Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze226.0ms (0.7%)

Memory

6.8MiB live, 326.9MiB allocated; 50ms collecting garbage

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)

sample22.9s (75.8%)

Memory

-143.4MiB live, 21 540.5MiB allocated; 6.0s collecting garbage

Samples

17.1s	7 117×	5	exit
2.0s	2 954×	1	valid
1.8s	2 853×	2	valid
264.0ms	2 449×	0	valid
170.0ms	1 483×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 19.5s

ival-pow: 16.4s (84% of total)

adjust: 1.7s (8.6% of total)

ival-div: 613.0ms (3.1% of total)

ival-sub: 414.0ms (2.1% of total)

ival-add: 377.0ms (1.9% of total)

exact: 19.0ms (0.1% of total)

ival-true: 19.0ms (0.1% of total)

ival-assert: 11.0ms (0.1% of total)

Bogosity

explain357.0ms (1.2%)

Memory

-2.5MiB live, 246.3MiB allocated; 59ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
120	1	(1.7922441457525434e+95 -3.709148238803563e+227)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
34	30	(4.123291618076143e-305 -1.0892328216935178e-119)	-	`(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	120	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	64	0
`-.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)))`	nan-rescue	1	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	19
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	36

Confusion

	Predicted +	Predicted -
+	136	0
-	49	71

Precision

0.7351351351351352

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	49	0	71

Precision?

0.7351351351351352

Recall?

1.0

Freqs

test

number	freq
0	71
1	185

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms	258×	1	valid
95.0ms	170×	2	valid
7.0ms	84×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-pow: 125.0ms (68.2% of total)

adjust: 37.0ms (20.2% of total)

ival-div: 9.0ms (4.9% of total)

ival-add: 5.0ms (2.7% of total)

ival-sub: 5.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	28	71
2	31	71
0	8	13
0	13	13
1	16	13
0	16	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)))

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(-.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 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	16	34
0	16	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)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize111.0ms (0.4%)

Memory

17.7MiB live, 111.9MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	7.851791135236114	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	27.46630068370273	(-.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

55.0ms	129×	1	valid
43.0ms	85×	2	valid
4.0ms	42×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-pow: 66.0ms (74.7% of total)

adjust: 12.0ms (13.6% of total)

ival-div: 4.0ms (4.5% of total)

ival-add: 3.0ms (3.4% of total)

ival-sub: 3.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.3%)

Memory

-26.8MiB live, 69.8MiB allocated; 37ms collecting garbage

Counts

5 → 49

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
(- 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)))
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))))
(+ 1 x)
(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 (* -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)))))
x
(* x (+ 1 (/ 1 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) (* -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 x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 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 (/ (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 (/ (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 (+ 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 (/ (+ (* -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 (/ (+ (* -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)))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
26.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
8.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify168.0ms (0.6%)

Memory

23.5MiB live, 153.0MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1453
1	845	1330
2	3085	1283
0	8423	1173

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

rewrite187.0ms (0.6%)

Memory

-2.5MiB live, 96.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	59	31
2	373	31
3	3875	31
0	8189	27

Stop Event

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

Counts

5 → 295

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
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
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(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)))
(pow.f64 (exp.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 x))
(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 x (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 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 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 x (.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 x (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log.f64 x) n)))
(sqrt.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))))
(fabs.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fabs.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (.f64 (.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(exp.f64 (/.f64 (log.f64 x) n))

eval45.0ms (0.1%)

Memory: 15.1MiB live, 58.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 436 to 1 333 computations (85.9% saved)

prune16.0ms (0.1%)

Memory

-23.2MiB live, 23.8MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	348	13	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	14	362

Accuracy

99.8%

Counts

362 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	57.0%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	17.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.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)))
▶	37.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	42.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
▶	63.2%	#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))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶	72.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))
▶	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 841 to 510 computations (39.4% saved)

simplify122.0ms (0.4%)

Memory

-7.5MiB live, 46.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	695
0	104	695
1	166	695
2	308	695
3	858	695
4	3313	693
0	8359	693

Stop Event

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

Calls

Call 1

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

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

localize414.0ms (1.4%)

