Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze208.0ms (0.8%)

Memory

8.2MiB live, 240.8MiB 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)

sample14.4s (53.3%)

Memory

-315.3MiB live, 16 616.5MiB allocated

Samples

9.6s	4 980×	5	exit
1.6s	2 734×	2	valid
919.0ms	2 879×	1	valid
537.0ms	2 295×	1	exit
317.0ms	2 643×	0	valid
246.0ms	1 644×	0	exit
55.0ms	12×	4	exit
9.0ms	3×	3	exit
1.0ms	2×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 12.2s

ival-pow: 10.0s (81.3% of total)

adjust: 1.2s (9.5% of total)

ival-div: 507.0ms (4.1% of total)

ival-sub: 355.0ms (2.9% of total)

ival-add: 229.0ms (1.9% of total)

ival-true: 17.0ms (0.1% of total)

exact: 12.0ms (0.1% of total)

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

Bogosity

explain277.0ms (1%)

Memory

-39.1MiB live, 452.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
104	1	(2.2289795791711256e+170 -7.94021554107061e+151)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
37	35	(3.133032822716169e-154 1.2230870878753482e-45)	-	`(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	105	1
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	72	0

Confusion

	Predicted +	Predicted -
+	119	0
-	58	79

Precision

0.672316384180791

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	58	1	78

Precision?

0.6685393258426966

Recall?

1.0

Freqs

test

number	freq
0	79
1	177

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms	248×	1	valid
79.0ms	158×	2	valid
9.0ms	106×	0	valid

Compiler

Compiled 87 to 28 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-pow: 108.0ms (70.7% of total)

ival-sub: 15.0ms (9.8% of total)

adjust: 14.0ms (9.2% of total)

ival-div: 9.0ms (5.9% of total)

ival-add: 5.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess49.0ms (0.2%)

Memory

22.2MiB live, 59.9MiB 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify12.0ms (0%)

Memory

-26.4MiB live, 18.8MiB 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))

localize90.0ms (0.3%)

Memory

-5.5MiB live, 189.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.014003759768442016	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	8.188836239124425	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	24.014556842804936	(-.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

37.0ms	79×	2	valid
33.0ms	124×	1	valid
5.0ms	53×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-pow: 40.0ms (66% of total)

adjust: 7.0ms (11.6% of total)

ival-div: 5.0ms (8.3% of total)

ival-sub: 5.0ms (8.3% of total)

ival-add: 3.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.2%)

Memory

41.5MiB live, 158.3MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(pow x (/ 1 n))
21.0ms	x	@	-inf	(pow x (/ 1 n))
6.0ms	x	@	inf	(pow x (/ 1 n))
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)))

simplify804.0ms (3%)

Memory

-25.2MiB live, 647.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 074×	`lower-fma.f64`
13 074×	`lower-fma.f32`
4 500×	`lower-*.f64`
4 500×	`lower-*.f32`
3 564×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

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

rewrite394.0ms (1.5%)

Memory

16.4MiB live, 306.2MiB 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	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8433	27

Stop Event

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

Counts

5 → 321

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

eval97.0ms (0.4%)

Memory: 0.3MiB live, 110.8MiB allocated
Compiler: Compiled 12 228 to 1 428 computations (88.3% saved)

prune134.0ms (0.5%)

Memory

-18.5MiB live, 182.8MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	464	18	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	465	18	483

Accuracy

99.8%

Counts

483 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.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))))))
	26.3%	(/.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))))
	26.3%	(/.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))))))
	26.3%	(/.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)))))
	26.4%	(/.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)))))
	17.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	26.3%	(-.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)))))
▶	62.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	21.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (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 (/.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)))
▶	27.5%	(-.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)))
	36.4%	(-.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)))
▶	41.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.3%	#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 #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))
	28.3%	#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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	38.8%	#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))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
▶	65.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Compiler

Compiled 1 352 to 594 computations (56.1% saved)

simplify420.0ms (1.6%)

Memory

22.2MiB live, 575.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
cost-diff	0	(/.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))))
cost-diff	0	(-.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)))))
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	(-.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	192	(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	320	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
cost-diff	512	(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	(/.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
cost-diff	5248	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))
cost-diff	7360	(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x))

