Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze188.0ms (0.7%)

Memory

5.3MiB live, 235.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	7
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	8
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	9
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	10
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	11
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.6s (50.9%)

Memory

137.5MiB live, 16 482.5MiB allocated

Samples

9.9s	4 759×	5	exit
1.5s	2 799×	2	valid
892.0ms	2 847×	1	valid
643.0ms	2 253×	1	exit
318.0ms	2 610×	0	valid
171.0ms	1 429×	0	exit
119.0ms	14×	2	exit
11.0ms	4×	4	exit
1.0ms	2×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 12.4s

ival-pow: 9.3s (75.4% of total)

adjust: 1.5s (12% of total)

ival-div: 705.0ms (5.7% of total)

ival-sub: 535.0ms (4.3% of total)

ival-add: 281.0ms (2.3% of total)

ival-true: 16.0ms (0.1% of total)

exact: 12.0ms (0.1% of total)

ival-assert: 8.0ms (0.1% of total)

Bogosity

explain266.0ms (0.9%)

Memory

-24.0MiB live, 371.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
126	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
34	27	(7.692344774677111e-161 2.8460160252750307e-59)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	126	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	61	0

Confusion

	Predicted +	Predicted -
+	146	0
-	41	69

Precision

0.7807486631016043

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	41	0	69

Precision?

0.7807486631016043

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	188×	2	valid
77.0ms	244×	1	valid
7.0ms	80×	0	valid

Compiler

Compiled 87 to 28 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-pow: 98.0ms (72.1% of total)

adjust: 15.0ms (11% of total)

ival-div: 10.0ms (7.4% of total)

ival-sub: 6.0ms (4.4% of total)

ival-add: 5.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.1%)

Memory

38.6MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
66×	`unsub-neg`
62×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval4.0ms (0%)

Memory: -36.0MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify8.0ms (0%)

Memory

10.8MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (0.4%)

Memory

-3.1MiB live, 113.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	7.960468245996176	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	28.89960029481705	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

53.0ms	94×	2	valid
30.0ms	122×	1	valid
4.0ms	40×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-pow: 55.0ms (74.9% of total)

adjust: 8.0ms (10.9% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	x	@	-inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	n	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	x	@	0	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	n	@	-inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify298.0ms (1%)

Memory

26.0MiB live, 402.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 538×	`lower-fma.f64`
11 538×	`lower-fma.f32`
4 136×	`lower-*.f64`
4 136×	`lower-*.f32`
3 354×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1483
1	700	1377
2	1966	1308
3	6932	1308
0	8128	1194

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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)))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (log1p.f64 x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log.f64 x)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (log.f64 x)))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

rewrite237.0ms (0.8%)

Memory

-16.9MiB live, 313.6MiB allocated

Rules

3 822×	`lower-fma.f64`
3 822×	`lower-fma.f32`
3 746×	`lower-*.f64`
3 746×	`lower-*.f32`
3 490×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	63	26
2	407	26
3	4335	26
0	8433	22

Stop Event

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

Counts

4 → 271

Calls

Call 1

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

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

eval54.0ms (0.2%)

Memory: 18.4MiB live, 97.6MiB allocated
Compiler: Compiled 10 943 to 1 270 computations (88.4% saved)

prune79.0ms (0.3%)

Memory

-2.3MiB live, 190.4MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	386	22	408
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	23	409

Accuracy

99.8%

Counts

409 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	23.6%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
▶	23.5%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
	23.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))) (+.f64 (+.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))
	23.5%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
	47.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓	47.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	54.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	12.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.6%	(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))
	23.5%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
▶	34.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	55.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	66.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
▶	74.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
	70.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Compiler

Compiled 1 603 to 782 computations (51.2% saved)

simplify490.0ms (1.7%)

Memory

-202.7MiB live, 375.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
cost-diff	320	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	448	(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(-.f64 (log.f64 x) (log1p.f64 x))
cost-diff	0	(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
cost-diff	128	(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))

Rules

13 416×	`lower-fma.f32`
13 408×	`lower-fma.f64`
2 936×	`lower-*.f32`
2 924×	`lower-*.f64`
2 398×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	837
0	127	797
1	226	796
2	493	794
3	1192	792
4	3358	792
5	6489	792
0	8043	786

Stop Event

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

Calls

Call 1

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

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

localize799.0ms (2.8%)