Memory

44.5MiB live, 326.7MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4209175293053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	20.43417832421598	(-.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))
accuracy	22.800146646630857	#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	24.347189006835727	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	4.398437500000001	(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy	7.181244337636667	(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy	27.46630068370273	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	30.939159318657154	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0.014003759768442016	(exp.f64 (/.f64 (log.f64 x) n))
accuracy	0.26953125	(/.f64 (log.f64 x) n)
accuracy	29.804651341943075	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
accuracy	34.13906140098805	(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.01171875	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	18.100656135640815	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	27.46630068370273	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	17.051111275252442	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))
accuracy	19.01848694190902	(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x))
accuracy	24.347189006835727	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.36685412309096	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

202.0ms	161×	1	valid
155.0ms	86×	2	valid
4.0ms	9×	0	valid

Compiler

Compiled 641 to 57 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-pow: 84.0ms (27.6% of total)

adjust: 70.0ms (23% of total)

ival-div: 35.0ms (11.5% of total)

ival-add: 22.0ms (7.2% of total)

ival-mult: 20.0ms (6.6% of total)

ival-sub: 15.0ms (4.9% of total)

ival-log: 13.0ms (4.3% of total)

const: 12.0ms (3.9% of total)

ival-log1p: 12.0ms (3.9% of total)

ival-pow2: 9.0ms (3% of total)

ival-neg: 5.0ms (1.6% of total)

ival-expm1: 3.0ms (1% of total)

ival-exp: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series154.0ms (0.5%)

Memory

-16.2MiB live, 86.0MiB allocated; 35ms collecting garbage

Counts

25 → 241

Calls

Call 1

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

Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(- 1 (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)))
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(* -1 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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 (/ (log x) n))
(/ (log x) n)
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* 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))
(/ (- (* -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))
(- (* -1/2 (/ (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))
(* -1/2 (/ (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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
(- (+ (* 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)))
(pow (log x) 2)
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
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(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
(- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x)))
(- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)))
(+ 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 (/ (+ (* -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)))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	n	@	0	((/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
20.0ms	x	@	-inf	((/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
19.0ms	x	@	inf	((/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
18.0ms	n	@	inf	((/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
14.0ms	n	@	-inf	((/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))

simplify166.0ms (0.5%)

Memory

5.5MiB live, 97.4MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1275	9630
1	4455	9137
0	8148	8585

Stop Event

1×	iter limit
1×	node limit

Counts

241 → 241

Calls

Call 1

Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(- 1 (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)))
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(* -1 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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 (/ (log x) n))
(/ (log x) n)
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* 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))
(/ (- (* -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))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
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(- (+ (* -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))
(* -1/2 (/ (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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
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(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
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(pow (log x) 2)
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (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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(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) (neg.f64 n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (neg.f64 (log.f64 x))) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 n)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 n)) (neg.f64 (log.f64 x))) (neg.f64 n))
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))
(+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (neg.f64 n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))
(+.f64 (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 n))) (neg.f64 n)) #s(literal 1 binary64))
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) (neg.f64 n))) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n))
(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (neg.f64 n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) (neg.f64 n)) #s(literal 1/3 binary64)) (neg.f64 n))

rewrite191.0ms (0.6%)

Memory

-20.6MiB live, 117.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	501
0	104	501
1	453	501
2	3551	501
0	8379	501

Stop Event

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

Counts

25 → 321

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.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)))) (neg.f64 n))
(/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.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.f64 x)) (neg.f64 n)))
(/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.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(literal 2 binary64))) (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.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 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.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)) (neg.f64 n))
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(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(fma.f64 x (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n))) x))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n))))
(+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x)) (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x)))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) x))
(/.f64 (/.f64 (-.f64 (.f64 n #s(literal 1/6 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 n #s(literal 3 binary64))) n)
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 n #s(literal 1/6 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (pow.f64 n #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 n)) (.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))))) (pow.f64 (neg.f64 n) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) n) (.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)))) (*.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) n))
(/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 n)) (.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))))) (*.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 n)))
(/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 n #s(literal 1/6 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 n #s(literal 4 binary64)))
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(-.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 n #s(literal 9 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64))))))
(-.f64 (/.f64 (.f64 n #s(literal 1/6 binary64)) (pow.f64 n #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 n #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n))
(*.f64 (pow.f64 (fabs.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(pow.f64 (fabs.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(log.f64 (pow.f64 x (log.f64 x)))

eval115.0ms (0.4%)