Rules

13 346×	`lower-fma.f32`
13 340×	`lower-fma.f64`
3 662×	`lower-*.f32`
3 660×	`lower-*.f64`
2 256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	442
0	81	442
1	129	442
2	235	442
3	436	438
4	922	438
5	1975	429
6	4826	429
0	8171	419

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

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

localize332.0ms (1.2%)

Memory

-1.5MiB live, 703.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 x (/.f64 #s(literal 2 binary64) n))
accuracy	0.01953125	(/.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))))
accuracy	0.02734375	(/.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))))
accuracy	24.001745123607797	(-.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)))))
accuracy	0	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.014003759768442016	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.0703125	(/.f64 (log1p.f64 x) n)
accuracy	24.014556842804936	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.1015625	(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	0.393134072779311	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	11.62257659287197	#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	24.014556842804936	(-.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	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.014003759768442016	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.3238294151341433	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	24.014556842804936	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.3326950195368841	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	2.4929356195934247	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
accuracy	14.516506672349673	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	14.529171355380809	(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x))

Samples

145.0ms	79×	2	valid
56.0ms	59×	1	valid
28.0ms	80×	0	exit
12.0ms	28×	1	exit
6.0ms	10×	0	valid

Compiler

Compiled 417 to 41 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-pow: 81.0ms (39.9% of total)

ival-div: 29.0ms (14.3% of total)

adjust: 23.0ms (11.3% of total)

ival-pow2: 12.0ms (5.9% of total)

ival-add: 12.0ms (5.9% of total)

ival-log: 11.0ms (5.4% of total)

ival-sub: 10.0ms (4.9% of total)

ival-mult: 9.0ms (4.4% of total)

ival-exp: 7.0ms (3.4% of total)

ival-log1p: 7.0ms (3.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series203.0ms (0.7%)

Memory

6.9MiB live, 382.5MiB allocated

Counts

26 → 540

Calls

Call 1

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

Outputs
#s(alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x) (taylor inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 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)))))) (* 1/2 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 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))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) #<representation binary64>) () ())) ())
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Calls

135 calls:

Time	Variable		Point	Expression
44.0ms	n	@	inf	(/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n)
25.0ms	n	@	0	(/ (log (+ 1 x)) n)
25.0ms	n	@	inf	(/ (log (+ 1 x)) n)
12.0ms	x	@	0	(- (/ (pow (+ x 1) (/ 2 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow x (/ 2 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
8.0ms	x	@	-inf	(- (/ (pow (+ x 1) (/ 2 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow x (/ 2 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

simplify486.0ms (1.8%)

Memory

-3.3MiB live, 784.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 920×	`lower-fma.f64`
5 920×	`lower-fma.f32`
4 660×	`lower-*.f64`
4 660×	`lower-*.f32`
4 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1559	21220
1	5112	20145
0	8154	18608

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

Calls

Call 1

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

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

rewrite416.0ms (1.5%)

Memory

31.8MiB live, 583.6MiB allocated

Rules

4 056×	`lower-/.f32`
4 038×	`lower-/.f64`
3 492×	`lower-fma.f32`
3 486×	`lower-fma.f64`
3 476×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	351
0	81	307
1	376	307
2	3318	307
0	9162	302

Stop Event

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

Counts

26 → 956

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 n (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) #s(literal 2 binary64)))) (neg.f64 (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log1p.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (neg.f64 (log.f64 x))))
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(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(.f64 (pow.f64 #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 x (/.f64 #s(literal 2 binary64) n)))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))

eval344.0ms (1.3%)

Memory: 6.2MiB live, 593.4MiB allocated
Compiler: Compiled 87 719 to 5 702 computations (93.5% saved)

prune550.0ms (2%)

Memory

-31.7MiB live, 537.8MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	2 056	25	2 081
Fresh	3	10	13
Picked	4	1	5
Done	0	0	0
Total	2 063	36	2 099