Memory

-7.6MiB live, 638.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6949203318694789	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	0.7108284931627517	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
accuracy	0.7268576319093476	(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))
accuracy	13.786161734797608	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))))
accuracy	0.6949203318694789	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	1.419205213230688	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
accuracy	6.393453898504904	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
accuracy	13.810015254739515	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	1.4182083993756447	(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))
accuracy	1.6671015050065525	(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
accuracy	8.044449714117437	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
accuracy	13.810015254739515	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.694920331869479	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	13.810015254739515	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	3.5437910633464913	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
accuracy	8.659416338071345	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	8.663703165946037	(-.f64 (log.f64 x) (log1p.f64 x))
accuracy	8.670147540513922	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

237.0ms	47×	1	valid
215.0ms	81×	1	invalid
129.0ms	41×	2	valid
24.0ms	36×	0	invalid
24.0ms	15×	1	exit
15.0ms	29×	0	exit
9.0ms	3×	2	invalid
2.0ms	4×	0	valid

Compiler

Compiled 772 to 65 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 559.0ms

ival-pow: 198.0ms (35.4% of total)

ival-mult: 105.0ms (18.8% of total)

ival-sub: 76.0ms (13.6% of total)

ival-div: 65.0ms (11.6% of total)

ival-add: 39.0ms (7% of total)

adjust: 32.0ms (5.7% of total)

ival-log: 13.0ms (2.3% of total)

const: 11.0ms (2% of total)

ival-pow2: 8.0ms (1.4% of total)

ival-log1p: 6.0ms (1.1% of total)

ival-exp: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series364.0ms (1.3%)

Memory

3.3MiB live, 278.9MiB allocated

Counts

26 → 564

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))>
#<alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))>
#<alt (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))>
#<alt (-.f64 (log.f64 x) (log1p.f64 x))>
#<alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))>
#<alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))>
#<alt (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))>
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))>
#<alt (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))>
#<alt (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))>
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))>

Outputs
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)>
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#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
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#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))>
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#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))>
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#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt 1>
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#<alt (+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))>

Calls

141 calls:

Time	Variable		Point	Expression
58.0ms	n	@	0	(log (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
46.0ms	x	@	inf	(log (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
46.0ms	x	@	0	(pow x (/ 1 n))
18.0ms	n	@	inf	(- (pow (+ x 1) (* 2 (/ 2 n))) (pow x (* 2 (/ 2 n))))
14.0ms	x	@	0	(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))

simplify561.0ms (2%)

Memory

-9.4MiB live, 505.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 968×	`lower-*.f64`
6 968×	`lower-*.f32`
6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
4 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2264	31854
1	7412	31776
0	9050	29130

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
(* -1 (/ (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/3 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (* -1 (/ (- (+ (* -1 (- (* 1/3 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) n)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/4 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) (* n x))))) x))) x)) (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n))) x))
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
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(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
(* -1 (/ (- (log x) (log (+ 1 x))) n))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
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(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
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(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 (* 2 (/ x n)))
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))
(exp (* -2 (/ (log (/ 1 x)) n)))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))

Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
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(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
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(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
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(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 n n)) (neg.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)))) (*.f64 x n))
(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
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(+.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 x (*.f64 x x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n)))))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n))) n)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ x n)))
(fma.f64 #s(literal 2 binary64) (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))
(fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal 4/3 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 2 binary64) (.f64 n n))) (/.f64 #s(literal 2 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (.f64 x n)) (exp.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))
(+.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (.f64 x n)) (.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (.f64 x n)) (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n))) (fma.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (.f64 x x)) (.f64 (exp.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal 4/3 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 2 binary64) (.f64 n n))) (.f64 x (*.f64 x x))))))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (.f64 x n)) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))
(+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) n) (neg.f64 (.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))) x)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) n) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal 4/3 binary64) (.f64 n (*.f64 n n))))) x)))) x))) x)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n))) #s(literal 1 binary64))
(+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n n))) (/.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 4/3 binary64)) (.f64 n (.f64 n n)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))) n)))

rewrite480.0ms (1.7%)

Memory

1.1MiB live, 519.4MiB allocated

Rules

5 992×	`lower-fma.f32`
5 984×	`lower-fma.f64`
5 656×	`lower-*.f32`
5 644×	`lower-*.f64`
3 064×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	527
0	127	469
1	574	444
2	5671	442
0	9427	428

Stop Event

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

Counts

26 → 981

Calls

Call 1

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

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

eval361.0ms (1.3%)