Memory: 7.4MiB live, 96.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 41 632 to 4 046 computations (90.3% saved)

prune45.0ms (0.1%)

Memory

6.4MiB live, 62.2MiB allocated; 8ms collecting garbage

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	639	23	662
Fresh	3	5	8
Picked	4	1	5
Done	0	1	1
Total	646	30	676

Accuracy

100.0%

Counts

676 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	27.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) (neg.f64 n))) #s(literal 1 binary64)) (neg.f64 n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	26.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (neg.f64 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	37.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	18.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))) n)))
▶	62.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
	28.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
▶	36.9%	#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 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x)) 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 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	34.7%	#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 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))
	47.3%	#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 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 (-.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 n n))))
	36.9%	#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 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) n) x)))
	32.1%	#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 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) n) x) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) (.f64 (.f64 x x) n)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	32.3%	#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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n)) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)) (/.f64 (log.f64 x) n))))
▶	38.1%	#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 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log.f64 x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n))) n)) x))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))) x)))
	47.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (neg.f64 (log.f64 x))) (neg.f64 n))))
▶	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n)))

Compiler

Compiled 3 124 to 1 763 computations (43.6% saved)

simplify177.0ms (0.6%)

Memory

0.3MiB live, 88.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n)))
cost-diff	0	#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 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
cost-diff	2	(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n))
cost-diff	2	(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	1	(fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	1	(+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))
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 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x))
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 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x)) 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 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x)) n))
cost-diff	1	(fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff	0	(neg.f64 (log.f64 x))
cost-diff	0	(/.f64 (neg.f64 (log.f64 x)) n)
cost-diff	0	#s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n)))
cost-diff	0	(pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
cost-diff	23	(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	938
0	130	933
1	223	924
2	505	921
3	1674	852
4	7197	852
0	8358	820

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

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

localize573.0ms (1.9%)

Memory

-29.9MiB live, 367.7MiB allocated; 98ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28125	(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
accuracy	0.4209175293053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	22.800146646630857	#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 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
accuracy	25.76990321304659	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n)))
accuracy	2.596286592733989	(fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	3.8236750641016624	(fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n))
accuracy	27.46630068370273	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	30.939159318657154	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0.203125	(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x)) n)
accuracy	0.26953125	(/.f64 (log.f64 x) n)
accuracy	22.800146646630857	#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 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x)) n))
accuracy	35.42145610926165	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) x))
accuracy	0.0	(log.f64 x)
accuracy	0.26953125	(/.f64 (neg.f64 (log.f64 x)) n)
accuracy	25.728097854615438	#s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n))
accuracy	29.804651341943075	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n)))
accuracy	0.7459155211304695	(*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)
accuracy	20.429326734993232	(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	22.800146646630857	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
accuracy	24.347189006835727	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

257.0ms	161×	1	valid
223.0ms	86×	2	valid
4.0ms	9×	0	valid

Compiler

Compiled 659 to 71 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

adjust: 131.0ms (31.4% of total)

ival-pow: 69.0ms (16.5% of total)

ival-pow2: 57.0ms (13.7% of total)

ival-div: 47.0ms (11.3% of total)

ival-add: 32.0ms (7.7% of total)

ival-mult: 30.0ms (7.2% of total)

ival-sub: 14.0ms (3.4% of total)

ival-log: 10.0ms (2.4% of total)

const: 10.0ms (2.4% of total)

ival-log1p: 10.0ms (2.4% of total)

ival-neg: 5.0ms (1.2% of total)

ival-expm1: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series109.0ms (0.4%)