Accuracy

99.9%

Counts

2 099 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.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))))))
	26.3%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.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 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
	26.3%	(/.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)))))
	26.6%	(/.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))))
	26.4%	(/.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)))))
	26.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))))
	17.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	22.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	20.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (.f64 n n) #s(literal -1/2 binary64))) (.f64 n (.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.0%	(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	10.6%	(-.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)))
▶	31.9%	(-.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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.4%	(-.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)))
	13.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.2%	(-.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))))
✓	41.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.8%	(-.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))))
▶	31.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	15.8%	(.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.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))) #s(literal -2 binary64)))
▶	32.3%	#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 #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))
▶	28.3%	#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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	38.8%	#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))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))))
	47.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (log.f64 x)) n))
	46.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
▶	65.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))))
	45.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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 n n))))

Compiler

Compiled 2 378 to 1 062 computations (55.3% saved)

simplify1.0s (3.8%)

Memory

2.2MiB live, 483.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
cost-diff	0	#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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
cost-diff	960	(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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	7680	(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))
cost-diff	0	#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
cost-diff	0	(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.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 (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n))
cost-diff	0	(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n))
cost-diff	12928	(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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)))))

Rules

12 810×	`lower-fma.f32`
12 800×	`lower-fma.f64`
3 116×	`lower-+.f32`
3 102×	`lower-+.f64`
2 950×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1149
0	145	1099
1	234	1099
2	405	1099
3	829	1076
4	1789	1061
5	4602	1040
0	8066	1025

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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n))
(/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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)))))
n
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
(*.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 #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 #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))
x
#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.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))
(/.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)
(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))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#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 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
#s(literal 1/2 binary64)
(.f64 x (.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) 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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
#s(literal 1/2 binary64)
(.f64 x (.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.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)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (*.f64 x x))))
(/.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 #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 x x)
(/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (*.f64 n n)))))
(/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))
#s(literal 1/24 binary64)
(pow.f64 n #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (*.f64 n n))))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(/.f64 #s(literal -1/4 binary64) n)
#s(literal -1/4 binary64)
(/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n)))
(.f64 x (.f64 x x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)

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

localize644.0ms (2.4%)

Memory

39.2MiB live, 743.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.807904296923474	(/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (*.f64 x x)))
accuracy	9.159566749134893	(/.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))
accuracy	11.816340200599079	(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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
accuracy	28.283999022465572	#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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
accuracy	3.6015625000000004	(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
accuracy	6.029346884369262	(.f64 x (.f64 n n))
accuracy	8.636670588978493	(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))
accuracy	28.3752850068633	#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))
accuracy	0.5120325382298614	(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))
accuracy	7.1717312466266065	#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
accuracy	24.014556842804936	(-.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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	24.325940048164053	#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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
accuracy	13.429977248925415	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	19.558541796279577	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	24.014556842804936	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	0.4928512695368841	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	19.45275197424089	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n))
accuracy	23.439092609297884	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	23.453455912064747	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

221.0ms	122×	1	valid
215.0ms	81×	2	valid
24.0ms	39×	0	exit
8.0ms	14×	0	valid

Compiler

Compiled 917 to 77 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 401.0ms

adjust: 112.0ms (27.9% of total)

ival-pow: 101.0ms (25.2% of total)

ival-div: 57.0ms (14.2% of total)

ival-add: 37.0ms (9.2% of total)

ival-mult: 31.0ms (7.7% of total)

const: 18.0ms (4.5% of total)

ival-log: 13.0ms (3.2% of total)

ival-sub: 11.0ms (2.7% of total)

ival-log1p: 10.0ms (2.5% of total)

ival-pow2: 9.0ms (2.2% of total)

exact: 1.0ms (0.2% of total)

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

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

series93.0ms (0.3%)

