Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze243.0ms (1.1%)

Memory

-28.4MiB live, 283.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample15.0s (65.2%)

Memory

-153.5MiB live, 13 467.9MiB allocated

Samples

9.9s	4 947×	5	exit
1.5s	2 749×	2	valid
1.1s	2 909×	1	valid
476.0ms	2 294×	1	exit
332.0ms	2 598×	0	valid
187.0ms	1 566×	0	exit
14.0ms	7×	4	exit
6.0ms	7×	2	exit
4.0ms	2×	3	exit

Precisions

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

ival-pow: 9.9s (80% of total)

adjust: 1.2s (9.8% of total)

ival-div: 658.0ms (5.3% of total)

ival-sub: 298.0ms (2.4% of total)

ival-add: 280.0ms (2.3% of total)

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

exact: 13.0ms (0.1% of total)

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

Bogosity

explain489.0ms (2.1%)

Memory

-138.4MiB live, 261.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
111	2	(1.7985542599148814e+151 -2.3886644698952813e+171)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
44	28	(1.1835411453670667e-160 -2.1366568939406762e-79)	-	`(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	113	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	72	0

Confusion

	Predicted +	Predicted -
+	133	0
-	52	71

Precision

0.7189189189189189

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	52	0	71

Precision?

0.7189189189189189

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

73.0ms	248×	1	valid
69.0ms	158×	2	valid
18.0ms	106×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-pow: 90.0ms (71.2% of total)

adjust: 15.0ms (11.9% of total)

ival-div: 11.0ms (8.7% of total)

ival-add: 5.0ms (4% of total)

ival-sub: 5.0ms (4% of total)

ival-true: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

preprocess32.0ms (0.1%)

Memory

-5.2MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	112	13
8	161	13
9	177	13
10	185	13
0	185	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	112	34
8	161	34
9	177	34
10	185	34
0	185	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))

localize88.0ms (0.4%)

Memory

-29.7MiB live, 90.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	10.323671772850583	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	25.714113719323674	(-.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

43.0ms	79×	2	valid
33.0ms	124×	1	valid
5.0ms	53×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 46.0ms (70.4% of total)

adjust: 7.0ms (10.7% of total)

ival-add: 4.0ms (6.1% of total)

ival-div: 4.0ms (6.1% of total)

ival-sub: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.3%)

Memory

31.7MiB live, 68.5MiB allocated

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
28.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
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)))
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)))
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)))

simplify209.0ms (0.9%)

Memory

-7.0MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1455
1	761	1349
2	2161	1275
3	7630	1269
0	8915	1165

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) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (/.f64 x n) (expm1.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)))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 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)))
(fma.f64 (.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 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))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(exp (/ (log x) n))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 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)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(fma.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 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 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (.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 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) x))) x)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(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 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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) (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 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
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(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (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) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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(/ (- (+ (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)
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(fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (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) (fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (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 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (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) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (-.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 #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))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #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))) (neg.f64 n))) n)) (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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) (log1p.f64 x)) n))
(+ 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)))
(-.f64 #s(literal 1 binary64) (/.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)))) n) (log.f64 x)) n))

rewrite159.0ms (0.7%)

Memory

28.6MiB live, 184.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8424	27

Stop Event

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

Counts

5 → 321

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #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 (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)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 -1 binary64)))
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) 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)) (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 (+.f64 #s(literal 1 binary64) 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 (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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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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(pow.f64 (pow.f64 (.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x x) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(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 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))

eval87.0ms (0.4%)

Memory: -32.3MiB live, 142.5MiB allocated
Compiler: Compiled 11 308 to 1 474 computations (87% saved)

prune15.0ms (0.1%)

Memory

-8.2MiB live, 30.9MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	413	9	422
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	10	423

Accuracy

99.9%

Counts

423 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	15.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
	24.5%	(-.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)))
	31.6%	(-.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)))
▶	36.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	58.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 569 to 332 computations (41.7% saved)

simplify184.0ms (0.8%)

Memory

6.6MiB live, 123.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
cost-diff	3	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	0	(expm1.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 x n)
cost-diff	0	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	423
0	75	423
1	113	423
2	196	423
3	517	423
4	1494	423
5	5268	418
0	8579	408

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
x
n
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 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))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

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

localize341.0ms (1.5%)