Memory

15.9MiB live, 62.9MiB allocated; 3ms collecting garbage

Counts

29 → 260

Calls

Call 1

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

Outputs
(/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (+ (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (+ (/ 1 (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 4))))))) (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 4)))) (+ (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))) (+ (/ 1 (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (+ (/ (* (- 1/3 (* 1/2 (/ 1 n))) (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2))) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (* (- (* 1/2 (/ 1 n)) 1/2) (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))))) (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))))))) (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
(- 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)))
(- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2))
(- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/4 (/ (pow (log x) 4) (pow n 2)))) (pow (log x) 2))
(- (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n))))))) (pow (log x) 2))
(- (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)) (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) n)) (/ 1 n)) 1)))))))) (pow (log x) 2))
(* 1/4 (/ (pow (log x) 4) (pow n 2)))
(+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/4 (/ (pow (log x) 4) (pow n 2))))
(+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)))))))
(+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)) (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) n)) (/ 1 n)) 1))))))))
(* -1 (/ (log x) n))
(* -1 (log x))
(+ 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))
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(/ (+ n (log x)) n)
(/ (+ (* 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))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(* 1/6 (/ x (pow n 3)))
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1 (* n (+ 1/2 (* -1/3 x)))) (* -1/2 x))))) (pow n 3))
(* 1/6 (/ x n))
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(/ (+ (* -1/2 (* n x)) (* 1/6 x)) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* n (- x (log x)))) (pow n 2))
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(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x)))))
(exp (/ (log (+ 1 x)) n))
(* 1/6 (/ (pow x 2) (pow n 3)))
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
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(/ (- (log (+ 1 x)) (log x)) n)
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(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
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(pow (log (+ 1 x)) 2)
(+ (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (pow (log (+ 1 x)) 2))
(+ (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow n 2))) (+ (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (pow (log (+ 1 x)) 2)))
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
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(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (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))
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(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
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Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	n	@	inf	((/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (/ (neg (log x)) n) (neg (log x)) (+ (* (/ (log x) n) 1) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (/ (+ (+ (* -1/3 x) (/ (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (neg n))) 1/2) (neg n)) (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (+ (* 1/6 (/ x n)) (* -1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) (log x) (/ (log x) n) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (pow (log x) 2) (/ (pow (log x) 2) n))
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17.0ms	x	@	inf	((/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- 1 (exp (/ (log x) n))) (/ (neg (log x)) n) (neg (log x)) (+ (* (/ (log x) n) 1) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (/ (+ (+ (* -1/3 x) (/ (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (neg n))) 1/2) (neg n)) (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (+ (* 1/6 (/ x n)) (* -1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) (log x) (/ (log x) n) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (pow (log x) 2) (/ (pow (log x) 2) n))
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simplify213.0ms (0.7%)

Memory

18.3MiB live, 67.9MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1405	12211
1	4928	11815
0	8070	10930

Stop Event

1×	iter limit
1×	node limit

Counts

260 → 260

Calls

Call 1

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

rewrite189.0ms (0.6%)

Memory

14.3MiB live, 59.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	739
0	130	735
1	574	674
2	4954	674
0	8113	660

Stop Event

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

Counts

29 → 385

Calls

Call 1

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

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

eval237.0ms (0.8%)

Memory: -38.4MiB live, 102.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 70 092 to 5 684 computations (91.9% saved)

prune79.0ms (0.3%)

Memory

9.7MiB live, 57.5MiB allocated; 1ms collecting garbage

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	933	14	947
Fresh	6	17	23
Picked	4	1	5
Done	0	2	2
Total	943	34	977

Accuracy

100.0%

Counts

977 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(approx (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (+ (* -1/3 x) (/ (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (neg n))) 1/2) (neg n)) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/3 binary64)) x) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	26.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (neg.f64 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	37.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64))) n)))
	41.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
▶	28.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	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 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
▶	34.7%	#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 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	36.9%	#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 (+ (* (/ (log x) n) 1) 1) (/.f64 (+.f64 (log.f64 x) n) n)) x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))
	36.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) n) x)))
▶	59.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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)))))
	33.3%	#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 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) n) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) (.f64 (.f64 x x) n)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	26.4%	#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 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) n) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) x) n) (log.f64 x))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) x) n) n))))
	32.3%	#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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n)) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)) (/.f64 (log.f64 x) n))))
	38.0%	#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 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x)))))
	25.3%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 (fma.f64 (-.f64 x (log.f64 x)) n (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n n)))))
	33.7%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 (-.f64 x (log.f64 x)) n))))
▶	4.5%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))
	39.8%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 n x))) x))))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log.f64 x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n))) n)) x))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))) x)))
	47.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (neg.f64 (log.f64 x))) (neg.f64 n))))
✓	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n)))