Memory

-8.8MiB live, 143.1MiB allocated

Counts

25 → 564

Calls

Call 1

Inputs
#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) n)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ ( 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n)) #<representation binary64>) () ())
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#s(alt #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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (patch #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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) #<representation binary64>) () ())
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#s(alt (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 n n)) (patch (.f64 x (.f64 n n)) #<representation binary64>) () ())
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Outputs
#s(alt (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (taylor 0 n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (taylor 0 n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (taylor 0 n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (taylor 0 n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (* n (- (log (+ 1 x)) (log x))) (taylor inf n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))) (taylor inf n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))) (taylor inf n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))) (taylor inf n) (#s(alt (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) (patch (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (.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))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (/ 11/24 (* n (pow x 3))) (* 1/24 (/ 1 (* (pow n 3) (pow x 3))))) (+ (* 1/4 (/ 1 (* (pow n 2) (pow x 3)))) (* 1/4 (/ 1 (pow x 3))))) n) (taylor inf n) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (* n (pow x 3))) (taylor -inf n) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 11/24 (/ 1 (* n (pow x 3))))) n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 11/24 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* n (pow x 3))))) n)) (* 1/4 (/ 1 (pow x 3)))) n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 1/24 (/ 1 (* n (pow x 3))))) n)) (* 11/24 (/ 1 (pow x 3)))) n)) (* 1/4 (/ 1 (pow x 3)))) n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor 0 x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor 0 x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor 0 x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor 0 x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor -inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor -inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor -inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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)) (taylor -inf x) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
5.0ms	n	@	-inf	(/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))
4.0ms	x	@	0	(+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n))
4.0ms	n	@	-inf	(/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x)
2.0ms	n	@	inf	(+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n))
2.0ms	n	@	inf	(/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x)

simplify416.0ms (1.5%)

Memory

11.2MiB live, 575.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 764×	`lower-fma.f64`
6 764×	`lower-fma.f32`
5 292×	`lower-+.f64`
5 292×	`lower-+.f32`
4 982×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1379	16065
1	4401	15423
0	8335	14575

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))
(* n (- (log (+ 1 x)) (log x)))
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))
(* n (- (log (+ 1 x)) (log x)))
(* -1 (* n (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
(* -1 (* n (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
(* -1 (* n (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))))
(/ (+ n (* -1 (log (/ 1 x)))) x)
(/ (+ n (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ n x)) (* 1/2 (/ (+ 1 (log (/ 1 x))) x))))) x)
(/ (+ n (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ n x)) (+ (* 1/3 (/ n (pow x 2))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) x)) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (pow x 2)))))))) x)
(/ (+ n (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 3))) (+ (* 1/3 (/ n (pow x 2))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) x)) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (pow x 2)))))))))) x)
(* -1 (/ (+ (* -1 n) (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))
(* -1 (/ (+ (* -1 n) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 n) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))) x))
(* -1 (/ (+ (* -1 n) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 n) (* 1/2 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (+ (* -1/2 n) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)))) x))
(* -1 (/ (+ (* -1 n) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 n) (* 1/2 (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (+ (* -1/3 n) (* 1/2 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 n) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)))) x))
(- 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)
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Outputs
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rewrite368.0ms (1.4%)

Memory

9.2MiB live, 554.7MiB allocated

Rules

5 140×	`lower-*.f32`
5 126×	`lower-*.f64`
4 424×	`lower-/.f32`
4 388×	`lower-/.f64`
4 164×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	747
0	145	723
1	680	691
2	7857	691
0	8104	647

Stop Event

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

Counts

25 → 351

Calls

Call 1

Inputs
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) 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))
(-.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 #s(literal -1/2 binary64) x #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 #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))
#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
(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))
#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))
(/.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)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) 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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(.f64 x (.f64 n n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.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 x))
(/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (*.f64 x x)))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(+.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64)) (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(fma.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (pow.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64))) (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (pow.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)) n))
(neg.f64 (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)) (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)))))
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eval157.0ms (0.6%)

Memory: 14.9MiB live, 279.3MiB allocated
Compiler: Compiled 60 983 to 3 118 computations (94.9% saved)

prune218.0ms (0.8%)

Memory

22.0MiB live, 259.7MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 128	16	1 144
Fresh	6	24	30
Picked	3	2	5
Done	0	1	1
Total	1 137	43	1 180