Memory: 43.1MiB live, 773.6MiB allocated
Compiler: Compiled 102 542 to 6 726 computations (93.4% saved)

prune341.0ms (1.2%)

Memory

-25.5MiB live, 698.3MiB allocated

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	1 903	30	1 933
Fresh	9	8	17
Picked	4	1	5
Done	0	1	1
Total	1 916	40	1 956

Accuracy

100.0%

Counts

1 956 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	47.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓	47.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	54.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	20.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	5.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	21.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
✓	36.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
▶	28.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	23.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
	23.8%	(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	23.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
	21.9%	(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) #s(literal -1 binary64)))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n)))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n)))
	55.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
▶	70.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
	48.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
	49.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
	57.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))))
▶	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64))))
	48.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n)) (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n)) (/.f64 x n))))

Compiler

Compiled 2 731 to 1 442 computations (47.2% saved)

simplify306.0ms (1.1%)

Memory

10.8MiB live, 465.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
cost-diff	128	(*.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(/.f64 (log1p.f64 x) n)
cost-diff	0	(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	320	(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
cost-diff	128	(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
cost-diff	256	(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
cost-diff	12288	(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))

Rules

14 196×	`lower-fma.f32`
14 188×	`lower-fma.f64`
3 808×	`lower-+.f32`
3 806×	`lower-+.f64`
3 430×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	862
0	127	862
1	207	860
2	396	860
3	1005	856
4	3010	852
0	8387	833

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)
(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)
(fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(literal -1/24 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
n
(*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal -1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
#s(literal 1/2 binary64)
(.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
(/.f64 #s(literal 1/6 binary64) n)
#s(literal 1/6 binary64)

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64))) (.f64 n n))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64))) (.f64 n n))) n)
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))
(-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (.f64 n n)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64))) n)) n)
(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64))) n))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)
(fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(literal -1/24 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
n
(*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal -1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 x n) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 x n) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 x n) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 x n) x) (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n))
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
(+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n)
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n))
#s(literal 1/2 binary64)
(.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(log.f64 (fma.f64 x x x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
(/.f64 #s(literal 1/6 binary64) n)
#s(literal 1/6 binary64)

localize691.0ms (2.4%)

Memory

-8.9MiB live, 1 299.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	13.40321441236843	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
accuracy	24.14941297827905	(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy	24.15182640006134	(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	24.298549897837106	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy	0	(log1p.f64 x)
accuracy	0.00390625	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.125	(/.f64 (log1p.f64 x) n)
accuracy	28.89960029481705	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	2.158385521462886	(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
accuracy	5.053165413593436	(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
accuracy	28.89960029481705	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	29.761281305651774	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
accuracy	15.826666145662278	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	22.95661097108879	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	28.89960029481705	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	24.238952608578014	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.27857799295009	(-.f64 (log.f64 x) (log1p.f64 x))
accuracy	24.29336416662013	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
accuracy	24.298549897837106	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

308.0ms	143×	1	valid
223.0ms	94×	2	valid
10.0ms	18×	0	valid
1.0ms	1×	1	exit

Compiler

Compiled 823 to 67 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-pow: 115.0ms (25% of total)

ival-log: 58.0ms (12.6% of total)

ival-sub: 54.0ms (11.7% of total)

ival-mult: 53.0ms (11.5% of total)

const: 47.0ms (10.2% of total)

adjust: 46.0ms (10% of total)

ival-div: 43.0ms (9.3% of total)

ival-log1p: 13.0ms (2.8% of total)

ival-add: 12.0ms (2.6% of total)

ival-pow2: 9.0ms (2% of total)

ival-exp: 8.0ms (1.7% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series161.0ms (0.6%)

Memory

20.2MiB live, 210.3MiB allocated

Counts

25 → 492

Calls

Call 1

Inputs
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Outputs
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#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>

Calls

123 calls:

Time	Variable		Point	Expression
47.0ms	x	@	inf	(+ (* x (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n))) 1)
22.0ms	x	@	-inf	(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (neg n))
19.0ms	n	@	0	(/ (log (+ 1 x)) n)
8.0ms	n	@	inf	(/ (log (+ 1 x)) n)
6.0ms	n	@	inf	(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))

simplify356.0ms (1.2%)

Memory

8.8MiB live, 655.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
4 802×	`lower-*.f64`
4 802×	`lower-*.f32`
4 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1630	18836
1	5224	17660
0	8176	16393