Compiler

Compiled 3 973 to 2 156 computations (45.7% saved)

simplify155.0ms (0.5%)

Memory

-6.2MiB live, 39.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
cost-diff	1	(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
cost-diff	1	(fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))))
cost-diff	2	(fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x)))
cost-diff	0	(+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x))
cost-diff	0	(/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	2	(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 x n)
cost-diff	0	#s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))
cost-diff	0	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n)))
cost-diff	0	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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)))))
cost-diff	8	(/.f64 (/.f64 (-.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1107
0	154	1100
1	269	1071
2	648	1056
3	2356	971
0	8237	945

Stop Event

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

Calls

Call 1

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

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

localize532.0ms (1.8%)

Memory

-3.9MiB live, 426.2MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.7518801799119292	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))
accuracy	8.546827524094736	(fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
accuracy	22.800146646630857	#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 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
accuracy	35.4992427939207	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy	0.1796875	(/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))
accuracy	17.051111275252442	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
accuracy	19.01848694190902	(+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x))
accuracy	42.67098450204426	#s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x)))
accuracy	2.856571343044082	(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	4.344807469264322	(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
accuracy	27.46630068370273	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	30.185506304999457	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x n)
accuracy	22.800146646630857	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))
accuracy	25.76990321304659	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n)))
accuracy	39.03554092658554	#s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))
accuracy	0.48525231100639854	(/.f64 (/.f64 (-.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)))
accuracy	22.800146646630857	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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)))))
accuracy	24.347189006835727	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	26.36549595759361	#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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))))

Samples

260.0ms	161×	1	valid
192.0ms	86×	2	valid
5.0ms	9×	0	valid

Compiler

Compiled 792 to 84 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

adjust: 102.0ms (25.6% of total)

ival-pow: 75.0ms (18.8% of total)

ival-div: 58.0ms (14.6% of total)

ival-mult: 39.0ms (9.8% of total)

ival-add: 34.0ms (8.5% of total)

ival-sub: 19.0ms (4.8% of total)

const: 17.0ms (4.3% of total)

ival-pow2: 14.0ms (3.5% of total)

ival-log1p: 14.0ms (3.5% of total)

ival-log: 12.0ms (3% of total)

ival-neg: 12.0ms (3% of total)

exact: 1.0ms (0.3% of total)

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

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

series147.0ms (0.5%)

Memory

45.0MiB live, 225.3MiB allocated; 17ms collecting garbage

Counts

24 → 251

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	n	@	-inf	((/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/ x n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* (log x) -1) 1) (* -2/3 (/ (neg (log x)) n)) (- (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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))
31.0ms	n	@	0	((/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/ x n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* (log x) -1) 1) (* -2/3 (/ (neg (log x)) n)) (- (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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))
25.0ms	n	@	inf	((/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/ x n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* (log x) -1) 1) (* -2/3 (/ (neg (log x)) n)) (- (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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))
23.0ms	x	@	-inf	((/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/ x n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* (log x) -1) 1) (* -2/3 (/ (neg (log x)) n)) (- (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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))
14.0ms	x	@	inf	((/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/ x n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* (log x) -1) 1) (* -2/3 (/ (neg (log x)) n)) (- (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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))

simplify227.0ms (0.8%)

Memory

15.1MiB live, 106.4MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1619	15015
1	5740	14298
0	9171	13309

Stop Event

1×	iter limit
1×	node limit

Counts

251 → 251

Calls

Call 1

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

rewrite165.0ms (0.5%)

Memory

-36.7MiB live, 55.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	791
0	154	740
1	669	705
2	5593	705
0	8055	678