Accuracy

99.9%

Counts

1 180 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.9%	(/.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))))))
	26.3%	(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.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))))))
	26.3%	(/.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)))))
	26.6%	(/.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))))
	26.4%	(/.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)))))
▶	26.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))))
	22.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	7.7%	(-.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	10.6%	(-.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)))
✓	31.9%	(-.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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.8%	(-.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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	36.4%	(-.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)))
▶	11.3%	(-.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)))
	13.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.2%	(-.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))))
✓	41.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.8%	(-.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))))
✓	31.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	15.8%	(.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.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))) #s(literal -2 binary64)))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (-.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))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))))
	47.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (.f64 n (log.f64 x))) (*.f64 n n)))
▶	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (log.f64 x)) n))
	46.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) n)) n))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.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))))) n)) n))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x)) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (neg.f64 x))) (*.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))))) n)) n))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* n (- (log (+ 1 x)) (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 x) n)))) n)) n))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* n (- (log (+ 1 x)) (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/.f64 (+.f64 (log.f64 x) n) x)) n)) n))
	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* n (- (log (+ 1 x)) (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) n)) n))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) n)) x))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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 n x))))))))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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 n x)))))))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x n))))
	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))))

Compiler

Compiled 2 628 to 1 160 computations (55.9% saved)

simplify451.0ms (1.7%)

Memory

-27.5MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))
cost-diff	0	(/.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))))))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
cost-diff	1792	(fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))))
cost-diff	7680	(/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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))))
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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Rules

4 790×	`lower-fma.f32`
4 782×	`lower-fma.f64`
2 750×	`lower-*.f32`
2 744×	`lower-*.f64`
1 860×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	986
0	88	844
1	140	844
2	208	776
3	326	752
4	513	752
5	830	702
6	1376	702
7	3339	702
8	6407	702
0	8135	688

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

localize409.0ms (1.5%)

Memory

34.0MiB live, 297.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
accuracy	0.27084445354630987	#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
accuracy	11.62257659287197	#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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
accuracy	24.043332496257708	(fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))
accuracy	0.12890625	(/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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))))
accuracy	0.15198004138909577	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))))
accuracy	0.3520669881438929	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	24.018631530331692	(-.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)))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
accuracy	0.014003759768442016	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	8.072825751267642	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
accuracy	24.014556842804936	(-.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)))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
accuracy	6.480714127505149	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	8.072825751267642	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
accuracy	24.014556842804936	(-.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	(log.f64 x)
accuracy	0.12890625	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	6.266342617561259	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	14.50964010246889	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

159.0ms	75×	1	valid
125.0ms	77×	2	valid
28.0ms	80×	0	exit
11.0ms	13×	1	exit
4.0ms	10×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 511 to 46 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-pow: 99.0ms (36.9% of total)

ival-div: 88.0ms (32.8% of total)

adjust: 23.0ms (8.6% of total)

ival-mult: 19.0ms (7.1% of total)

ival-add: 17.0ms (6.3% of total)

ival-sub: 7.0ms (2.6% of total)

ival-log: 6.0ms (2.2% of total)

ival-log1p: 5.0ms (1.9% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series158.0ms (0.6%)

Memory

1.5MiB live, 122.5MiB allocated

Counts

23 → 504

Calls

Call 1

Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (patch (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (patch #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x n)) #<representation binary64>) () ())
#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))) (patch (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))))) (patch (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))))) (patch (/.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))))) #<representation binary64>) () ())
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Outputs
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Calls

126 calls:

Time	Variable		Point	Expression
20.0ms	n	@	0	(/ (- (log (+ 1 x)) (log x)) n)
7.0ms	x	@	inf	(/ (+ (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (neg (pow x (* (/ 1 n) 3)))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))))
6.0ms	x	@	-inf	(/ (+ (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (neg (pow x (* (/ 1 n) 3)))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))))
5.0ms	x	@	inf	(+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))
5.0ms	n	@	inf	(/ (- (log (+ 1 x)) (log x)) n)

simplify614.0ms (2.3%)

Memory

-23.5MiB live, 604.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 968×	`lower-fma.f64`
6 968×	`lower-fma.f32`
5 496×	`lower-*.f64`
5 496×	`lower-*.f32`
4 630×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1954	28133
1	6516	28103
0	8165	25965

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 503

Calls

Call 1

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

rewrite370.0ms (1.4%)