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 490

Calls

Call 1

Inputs
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(- (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))))) (* -1/2 (/ (pow (log x) 2) n)))
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(/ (- (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x)
(/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) x)) (+ (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3))) (* 1/2 (/ 1 x)))))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))) x)
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(/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) (pow x 2))) (+ (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3))) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 3))) (/ (pow (+ 1 (log (/ 1 x))) 2) (pow n 3)))) (pow x 3))) (+ (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) x)) (+ (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))))))))))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))))) x)
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(* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3)))
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(/ (+ (* -1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))))) (pow n 3))
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(- (log x) (log (+ 1 x)))
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(- (log x) (log (+ 1 x)))
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(* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x))
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Outputs
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(- (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))))) (* -1/2 (/ (pow (log x) 2) n)))
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(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (-.f64 #s(literal 1 binary64) (log.f64 x))) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64))) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x (*.f64 x x)))))))))) x)
(* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) x)
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) x))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x))
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)) x)) x))
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 2 (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x))) x)) x)) x))
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) x))
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(* -2 (/ (log (/ 1 x)) x))
(/.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) x)
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 11/12 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (log.f64 x) x)))))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64)) x))) x)) x)) x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ x (* -1 (log x)))
(-.f64 x (log.f64 x))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x))
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) x))

rewrite393.0ms (1.4%)

Memory

-13.2MiB live, 436.4MiB allocated

Rules

4 758×	`lower-*.f32`
4 744×	`lower-*.f64`
3 920×	`lower-fma.f32`
3 912×	`lower-fma.f64`
3 058×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	486
0	127	466
1	542	450
2	4577	450
0	8235	449

Stop Event

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

Counts

25 → 581

Calls

Call 1

Inputs
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 #s(literal -1 binary64) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))

Outputs
(+.f64 (log.f64 x) (neg.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))))
(+.f64 (log.f64 x) (+.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)))
(+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)))
(+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) n)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (.f64 n n)))
(-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)))
(-.f64 (log.f64 x) (-.f64 (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))))
(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))) (/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)))
(fma.f64 (+.f64 (neg.f64 (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n)))
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(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))))
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(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (.f64 x x) x)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (log.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 2 binary64))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))

eval211.0ms (0.7%)

Memory: 25.8MiB live, 400.5MiB allocated
Compiler: Compiled 67 796 to 5 816 computations (91.4% saved)

prune260.0ms (0.9%)

Memory

-12.6MiB live, 431.0MiB allocated

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1 298	17	1 315
Fresh	13	20	33
Picked	4	1	5
Done	1	1	2
Total	1 316	39	1 355

Accuracy

100.0%

Counts

1 355 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	47.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	47.9%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	5.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	10.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	19.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	11.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	24.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
✓	36.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
✓	28.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	23.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
	23.8%	(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
▶	23.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	55.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) n)))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (neg.f64 n)))
	48.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
	49.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n))))))
	57.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))))
	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	53.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	25.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	48.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n)) (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n)) (/.f64 x n))))
	50.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
▶	60.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))

Compiler

Compiled 2 535 to 1 356 computations (46.5% saved)

simplify413.0ms (1.4%)

Memory

-0.2MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	320	(fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 x n)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)
cost-diff	0	(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
cost-diff	0	#s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))

Rules

13 488×	`lower-fma.f32`
13 482×	`lower-fma.f64`
3 754×	`lower-*.f32`
3 744×	`lower-*.f64`
1 848×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	703
0	128	703
1	213	698
2	376	688
3	867	686
4	1802	678
5	4510	678
0	8148	654

Stop Event

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

Calls

Call 1

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

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

localize1.4s (4.7%)

Memory

20.7MiB live, 566.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.694920331869479	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	0.7108284931627517	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
accuracy	0.7268576319093476	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n))
accuracy	13.786161734797608	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n)))
accuracy	0.694920331869479	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	1.419205213230688	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
accuracy	6.393453898504904	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
accuracy	13.810015254739515	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.0078125	(fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))
accuracy	7.505916394377879	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64)))
accuracy	10.975620037479027	(/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))
accuracy	13.810015254739515	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 x n))
accuracy	3.945958907295979	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	5.504830325585537	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
accuracy	13.810015254739515	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	0.08203125	(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)
accuracy	3.5437910633464913	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
accuracy	3.835100631798362	#s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)))
accuracy	8.640350712599698	(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))