Stop Event

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

Counts

24 → 257

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.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 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.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)))) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 n)) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.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)) n))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (/.f64 (-.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)))
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 n)) (+.f64 (log1p.f64 x) (log.f64 x))))
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log1p.f64 x) (log.f64 x))))
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (/.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))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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)))))
#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.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))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (fma.f64 (log1p.f64 x) (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 n)) (.f64 n (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (.f64 n (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) n))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 n)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))
#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n)))
#s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))
(/.f64 (neg.f64 (neg.f64 x)) n)
(/.f64 (neg.f64 x) (neg.f64 n))
(/.f64 x n)
(neg.f64 (/.f64 (neg.f64 x) n))
(neg.f64 (/.f64 x (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 n #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64))) (-.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x)) n)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) (neg.f64 n) (.f64 n #s(literal -1 binary64))) (*.f64 n (neg.f64 n)))
(/.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n (.f64 n #s(literal 1 binary64))) (*.f64 n n))
(/.f64 (fma.f64 #s(literal -1 binary64) n (.f64 (neg.f64 n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x))) (*.f64 (neg.f64 n) n))
(/.f64 (fma.f64 #s(literal 1 binary64) n (.f64 n (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) n))
(/.f64 (+.f64 (pow.f64 n #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 3 binary64))) (+.f64 (pow.f64 n #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 n #s(literal -3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x (pow.f64 n #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 x n) (pow.f64 n #s(literal -1 binary64)))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (pow.f64 n #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) n)) (/.f64 (pow.f64 n #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) n)))
(-.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x))
(-.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (pow.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal -3 binary64)) (fma.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) (pow.f64 n #s(literal -1 binary64)))
(+.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64)))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
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(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
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(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
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(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 #s(literal 1 binary64) (log.f64 x)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 #s(literal 1 binary64) (log.f64 x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)) (neg.f64 n))
(/.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)))) (neg.f64 n))
(/.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) n)
(neg.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 x) n)))
(neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal -2/3 binary64)))
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (neg.f64 (log1p.f64 x))) (fabs.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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(fma.f64 (exp.f64 (log.f64 (log1p.f64 x))) (exp.f64 (log.f64 (log1p.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log1p.f64 x) (log.f64 x))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)) x) (+.f64 (/.f64 (log.f64 x) n) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))) 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 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)) x) (+.f64 (/.f64 (log.f64 x) n) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)) n))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (-.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)))) (.f64 x x))
(/.f64 (fma.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x) x)
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/27 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/6 binary64))) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (.f64 x x)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (neg.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) x) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))

eval116.0ms (0.4%)

Memory: 10.2MiB live, 60.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 49 683 to 4 083 computations (91.8% saved)

prune55.0ms (0.2%)

Memory

1.1MiB live, 50.8MiB allocated; 1ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	487	19	506
Fresh	11	15	26
Picked	3	2	5
Done	0	3	3
Total	501	39	540

Accuracy

100.0%

Counts

540 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(approx (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) (neg.f64 n))) #s(literal 1/2 binary64)) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(approx (/ (+ (+ (* -1/3 x) (/ (+ (+ (* 1/6 (/ x n)) (* -1/2 x)) 1/2) (neg n))) 1/2) (neg n)) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/3 binary64)) x) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 x n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	(-.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)))
	14.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	13.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	37.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
✓	28.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	43.2%	#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 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	33.3%	#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 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* (log x) -1) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	36.9%	#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 (+ (* (/ (log x) n) 1) 1) (/.f64 (+.f64 (log.f64 x) n) n)) x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))
	36.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) n)) (+.f64 (log1p.f64 x) (log.f64 x)))))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (+.f64 (log1p.f64 x) (log.f64 x)))))
	34.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
	58.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)))))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (fma.f64 (fma.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 (neg.f64 (log.f64 x)) n)))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n))))
	38.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (log (+ 1 x)) (log x))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))
	33.3%	#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 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) n) (fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) n) (.f64 (.f64 x x) n)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
	26.4%	#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 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) n) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) x) n) (log.f64 x))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) x) n) n))))
	38.0%	#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 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x)))))
	25.3%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 (fma.f64 (-.f64 x (log.f64 x)) n (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n n)))))
	33.7%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 (-.f64 x (log.f64 x)) n))))
✓	4.5%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))
	39.8%	#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n x))) x))))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log.f64 x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x))))) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n))) n)) x))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))) x)))
	47.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (neg.f64 (log.f64 x))) (neg.f64 n))))
✓	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- 1 (exp (/ (log x) n))) (/.f64 (neg.f64 (log.f64 x)) n)))