Memory

5.0MiB live, 618.2MiB allocated

Rules

3 886×	`lower-fma.f32`
3 878×	`lower-fma.f64`
3 758×	`lower-/.f32`
3 742×	`lower-/.f64`
3 450×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	746
0	88	520
1	400	373
2	3463	373
0	8885	361

Stop Event

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

Counts

23 → 548

Calls

Call 1

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

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

eval294.0ms (1.1%)

Memory: 22.3MiB live, 439.3MiB allocated
Compiler: Compiled 102 675 to 4 470 computations (95.6% saved)

prune335.0ms (1.2%)

Memory

-8.0MiB live, 479.5MiB allocated

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1 616	35	1 651
Fresh	25	10	35
Picked	4	1	5
Done	0	3	3
Total	1 645	49	1 694

Accuracy

99.9%

Counts

1 694 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(/.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (fma.f64 (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 #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))))))
	26.6%	(/.f64 (-.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))) (.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 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (fma.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)))))
	26.6%	(/.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))))
	16.8%	(/.f64 (+.f64 (pow.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(literal 9 binary64)) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))) (.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (fma.f64 (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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))))) (pow.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(literal 6 binary64)))))
	16.5%	(/.f64 (.f64 (-.f64 (pow.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (fma.f64 (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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))) (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
	26.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (-.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)))))
	11.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (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 #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)))))
✓	26.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.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)))))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(literal 2 binary64)) (-.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)))))
	22.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	10.6%	(-.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)))
✓	31.9%	(-.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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	14.0%	(-.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)))
	7.3%	(-.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)))
	36.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.3%	(-.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)))
	3.1%	(-.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)))
	10.1%	(-.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)))
✓	41.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	45.6%	#s(approx (/ (+ (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (neg (pow x (* (/ 1 n) 3)))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))) (/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) (log1p.f64 x) (.f64 (log.f64 x) #s(literal -3 binary64)))) n))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (-.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))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
	49.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (log.f64 x)) n))
	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
	42.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))
	42.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 n (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) n)) n))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* n (- (log (+ 1 x)) (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 x) n)))) n)) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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)) n))
	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n))
	25.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) n))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) n)) x))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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 n x))))))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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 n x)))))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
	22.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) 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)))
	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x n))))

Compiler

Compiled 3 946 to 997 computations (74.7% saved)

regimes117.0ms (0.4%)

Memory

26.7MiB live, 180.9MiB allocated

Counts

95 → 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 (/ (- (log (+ 1 x)) (log x)) 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -1/2 binary64) x #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 (/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 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))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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)) 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 (/ (- (log (+ 1 x)) (log x)) 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 (/ (- (log (+ 1 x)) (log x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) (.f64 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (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)) #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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* n (- (log (+ 1 x)) (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/.f64 (+.f64 (log.f64 x) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) 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 (fma.f64 #s(literal -1/2 binary64) x #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)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(literal 2 binary64)) (-.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)) (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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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.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))))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.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))) #s(literal -2 binary64)))
(/.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)))))
(/.f64 (+.f64 (pow.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(literal 9 binary64)) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))) (.f64 (fma.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (fma.f64 (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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 x #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))))) (pow.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 #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(literal 6 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.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))))))

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))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))

(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

4 calls:

30.0ms	x
29.0ms	(/.f64 #s(literal 1 binary64) n)
28.0ms	n
23.0ms	(-.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
78.4%	3	`x`
91.8%	4	`n`
89.1%	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)))`
90.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes30.0ms (0.1%)

Memory

-28.9MiB live, 47.2MiB allocated

Counts

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

(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
90.5%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes54.0ms (0.2%)

Memory

12.1MiB live, 90.2MiB allocated

Counts

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

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

Calls

3 calls:

17.0ms	n
17.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
85.5%	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)))`
87.1%	4	`n`
87.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes28.0ms (0.1%)

Memory

7.8MiB live, 44.2MiB allocated

Counts

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

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

Calls

2 calls:

15.0ms	n
11.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
87.1%	5	`n`
87.1%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
87.1%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.1%)

Memory

-4.1MiB live, 32.9MiB allocated

Counts

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

Calls

2 calls:

