
2	570	44
3	7354	44
0	8669	38
0	1368	17219
1	4445	15835
0	8202	14727
0	515	3831
1	1624	3489
2	5523	3268
0	8137	2980
0	60	419
0	96	418
1	437	415
2	3773	414
0	9082	388

Stop Event

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

Compiler

Compiled 1 535 to 678 computations (55.8% saved)

preprocess103.0ms (0.7%)

Memory: -33.0MiB live, 134.4MiB allocated
Compiler: Compiled 1 098 to 296 computations (73% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze299.0ms (2.1%)

sample4.6s (32.5%)

explain366.0ms (2.6%)

preprocess193.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify154.0ms (1.1%)

localize126.0ms (0.9%)

series23.0ms (0.2%)

simplify474.0ms (3.3%)

rewrite303.0ms (2.1%)

eval93.0ms (0.6%)

prune149.0ms (1%)

simplify247.0ms (1.7%)

localize372.0ms (2.6%)

series73.0ms (0.5%)

simplify568.0ms (4%)

rewrite314.0ms (2.2%)

eval160.0ms (1.1%)

prune342.0ms (2.4%)

simplify266.0ms (1.9%)

localize382.0ms (2.7%)

series61.0ms (0.4%)

simplify311.0ms (2.2%)

rewrite253.0ms (1.8%)

eval159.0ms (1.1%)

prune172.0ms (1.2%)

simplify405.0ms (2.8%)

localize213.0ms (1.5%)

series27.0ms (0.2%)

simplify348.0ms (2.4%)

rewrite341.0ms (2.4%)

eval177.0ms (1.2%)

prune217.0ms (1.5%)

regimes137.0ms (1%)

regimes92.0ms (0.6%)

regimes26.0ms (0.2%)

regimes29.0ms (0.2%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes49.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch120.0ms (0.8%)

bsearch50.0ms (0.4%)

bsearch22.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch80.0ms (0.6%)

simplify17.0ms (0.1%)

soundness1.2s (8.3%)

preprocess103.0ms (0.7%)

end0.0ms (0%)

Profiling