Samples

380.0ms	41×	2	valid
373.0ms	47×	1	valid
320.0ms	81×	1	invalid
44.0ms	30×	0	exit
22.0ms	36×	0	invalid
20.0ms	14×	1	exit
9.0ms	3×	2	invalid
3.0ms	4×	0	valid

Compiler

Compiled 524 to 71 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-pow: 519.0ms (46.1% of total)

ival-sub: 141.0ms (12.5% of total)

ival-mult: 131.0ms (11.6% of total)

ival-div: 122.0ms (10.8% of total)

ival-add: 94.0ms (8.3% of total)

ival-log: 67.0ms (5.9% of total)

adjust: 31.0ms (2.8% of total)

ival-log1p: 7.0ms (0.6% of total)

const: 6.0ms (0.5% of total)

ival-exp: 4.0ms (0.4% of total)

ival-neg: 2.0ms (0.2% of total)

exact: 1.0ms (0.1% of total)

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

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

series200.0ms (0.7%)

Memory

-19.0MiB live, 70.9MiB allocated

Counts

29 → 684

Calls

Call 1

Inputs
#<alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))>
#<alt #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)))>
#<alt (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))>
#<alt (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)>
#<alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))>
#<alt #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x n))>
#<alt (/.f64 x n)>
#<alt (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)))))>
#<alt (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))>
#<alt (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))>
#<alt (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))>
#<alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n)))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
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#<alt 1>
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#<alt (+ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 4 (/ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))>
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#<alt (+ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -4 (/ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 8 (/ 1 (pow n 2))) (+ (* 4/3 (/ 1 n)) (* 32/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 8 (/ 1 (pow n 2))) (* 2 (/ 1 n))))) x))) x)))>
#<alt (exp (* 4 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 4 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 4 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 4 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 4 (/ (log (+ 1 x)) n)) (* 8 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
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#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -8 (/ (pow (log (+ 1 x)) 2) n)) (* -4 (log (+ 1 x)))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -4 (log (+ 1 x))) (* -1 (/ (+ (* 8 (pow (log (+ 1 x)) 2)) (* 32/3 (/ (pow (log (+ 1 x)) 3) n))) n))) n)))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
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#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
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#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
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#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
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#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
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#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>

Calls

171 calls:

Time	Variable		Point	Expression
45.0ms	n	@	-inf	(+ (* n (+ (* x -1/2) 1)) (* x 1/2))
45.0ms	x	@	inf	(/ 1 (* (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))) (+ (pow x (/ 2 n)) (pow (+ x 1) (/ 2 n)))))
32.0ms	x	@	-inf	(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
14.0ms	n	@	0	(neg (/ (log (/ x (+ x 1))) n))
5.0ms	n	@	inf	(neg (/ (log (/ x (+ x 1))) n))

simplify744.0ms (2.6%)

Memory

2.5MiB live, 584.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 922×	`lower-*.f64`
5 922×	`lower-*.f32`
5 398×	`lower-fma.f64`
5 398×	`lower-fma.f32`
4 572×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2356	37389
1	7794	36102
0	8284	33188

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 683

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n))))) (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)))) (* x (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/6 (/ 1 (pow n 3)))))))) (/ 1 n)))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
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(+ (exp (* -4 (/ (log (/ 1 x)) n))) (+ (* 4 (/ (exp (* -4 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -4 (/ (log (/ 1 x)) n))) (- (* 8 (/ 1 (pow n 2))) (* 2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -4 (/ (log (/ 1 x)) n))) (- (+ (* 4/3 (/ 1 n)) (* 32/3 (/ 1 (pow n 3)))) (* 8 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 4 (/ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(+ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -4 (/ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 8 (/ 1 (pow n 2))) (* 2 (/ 1 n)))) x))) x)))
(+ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -4 (/ (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 8 (/ 1 (pow n 2))) (+ (* 4/3 (/ 1 n)) (* 32/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 4 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 8 (/ 1 (pow n 2))) (* 2 (/ 1 n))))) x))) x)))
(exp (* 4 (/ (log (+ 1 x)) n)))
(exp (* 4 (/ (log (+ 1 x)) n)))
(exp (* 4 (/ (log (+ 1 x)) n)))
(exp (* 4 (/ (log (+ 1 x)) n)))
1
(+ 1 (* 4 (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 4 (/ (log (+ 1 x)) n)) (* 8 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+ 1 (+ (* 4 (/ (log (+ 1 x)) n)) (+ (* 8 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (* 32/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))))))
1
(+ 1 (* 4 (/ (log (+ 1 x)) n)))
(+ 1 (* -1 (/ (+ (* -8 (/ (pow (log (+ 1 x)) 2) n)) (* -4 (log (+ 1 x)))) n)))
(+ 1 (* -1 (/ (+ (* -4 (log (+ 1 x))) (* -1 (/ (+ (* 8 (pow (log (+ 1 x)) 2)) (* 32/3 (/ (pow (log (+ 1 x)) 3) n))) n))) n)))
1
(+ 1 (* 2 (/ x n)))
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))
(exp (* -2 (/ (log (/ 1 x)) n)))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))

Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
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(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
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(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
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(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
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(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (log1p.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (.f64 n n))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (.f64 n n)))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(neg.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
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(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
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(fma.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n))) #s(literal 1 binary64))
(+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n n))) (/.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 4/3 binary64)) (.f64 n (.f64 n n)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 4/3 binary64)) n)) n))) n)))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (fma.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (.f64 x n)) (fma.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x (.f64 x x))) (.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n))) n)))

rewrite401.0ms (1.4%)

Memory

7.5MiB live, 405.0MiB allocated

Rules

5 074×	`lower-fma.f32`
5 068×	`lower-fma.f64`
4 656×	`lower-*.f32`
4 646×	`lower-*.f64`
3 070×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	580
0	128	550
1	549	530
2	4649	528
0	8221	476

Stop Event

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

Counts

29 → 781

Calls

Call 1

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

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

eval271.0ms (0.9%)

Memory: 28.0MiB live, 488.8MiB allocated
Compiler: Compiled 74 057 to 5 524 computations (92.5% saved)

prune227.0ms (0.8%)

Memory

-15.3MiB live, 553.7MiB allocated

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	1 432	32	1 464
Fresh	17	15	32
Picked	5	0	5
Done	0	2	2
Total	1 454	49	1 503

Accuracy

100.0%

Counts

1 503 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
	36.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	47.9%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	5.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	10.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	20.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	13.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	6.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	3.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	36.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	28.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	23.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 #s(approx (pow (+ x 1) (/ 4 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
	23.8%	(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
	23.7%	(exp.f64 (log.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	55.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) n)))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (neg.f64 n)))
	48.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	53.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	50.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
	60.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
	60.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) n))))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
	31.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
	34.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
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	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
	34.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 4 136 to 1 104 computations (73.3% saved)

regimes118.0ms (0.4%)

Memory

6.6MiB live, 241.9MiB allocated

Counts

102 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))) (+.f64 (+.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))

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

Calls

4 calls:

31.0ms	(/.f64 #s(literal 1 binary64) n)
30.0ms	x
27.0ms	n
22.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
87.9%	2	`x`
88.3%	4	`n`
84.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
87.9%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes34.0ms (0.1%)

Memory

-4.7MiB live, 71.8MiB allocated

Counts

94 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))) (+.f64 (+.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) n))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))))

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.1%)

Memory

22.2MiB live, 64.5MiB allocated

Counts

86 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (*.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n))))))

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.1%)

Memory

-16.4MiB live, 61.0MiB allocated

Counts

82 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(exp.f64 (log.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n)) (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 #s(approx (pow (+ x 1) (/ 4 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))

Outputs

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.1%)

Memory

19.6MiB live, 57.8MiB allocated

Counts

81 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(exp.f64 (log.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n)) (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 #s(approx (pow (+ x 1) (/ 4 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) n)) (pow.f64 x (/.f64 #s(literal 4 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (neg.f64 n)))

Outputs

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.1%)

Memory

-40.6MiB live, 42.6MiB allocated

Counts

73 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
87.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

39.3MiB live, 39.3MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(exp.f64 (log.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.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 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
86.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.2%)

Memory

-8.8MiB live, 67.9MiB allocated

Counts

70 → 4

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(exp.f64 (log.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (+.f64 x (.f64 x x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) x))) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))

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

Calls

2 calls:

20.0ms	(/.f64 #s(literal 1 binary64) n)
18.0ms	x

Results

Accuracy	Segments	Branch
89.3%	4	`(/.f64 #s(literal 1 binary64) n)`
80.2%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes43.0ms (0.2%)

Memory

10.6MiB live, 51.4MiB allocated

Counts

48 → 4

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

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

Calls

3 calls:

16.0ms	(/.f64 #s(literal 1 binary64) n)
13.0ms	n
10.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
80.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
85.5%	5	`n`
85.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes20.0ms (0.1%)

Memory

-15.8MiB live, 20.9MiB allocated

Counts

45 → 4

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

1 calls:

12.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
85.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Memory

-15.6MiB live, 21.9MiB allocated

Counts

41 → 4

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (*.f64 x #s(literal -1/2 binary64)) n)) n) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

1 calls:

12.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
84.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

39 → 4

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* n (+ (* x -1/2) 1)) (* x 1/2)) (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (.f64 n n)))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 n n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

1 calls:

11.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
84.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.1%)

Memory

3.5MiB live, 41.9MiB allocated

Counts

35 → 5

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))

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

Calls

2 calls:

11.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	n

Results

Accuracy	Segments	Branch
85.2%	6	`n`
85.2%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0%)

Memory

-17.0MiB live, 26.0MiB allocated

Counts

28 → 5

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))

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

Calls

1 calls:

11.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
85.1%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes34.0ms (0.1%)

Memory

25.2MiB live, 64.0MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))))

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))

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

Calls

4 calls:

9.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
76.5%	8	`n`
77.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
67.2%	3	`x`
74.6%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes30.0ms (0.1%)

Memory

-0.2MiB live, 38.6MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))))

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))

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

Calls

4 calls:

7.0ms	n
7.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
66.4%	3	`x`
64.1%	9	`n`
60.3%	6	`(/.f64 #s(literal 1 binary64) n)`
50.4%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes10.0ms (0%)

Memory

-25.2MiB live, 12.9MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (+.f64 (log.f64 x) (neg.f64 x))) n))))

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
66.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) n))))

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
66.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

-9.9MiB live, 30.7MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))) x))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs

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

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

Calls

4 calls:

8.0ms	n
6.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
47.8%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
47.8%	1	`n`
49.6%	2	`(/.f64 #s(literal 1 binary64) n)`
50.1%	2	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes15.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (neg.f64 (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.5%	3	`n`
41.5%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
46.3%	2	`(/.f64 #s(literal 1 binary64) n)`
47.0%	4	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes7.0ms (0%)

Memory

-30.0MiB live, 8.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

4.0ms	n
2.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
47.1%	3	`n`
45.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -16.6b remaining (-36.4%)

Threshold costs -16.6b (-36.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
28.6%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
28.6%	1	`x`
28.6%	1	`n`
28.6%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch33.0ms (0.1%)

Memory

-5.5MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.1740978400389383	40.67733145546862

Samples

11.0ms	62×	1	valid
10.0ms	27×	2	valid
2.0ms	23×	0	valid
2.0ms	17×	0	exit

Compiler

Compiled 382 to 230 computations (39.8% saved)

Precisions

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

ival-pow: 12.0ms (62.7% of total)

adjust: 3.0ms (15.7% of total)

ival-div: 2.0ms (10.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.1740978400389383	40.67733145546862

Compiler

Compiled 431 to 258 computations (40.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.1740978400389383	40.67733145546862

Compiler

Compiled 424 to 265 computations (37.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.1740978400389383	40.67733145546862

Compiler

Compiled 424 to 265 computations (37.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.1740978400389383	40.67733145546862

Compiler

Compiled 403 to 251 computations (37.7% saved)

bsearch23.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.1740978400389383	40.67733145546862

Samples

10.0ms	32×	2	valid
4.0ms	44×	0	valid
4.0ms	20×	1	valid

Compiler

Compiled 340 to 209 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 10.0ms (68.2% of total)

adjust: 2.0ms (13.6% of total)

ival-div: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch39.0ms (0.1%)

Memory

-0.7MiB live, 36.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	5.308989253659482e-13	1.271188869674503e-6

Samples

15.0ms	34×	2	valid
11.0ms	55×	1	valid
5.0ms	55×	0	valid

Compiler

Compiled 396 to 247 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 17.0ms (69.5% of total)

adjust: 3.0ms (12.3% of total)

ival-div: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.4295700347375047e+151	3.689011363933773e+154
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.4295700347375047e+151	3.689011363933773e+154
0.0ms	4.827211529814769e-25	2.3338415851041362e-17
0.0ms	1.0580919636025705e-42	1.7571441020024153e-38
0.0ms	-6.735237163169216e-70	-2.0892875960100002e-70