Compiler

Compiled 6 879 to 1 915 computations (72.2% saved)

regimes67.0ms (0.2%)

Memory

-13.1MiB live, 33.0MiB allocated; 2ms collecting garbage

Counts

70 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	(/.f64 #s(literal 1 binary64) n)
17.0ms	n
16.0ms	x
12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
87.1%	3	`(/.f64 #s(literal 1 binary64) n)`
85.1%	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)))`
86.4%	2	`x`
85.9%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes18.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

53 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
86.9%	3	`(/.f64 #s(literal 1 binary64) n)`
81.1%	3	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes28.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

39 → 3

Calls

Call 1

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

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

Calls

3 calls:

9.0ms	n
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
82.6%	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)))`
84.7%	4	`n`
84.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes27.0ms (0.1%)

Memory

-32.9MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.6%	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)))`
74.6%	5	`n`
75.0%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes33.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	n
8.0ms	(/.f64 #s(literal 1 binary64) 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
64.0%	6	`n`
64.5%	6	`(/.f64 #s(literal 1 binary64) n)`
62.1%	3	`x`
57.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes8.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
62.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
62.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
61.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes36.0ms (0.1%)

Memory

-48.4MiB live, 3.9MiB allocated; 35ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
61.4%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
61.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
61.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
60.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
38.6%	1	`n`
38.6%	1	`(/.f64 #s(literal 1 binary64) n)`
38.6%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

1.0ms	(/.f64 #s(literal 1 binary64) n)
1.0ms	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
4.5%	1	`n`
4.5%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
4.5%	1	`(/.f64 #s(literal 1 binary64) n)`
4.5%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch38.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.00020393579256650058	7819.680404387049

Samples

14.0ms	77×	1	valid
8.0ms	25×	2	valid
3.0ms	42×	0	valid
2.0ms	31×	0	exit

Compiler

Compiled 673 to 427 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 13.0ms (58.8% of total)

adjust: 4.0ms (18.1% of total)

ival-div: 2.0ms (9.1% of total)

ival-add: 1.0ms (4.5% of total)

ival-sub: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.00020393579256650058	7819.680404387049

Samples

8.0ms	44×	1	valid
6.0ms	19×	2	valid
5.0ms	65×	0	valid

Compiler

Compiled 637 to 418 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 10.0ms (64.3% of total)

adjust: 2.0ms (12.9% of total)

ival-div: 2.0ms (12.9% of total)

ival-add: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.736181461801778e-18	5.034244928089232e-11
0.0ms	-5.657694613409384e-122	-1.078975874695621e-127

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.346282770670258e-10	4.787697449532711e-9
0.0ms	-5.657694613409384e-122	-1.078975874695621e-127

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.220446049250313e-16	1.1387039782206898e-6
0.0ms	-inf	-2.0539125955565396e-13

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch51.0ms (0.2%)

Memory

-41.8MiB live, 8.0MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00020393579256650058	7819.680404387049
30.0ms	2.730851796967728e-279	6.359351806301599e-279

Samples

21.0ms	66×	1	valid
15.0ms	24×	2	valid
4.0ms	54×	0	valid

Compiler

Compiled 2 533 to 1 210 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 28.0ms (77% of total)

adjust: 4.0ms (11% of total)

ival-div: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.00020393579256650058	7819.680404387049
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Samples

2.0ms	6×	2	valid
1.0ms	4×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 2 551 to 1 219 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-pow: 2.0ms (78.2% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.00020393579256650058	7819.680404387049
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Compiler

Compiled 2 411 to 1 135 computations (52.9% saved)

bsearch25.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.1468158663617522e-15	1.3627430170190109e-14
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Samples

10.0ms	49×	1	valid
6.0ms	15×	2	valid
3.0ms	32×	0	valid

Compiler

Compiled 790 to 498 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 10.0ms (62.7% of total)

adjust: 3.0ms (18.8% of total)

ival-div: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

ival-sub: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch15.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1468158663617522e-15	1.3627430170190109e-14
13.0ms	2.730851796967728e-279	6.359351806301599e-279