Memory

-2.8MiB live, 347.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.0	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
accuracy	13.722964504684574	(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	25.714113719323674	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
accuracy	30.33110929710401	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
accuracy	0.0078125	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
accuracy	0.0078125	(expm1.f64 (/.f64 (log.f64 x) n))
accuracy	0.26953125	(/.f64 (log.f64 x) n)
accuracy	30.42445640284222	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
accuracy	0.00390625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.01171875	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy	0.125	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy	27.51361656797783	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.00390625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	21.25836832334505	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	25.714113719323674	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.0	(log.f64 x)
accuracy	0.19921875	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	23.846204334649663	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	28.193945393371052	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Samples

167.0ms	97×	2	valid
132.0ms	143×	1	valid
5.0ms	16×	0	valid

Compiler

Compiled 339 to 39 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-pow: 97.0ms (37.4% of total)

ival-div: 58.0ms (22.3% of total)

adjust: 30.0ms (11.6% of total)

ival-add: 17.0ms (6.5% of total)

const: 14.0ms (5.4% of total)

ival-sub: 11.0ms (4.2% of total)

ival-mult: 11.0ms (4.2% of total)

ival-log: 10.0ms (3.9% of total)

ival-log1p: 7.0ms (2.7% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series186.0ms (0.8%)

Memory

44.6MiB live, 196.9MiB allocated

Counts

22 → 159

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(expm1.f64 (/.f64 (log.f64 x) n))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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))
(log.f64 x)
(/.f64 (log.f64 x) n)
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n 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 (/ (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 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
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))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(/ x n)
(- (exp (/ (log x) n)) 1)
(- (* 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)))
(log x)
(/ (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)
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1)
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* -1 (/ (log (/ 1 x)) n))
(/ (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))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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) (* -1 (log (/ -1 x)))) n)) x)
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) 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 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(* 1/6 (/ (pow x 3) (pow n 3)))
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ 1/6 (pow n 3))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ (- (+ (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 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))
(/ (- x (log x)) n)
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) 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)
(/ (- (* 1/3 x) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))
(/ 1/3 n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(+ 1 (* -1 (/ (+ (* -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 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(* -1 (/ (- (* -1 x) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* -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 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (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 (/ (* 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 (/ (- (* 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
71.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (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))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
36.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (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))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
29.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (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))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
21.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (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))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
16.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (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))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))

simplify183.0ms (0.8%)

Memory

-10.3MiB live, 222.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	3464
1	2000	3253
2	5889	3184
0	8094	2980

Stop Event

1×	iter limit
1×	node limit

Counts

159 → 158

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 (/ (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 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
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))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(/ x n)
(- (exp (/ (log x) n)) 1)
(- (* 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)))
(log x)
(/ (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)
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1)
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* -1 (/ (log (/ 1 x)) n))
(/ (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))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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) (* -1 (log (/ -1 x)))) n)) x)
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) 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 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(* 1/6 (/ (pow x 3) (pow n 3)))
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ 1/6 (pow n 3))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ (- (+ (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 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))
(/ (- x (log x)) n)
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) 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)
(/ (- (* 1/3 x) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))
(/ 1/3 n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(+ 1 (* -1 (/ (+ (* -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 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(* -1 (/ (- (* -1 x) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* -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 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (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 (/ (* 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 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) 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)))
(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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 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)))
(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 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(* -1 (/ (log x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+ (* -1 (/ (log x) n)) (/ x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(fma.f64 (*.f64 x (/.f64 x n)) #s(literal -1/2 binary64) (/.f64 (-.f64 x (log.f64 x)) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) n) (/.f64 (-.f64 x (log.f64 x)) n))
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x)))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 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))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (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 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (exp (/ (log x) n)) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)
(/ x n)
(/.f64 x n)
(- (exp (/ (log x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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)))
(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 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(log x)
(log.f64 x)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 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)
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 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) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.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)) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (exp.f64 (/.f64 (log.f64 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) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64))) (/.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)) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) x) (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.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)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) x)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) x)
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) x) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 (pow.f64 x #s(literal 3 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)))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) x) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
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(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 x) (/ (log x) (* n x))) n)
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)))) n)
(+ (/ 1 x) (/ (log x) (* n x)))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))))
(/ (- x (log x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (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)
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) x) (log.f64 x)) n)
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) x) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))) n)
(/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n)
(/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)
(/ (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))) n)
(/ (- (* 1/3 x) 1/2) n)
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1/2 binary64)) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 x n) n) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1/2 binary64)) n)
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n) (/.f64 x n) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n) (/.f64 x n) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/3 binary64)) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (log1p.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 (log.f64 x) (+.f64 (/.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (neg.f64 n))) n) (log1p.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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 (/.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))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 (/.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))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n)) n) (/.f64 #s(literal 1 binary64) x)) n)
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (neg.f64 (log.f64 x)) x)) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) n) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (- (* -1 x) (* -1 (log x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 x) (* 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) x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (* -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 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64))) n) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (-.f64 x (log.f64 x))) (neg.f64 n))
(* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) #s(literal -1 binary64) (log.f64 x)) n)
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))
(/.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)
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (pow (log x) 2))) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.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))) n) (log.f64 x)) 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 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) (neg.f64 n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) n))
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 n)))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) x (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) #s(literal 1/6 binary64))) (neg.f64 n))) n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 n))