9.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	(-.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
83.0%	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)))`
87.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes29.0ms (0.1%)

Memory

10.5MiB live, 47.3MiB allocated

Counts

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

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

Calls

3 calls:

12.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	n
7.0ms	(-.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
83.0%	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)))`
75.7%	7	`n`
75.5%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes311.0ms (1.1%)

Memory

-130.5MiB live, 57.8MiB allocated

Counts

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

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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) 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:

11.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n
8.0ms	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
65.0%	8	`n`
65.3%	8	`(/.f64 #s(literal 1 binary64) n)`
65.2%	4	`x`
56.6%	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)))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory

15.5MiB live, 15.5MiB 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 (/ (- (log (+ 1 x)) (log x)) 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -1/2 binary64) x #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 (/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 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))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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)) 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 (/ (- (log (+ 1 x)) (log x)) 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 (/ (- (log (+ 1 x)) (log x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) (.f64 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) 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
62.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0%)

Memory

-24.0MiB live, 12.9MiB allocated

Counts

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

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.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))) 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:

10.0ms

Results

Accuracy	Segments	Branch
62.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.1%)

Memory

33.7MiB live, 65.9MiB allocated

Counts

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

(-.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:

13.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	x
6.0ms	n
5.0ms	(-.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
48.2%	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)))`
46.3%	3	`n`
45.9%	2	`(/.f64 #s(literal 1 binary64) n)`
50.1%	2	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes14.0ms (0.1%)

Memory

-31.0MiB live, 13.1MiB allocated

Counts

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

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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)) 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:

13.0ms

Results

Accuracy	Segments	Branch
50.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

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

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) 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:

4.0ms

Results

Accuracy	Segments	Branch
50.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0%)

Memory

-12.8MiB live, 26.1MiB allocated

Counts

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

Calls

3 calls:

4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	x
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
44.8%	2	`(/.f64 #s(literal 1 binary64) n)`
42.4%	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)))`
44.5%	2	`x`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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 (/ (- (log (+ 1 x)) (log x)) 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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.8%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated

Accuracy

Total -18.5b remaining (-42.2%)

Threshold costs -18.5b (-42.2%)

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)
2.0ms	x
1.0ms	n
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
31.4%	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)))`
31.4%	1	`x`
31.4%	1	`n`
31.4%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.585987266860133e-11	5.1297843739506224e-8
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.585987266860133e-11	5.1297843739506224e-8
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.1297843739506224e-8	0.00039114294731057084
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9826545556303957e+170	2.2586290129580467e+174
0.0ms	5.1297843739506224e-8	0.00039114294731057084
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9826545556303957e+170	2.2586290129580467e+174
0.0ms	5.1297843739506224e-8	0.00039114294731057084
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9826545556303957e+170	2.2586290129580467e+174
0.0ms	5.1297843739506224e-8	0.00039114294731057084
0.0ms	-1.890446510163332e-86	-8.608362768262254e-90

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.766223860031005e-9	0.14236502738336232
0.0ms	-0.030608958036730582	0.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch63.0ms (0.2%)

Memory

-13.3MiB live, 104.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	1.919193205449707e+144	2.0945831727244156e+144
33.0ms	0.008865496021237493	1066.5599670332283
23.0ms	5.83786699033003e-240	1.6575475064149773e-239

Samples

20.0ms	94×	1	valid
19.0ms	47×	2	valid
8.0ms	99×	0	valid
1.0ms	7×	0	exit

Compiler

Compiled 485 to 317 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow: 26.0ms (64.9% of total)

ival-div: 5.0ms (12.5% of total)

adjust: 4.0ms (10% of total)

ival-add: 2.0ms (5% of total)

ival-sub: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.919193205449707e+144	2.0945831727244156e+144
1.0ms	0.008865496021237493	1066.5599670332283

Compiler

Compiled 375 to 252 computations (32.8% saved)

bsearch23.0ms (0.1%)

Memory

-0.7MiB live, 38.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.919193205449707e+144	2.0945831727244156e+144
21.0ms	0.008865496021237493	1066.5599670332283