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.048120680356700585	1.0
0.0ms	-inf	-2.220446049250313e-16

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch72.0ms (0.3%)

Memory

-14.5MiB live, 64.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	3.9466572789901455e+169	9.625329423883697e+172
18.0ms	0.1740978400389383	40.67733145546862

Samples

37.0ms	99×	2	valid
7.0ms	40×	1	valid
5.0ms	69×	0	valid
2.0ms	26×	0	exit

Compiler

Compiled 585 to 387 computations (33.8% saved)

Precisions

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

ival-pow: 30.0ms (68.3% of total)

adjust: 6.0ms (13.7% of total)

ival-div: 4.0ms (9.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9466572789901455e+169	9.625329423883697e+172
1.0ms	0.1740978400389383	40.67733145546862

Compiler

Compiled 585 to 394 computations (32.6% saved)

bsearch8.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9466572789901455e+169	9.625329423883697e+172
7.0ms	0.1740978400389383	40.67733145546862

Samples

2.0ms	10×	1	valid
2.0ms	5×	2	valid
1.0ms	17×	0	valid

Compiler

Compiled 564 to 380 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow: 3.0ms (78.5% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.9466572789901455e+169	9.625329423883697e+172

Compiler

Compiled 258 to 173 computations (32.9% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-16.486567483292315	-2.5644365699200533e-10

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-16.486567483292315	-2.5644365699200533e-10

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify159.0ms (0.6%)

Memory

-6.6MiB live, 68.5MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`distribute-lft-neg-in_binary64`
836×	`unsub-neg_binary64`
588×	`neg-mul-1_binary64`
504×	`neg-sub0_binary64`
468×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	328	3254
1	476	3251
2	653	3245
3	884	3243
4	1230	3243
5	1692	3243
6	2277	3243
7	2812	3243
8	3085	3243
9	3262	3243
10	3352	3243
11	3400	3243
12	3423	3243
13	3439	3243
14	3445	3243
15	3446	3243
16	3446	3243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 40 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))))
(if (<=.f64 x #s(literal 40 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))))
(if (<=.f64 x #s(literal 40 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n) (.f64 (log.f64 (fma.f64 x x x)) (.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) n)))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 x #s(literal 40 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 x #s(literal 40 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n)) (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) n)) (/.f64 x n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 x #s(literal 5902958103587057/4722366482869645213696 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))))) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx ( (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx ( (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (.f64 x n))))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ ( x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) (/ 1 n)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) n) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx ( (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (.f64 x n))))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs
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(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(approx (log (/ x (+ x 1))) (-.f64 (log.f64 x) x)) (neg.f64 n)))) (if (<=.f64 x #s(literal 102000000000000001633650429357906592595704545954547644572996305745631327040585474383923146920743147112604720923483891496774928209525152688510681525017786535505457898848256 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x)) (neg.f64 n)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
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(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(approx (log (/ x (+ x 1))) (log.f64 x)) (neg.f64 n)))) (if (<=.f64 x #s(literal 102000000000000001633650429357906592595704545954547644572996305745631327040585474383923146920743147112604720923483891496774928209525152688510681525017786535505457898848256 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x)) (neg.f64 n)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) (/.f64 #s(approx (log (/ x (+ x 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))) #s(approx (neg (/ (log (/ x (+ x 1))) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

soundness2.2s (7.8%)

Memory

-50.2MiB live, 1 483.7MiB allocated

Rules

11 538×	`lower-fma.f64`
11 538×	`lower-fma.f32`
6 968×	`lower-*.f64`
6 968×	`lower-*.f32`
6 616×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	63	26
2	407	26
3	4335	26
0	8433	22
0	2264	31854
1	7412	31776
0	9050	29130
0	71	486
0	127	466
1	542	450
2	4577	450
0	8235	449
0	2356	37389
1	7794	36102
0	8284	33188
0	84	580
0	128	550
1	549	530
2	4649	528
0	8221	476
0	69	527
0	127	469
1	574	444
2	5671	442
0	9427	428
0	1630	18836
1	5224	17660
0	8176	16393
0	240	1483
1	700	1377
2	1966	1308
3	6932	1308
0	8128	1194

Stop Event

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

Compiler

Compiled 2 934 to 1 307 computations (55.5% saved)

preprocess226.0ms (0.8%)

Memory: 6.0MiB live, 236.0MiB allocated
Compiler: Compiled 2 306 to 420 computations (81.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34