rewrite254.0ms (1.1%)

Memory

-33.2MiB live, 307.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	317
0	75	317
1	361	295
2	3526	285
0	9689	280

Stop Event

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

Counts

22 → 622

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(expm1.f64 (/.f64 (log.f64 x) n))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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))
(log.f64 x)
(/.f64 (log.f64 x) n)
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))

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

eval123.0ms (0.5%)

Memory: 41.3MiB live, 224.6MiB allocated
Compiler: Compiled 38 920 to 3 860 computations (90.1% saved)

prune46.0ms (0.2%)

Memory

-26.2MiB live, 94.4MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	884	22	906
Fresh	1	3	4
Picked	2	3	5
Done	1	0	1
Total	888	28	916

Accuracy

100.0%

Counts

916 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(-.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)))
▶	31.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.6%	(-.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)))
✓	36.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	56.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
✓	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
	43.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n (log.f64 x)) #s(literal -2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
▶	50.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
▶	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
	58.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	25.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
▶	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
▶	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	32.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	28.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
	58.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (expm1.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
	58.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	25.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))

Compiler

Compiled 1 675 to 1 021 computations (39% saved)

simplify188.0ms (0.8%)

Memory

20.3MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
cost-diff	0	(-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
cost-diff	9	(/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 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 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (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) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
cost-diff	1	(/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))
cost-diff	0	(-.f64 x (log.f64 x))
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
cost-diff	0	(-.f64 (pow.f64 (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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
cost-diff	2	(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64)))
cost-diff	10	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	661
0	106	667
1	173	667
2	328	657
3	821	652
4	2288	612
5	7276	607
0	8335	576

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

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

localize531.0ms (2.3%)

Memory

11.5MiB live, 619.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(/.f64 n (log.f64 x))
accuracy	18.489957445213335	(-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n)
accuracy	28.193945393371052	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
accuracy	29.45962581524978	(/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
accuracy	2.379300071569924	(fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	3.604543067219524	(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n))
accuracy	25.714113719323674	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (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	30.33110929710401	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0.015625	(-.f64 x (log.f64 x))
accuracy	0.19921875	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)
accuracy	24.973682659785332	#s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))
accuracy	28.193945393371052	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.19921875	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
accuracy	28.193945393371052	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
accuracy	36.574970596599414	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.500767815694188	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))
accuracy	0.5778312988422102	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	23.89162663860243	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	28.193945393371052	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))

Samples

244.0ms	143×	1	valid
203.0ms	97×	2	valid
8.0ms	16×	0	valid

Compiler

Compiled 457 to 62 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

adjust: 66.0ms (17.4% of total)

ival-pow: 63.0ms (16.6% of total)

ival-pow2: 56.0ms (14.7% of total)

const: 52.0ms (13.7% of total)

ival-div: 38.0ms (10% of total)

ival-log1p: 30.0ms (7.9% of total)

ival-mult: 25.0ms (6.6% of total)

ival-add: 20.0ms (5.3% of total)

ival-sub: 18.0ms (4.7% of total)

ival-log: 9.0ms (2.4% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series157.0ms (0.7%)