Samples

7.0ms	18×	1	valid
4.0ms	5×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 750 to 473 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 8.0ms (75.9% of total)

adjust: 1.0ms (9.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1468158663617522e-15	1.3627430170190109e-14
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Compiler

Compiled 888 to 491 computations (44.7% saved)

bsearch14.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00014796216879995483	0.00020393579256650058
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Samples

5.0ms	14×	2	valid
4.0ms	21×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 1 204 to 489 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow: 5.0ms (63.6% of total)

adjust: 1.0ms (12.7% of total)

ival-div: 1.0ms (12.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00014796216879995483	0.00020393579256650058
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Compiler

Compiled 1 184 to 479 computations (59.5% saved)

bsearch2.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00014796216879995483	0.00020393579256650058
1.0ms	2.730851796967728e-279	6.359351806301599e-279

Compiler

Compiled 904 to 463 computations (48.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00014796216879995483	0.00020393579256650058

Compiler

Compiled 499 to 223 computations (55.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00014796216879995483	0.00020393579256650058

Compiler

Compiled 382 to 169 computations (55.8% saved)

simplify55.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	2623
1	396	2608
2	796	2600
3	2293	2133

Stop Event

1×	node limit

Calls

Call 1

Inputs
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Outputs
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#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) #s(approx (- (+ (* (/ -1/2 n) (/ (pow (log x) 2) n)) (/ x n)) (/ (log x) n)) (/.f64 x n))))

derivations1.3s (4.3%)

Memory

-27.3MiB live, 19.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	59	31
2	373	31
3	3875	31
0	8189	27
0	263	1453
1	845	1330
2	3085	1283
0	8423	1173
0	1405	12211
1	4928	11815
0	8070	10930
0	100	791
0	154	740
1	669	705
2	5593	705
0	8055	678
0	58	501
0	104	501
1	453	501
2	3551	501
0	8379	501
0	1619	15015
1	5740	14298
0	9171	13309
0	1275	9630
1	4455	9137
0	8148	8585

Stop Event

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

Compiler

Compiled 2 627 to 261 computations (90.1% saved)

preprocess114.0ms (0.4%)

Memory: 14.3MiB live, 59.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 280 to 538 computations (89.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze226.0ms (0.7%)

sample22.9s (75.8%)

explain357.0ms (1.2%)

preprocess13.0ms (0%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize111.0ms (0.4%)

series83.0ms (0.3%)

simplify168.0ms (0.6%)

rewrite187.0ms (0.6%)

eval45.0ms (0.1%)

prune16.0ms (0.1%)

simplify122.0ms (0.4%)

localize414.0ms (1.4%)

series154.0ms (0.5%)

simplify166.0ms (0.5%)

rewrite191.0ms (0.6%)

eval115.0ms (0.4%)

prune45.0ms (0.1%)

simplify177.0ms (0.6%)

localize573.0ms (1.9%)

series109.0ms (0.4%)

simplify213.0ms (0.7%)

rewrite189.0ms (0.6%)

eval237.0ms (0.8%)

prune79.0ms (0.3%)

simplify155.0ms (0.5%)

localize532.0ms (1.8%)

series147.0ms (0.5%)

simplify227.0ms (0.8%)

rewrite165.0ms (0.5%)

eval116.0ms (0.4%)

prune55.0ms (0.2%)

regimes67.0ms (0.2%)

regimes18.0ms (0.1%)

regimes28.0ms (0.1%)

regimes28.0ms (0.1%)

regimes27.0ms (0.1%)

regimes33.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes36.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch38.0ms (0.1%)

bsearch27.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch51.0ms (0.2%)

bsearch7.0ms (0%)

bsearch3.0ms (0%)

bsearch25.0ms (0.1%)

bsearch15.0ms (0%)

bsearch2.0ms (0%)

bsearch14.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify55.0ms (0.2%)

derivations1.3s (4.3%)

preprocess114.0ms (0.4%)

end0.0ms (0%)

Profiling