Samples

6.0ms	29×	1	valid
6.0ms	19×	2	valid
4.0ms	48×	0	valid

Compiler

Compiled 366 to 252 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 8.0ms (56.8% of total)

ival-div: 3.0ms (21.3% of total)

adjust: 2.0ms (14.2% of total)

ival-add: 1.0ms (7.1% of total)

ival-sub: 1.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.919193205449707e+144	2.0945831727244156e+144

Compiler

Compiled 50 to 34 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.919193205449707e+144	2.0945831727244156e+144

Compiler

Compiled 46 to 31 computations (32.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.919193205449707e+144	2.0945831727244156e+144

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-605207982302.7379	-0.06058751578310154

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-605207982302.7379	-0.06058751578310154

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify77.0ms (0.3%)

Memory

15.6MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-lft-neg-in_binary64`
532×	`unsub-neg_binary64`
360×	`neg-mul-1_binary64`
308×	`neg-sub0_binary64`
284×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1281
1	244	1271
2	339	1262
3	492	1262
4	717	1262
5	934	1262
6	1204	1262
7	1521	1262
8	1811	1262
9	2057	1262
10	2184	1262
11	2222	1262
12	2226	1262
13	2226	1262

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 7737125245533627/154742504910672534362390528 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 7737125245533627/154742504910672534362390528 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 binary64)) (-.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))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 (+.f64 x n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 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)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) 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 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 binary64)) (-.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))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999976986103364828435105866493856869550354915370776598145356642472906604169238853083206186863000925026831505293584046586944536955141361661791768572429254787072 binary64)) (-.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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) n)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

soundness1.2s (4.5%)

Memory

-22.2MiB live, 933.2MiB allocated

Rules

13 074×	`lower-fma.f64`
13 074×	`lower-fma.f32`
6 968×	`lower-fma.f64`
6 968×	`lower-fma.f32`
5 920×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1954	28133
1	6516	28103
0	8165	25965
0	1559	21220
1	5112	20145
0	8154	18608
0	8	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8433	27
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380
0	52	746
0	88	520
1	400	373
2	3463	373
0	8885	361

Stop Event

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

Compiler

Compiled 1 252 to 520 computations (58.5% saved)

preprocess89.0ms (0.3%)

Memory: 7.7MiB live, 200.0MiB allocated
Compiler: Compiled 1 328 to 272 computations (79.5% 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

start0.0ms (0%)

analyze208.0ms (0.8%)

sample14.4s (53.3%)

explain277.0ms (1%)

preprocess49.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0%)

localize90.0ms (0.3%)

series67.0ms (0.2%)

simplify804.0ms (3%)

rewrite394.0ms (1.5%)

eval97.0ms (0.4%)

prune134.0ms (0.5%)

simplify420.0ms (1.6%)

localize332.0ms (1.2%)

series203.0ms (0.7%)

simplify486.0ms (1.8%)

rewrite416.0ms (1.5%)

eval344.0ms (1.3%)

prune550.0ms (2%)

simplify1.0s (3.8%)

localize644.0ms (2.4%)

series93.0ms (0.3%)

simplify416.0ms (1.5%)

rewrite368.0ms (1.4%)

eval157.0ms (0.6%)

prune218.0ms (0.8%)

simplify451.0ms (1.7%)

localize409.0ms (1.5%)

series158.0ms (0.6%)

simplify614.0ms (2.3%)

rewrite370.0ms (1.4%)

eval294.0ms (1.1%)

prune335.0ms (1.2%)

regimes117.0ms (0.4%)

regimes30.0ms (0.1%)

regimes54.0ms (0.2%)

regimes28.0ms (0.1%)

regimes11.0ms (0%)

regimes21.0ms (0.1%)

regimes29.0ms (0.1%)

regimes311.0ms (1.1%)

regimes8.0ms (0%)

regimes11.0ms (0%)

regimes32.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes13.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch63.0ms (0.2%)

bsearch1.0ms (0%)

bsearch23.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify77.0ms (0.3%)

soundness1.2s (4.5%)

preprocess89.0ms (0.3%)

end0.0ms (0%)

Profiling

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