Memory

10.1MiB live, 210.2MiB allocated

Counts

24 → 188

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	n	@	0	((/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- x (log x)) (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ (- (* (log (+ 1 x)) (/ n (log x))) n) (* n (/ n (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (* (log (+ 1 x)) (/ n (log x))) n) (* (log (+ 1 x)) (/ n (log x))) (pow (log x) 2) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (/ n (log x)))
29.0ms	n	@	inf	((/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- x (log x)) (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ (- (* (log (+ 1 x)) (/ n (log x))) n) (* n (/ n (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (* (log (+ 1 x)) (/ n (log x))) n) (* (log (+ 1 x)) (/ n (log x))) (pow (log x) 2) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (/ n (log x)))
28.0ms	x	@	-inf	((/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- x (log x)) (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ (- (* (log (+ 1 x)) (/ n (log x))) n) (* n (/ n (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (* (log (+ 1 x)) (/ n (log x))) n) (* (log (+ 1 x)) (/ n (log x))) (pow (log x) 2) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (/ n (log x)))
27.0ms	n	@	-inf	((/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- x (log x)) (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ (- (* (log (+ 1 x)) (/ n (log x))) n) (* n (/ n (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (* (log (+ 1 x)) (/ n (log x))) n) (* (log (+ 1 x)) (/ n (log x))) (pow (log x) 2) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (/ n (log x)))
22.0ms	x	@	0	((/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- x (log x)) (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ (- (* (log (+ 1 x)) (/ n (log x))) n) (* n (/ n (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (* (log (+ 1 x)) (/ n (log x))) n) (* (log (+ 1 x)) (/ n (log x))) (pow (log x) 2) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (/ n (log x)))

simplify187.0ms (0.8%)

Memory

3.1MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	930	5568
1	2907	5272
0	8148	4966

Stop Event

1×	iter limit
1×	node limit

Counts

188 → 186

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

rewrite279.0ms (1.2%)

Memory

9.1MiB live, 236.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	511
0	106	511
1	507	469
2	4745	469
0	8209	457

Stop Event

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

Counts

24 → 399

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

eval130.0ms (0.6%)

Memory: -12.0MiB live, 198.5MiB allocated
Compiler: Compiled 35 997 to 3 358 computations (90.7% saved)

prune64.0ms (0.3%)

Memory

-14.1MiB live, 98.2MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	583	19	602
Fresh	7	13	20
Picked	3	2	5
Done	0	3	3
Total	593	37	630

Accuracy

100.0%

Counts

630 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) #s(approx (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.6%	(-.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)))
✓	36.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	56.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
✓	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) (+.f64 (log.f64 x) (log1p.f64 x))))
▶	58.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) (/ n (log x))) n) (neg.f64 n)) (*.f64 n (/.f64 n (log.f64 x)))))
▶	45.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	25.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
✓	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
✓	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	31.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) x) (.f64 x x)) #s(literal -1 binary64)))) n))
	32.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
▶	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x))) n))
	32.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 n))) (+.f64 (log.f64 x) (log1p.f64 x))))
	28.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))))))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))))))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (expm1.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))))
✓	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
▶	16.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
	12.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) n)))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))) (/.f64 #s(literal -1 binary64) n)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	33.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 n x) x)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
▶	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))

Compiler

Compiled 2 520 to 1 537 computations (39% saved)

simplify108.0ms (0.5%)

Memory

3.8MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	400
0	72	400
1	106	392
2	163	368
3	349	364
4	1231	340
5	3447	340
6	6615	340
0	8111	316

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

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

localize209.0ms (0.9%)

Memory

-14.6MiB live, 246.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
accuracy	0.1484375	(*.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
accuracy	8.893613775432087	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
accuracy	15.593062668517696	#s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.078125	(/.f64 (neg.f64 (log.f64 x)) x)
accuracy	0.08203125	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x))) n)
accuracy	6.892090699439753	#s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x)))
accuracy	8.893613775432087	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x))) n))
accuracy	0.08203125	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)
accuracy	8.893613775432087	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
accuracy	9.151914234785359	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
accuracy	15.593062668517696	#s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.0625	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy	8.893613775432087	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy	15.476437015698401	#s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.08203125	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
accuracy	6.635376754227312	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
accuracy	8.893613775432087	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))

Samples

62.0ms	162×	0	invalid
56.0ms	57×	1	valid
49.0ms	28×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-pow: 41.0ms (29.8% of total)

ival-div: 32.0ms (23.3% of total)

adjust: 10.0ms (7.3% of total)

ival-log: 10.0ms (7.3% of total)

ival-mult: 10.0ms (7.3% of total)

ival-neg: 10.0ms (7.3% of total)

ival-pow2: 7.0ms (5.1% of total)

ival-sub: 7.0ms (5.1% of total)

ival-add: 7.0ms (5.1% of total)

ival-log1p: 4.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series228.0ms (1%)

Memory

11.9MiB live, 326.8MiB allocated

Counts

21 → 80

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (pow (* x x) -1/2) (+ (* (/ (neg (log x)) x) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (* (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (pow n -1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (- (log (+ 1 x)) (log x)) (/ (neg (log x)) x))
44.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (pow (* x x) -1/2) (+ (* (/ (neg (log x)) x) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (* (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (pow n -1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (- (log (+ 1 x)) (log x)) (/ (neg (log x)) x))
43.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (pow (* x x) -1/2) (+ (* (/ (neg (log x)) x) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (* (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (pow n -1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (- (log (+ 1 x)) (log x)) (/ (neg (log x)) x))
33.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (pow (* x x) -1/2) (+ (* (/ (neg (log x)) x) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (* (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (pow n -1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (- (log (+ 1 x)) (log x)) (/ (neg (log x)) x))
30.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (pow (* x x) -1/2) (+ (* (/ (neg (log x)) x) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (* (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (pow n -1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (- (log (+ 1 x)) (log x)) (pow n -1/2)) (- (log (+ 1 x)) (log x)) (/ (neg (log x)) x))

simplify291.0ms (1.3%)

Memory

-5.9MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	2878
1	1602	2709
2	4949	2637
0	8207	2475

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

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

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

rewrite215.0ms (0.9%)

Memory

9.4MiB live, 89.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	355
0	72	323
1	281	295
2	1808	291
0	8690	262

Stop Event

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

Counts

21 → 565

Calls

Call 1

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

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

eval144.0ms (0.6%)

Memory: 5.5MiB live, 80.1MiB allocated
Compiler: Compiled 24 782 to 2 909 computations (88.3% saved)

prune72.0ms (0.3%)

Memory

2.7MiB live, 40.4MiB allocated

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	598	11	609
Fresh	10	17	27
Picked	3	2	5
Done	0	5	5
Total	611	35	646

Accuracy

100.0%

Counts

646 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.6%	(-.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)))
✓	36.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	56.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
✓	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	56.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
	29.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) (/ n (log x))) n) (neg.f64 n)) (*.f64 n (/.f64 n (log.f64 x)))))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	25.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
✓	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
✓	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	32.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	25.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (log.f64 x) x)) (*.f64 x x)) x x))) n))
✓	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x))) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (log.f64 x))) x x))) n))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (log.f64 x) x) #s(literal 1 binary64)) x))) n))
	58.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))))))
	57.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))))))
✓	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))) (/.f64 #s(literal -1 binary64) n)))
	12.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx ( (- (log (+ 1 x)) (log x)) (pow n -1/2)) (*.f64 (neg.f64 (log.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))) (pow.f64 n #s(literal -1/2 binary64))))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	33.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 n x) x)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))
	26.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (pow.f64 (.f64 (.f64 n n) (*.f64 n n)) #s(literal -1/4 binary64)) x)))
✓	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))))

Compiler

Compiled 3 480 to 1 157 computations (66.8% saved)

regimes173.0ms (0.7%)

Memory

-20.2MiB live, 70.5MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #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 (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 n x) x)) (/.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (pow.f64 (.f64 (.f64 n n) (*.f64 n n)) #s(literal -1/4 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) (/ n (log x))) n) (neg.f64 n)) (*.f64 n (/.f64 n (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) x x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (log.f64 x))) x x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (log.f64 x) x) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (- x (log x)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (log.f64 x) x)) (*.f64 x x)) x x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) #s(approx (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (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 (-.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 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) n))) (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 (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (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 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 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 ( (- (log (+ 1 x)) (log x)) (pow n -1/2)) (*.f64 (neg.f64 (log.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))) (pow.f64 n #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 n))) (+.f64 (log.f64 x) (log1p.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) x) (.f64 x x)) #s(literal -1 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n (log.f64 x)) #s(literal -2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (expm1.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) (+.f64 (log.f64 x) (log1p.f64 x))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

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

Calls

4 calls:

75.0ms	(/.f64 #s(literal 1 binary64) n)
63.0ms	n
17.0ms	x
14.0ms	(-.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
91.0%	2	`x`
90.2%	5	`n`
86.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
90.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes27.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

41 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.2%	4	`(/.f64 #s(literal 1 binary64) n)`
76.8%	3	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes30.0ms (0.1%)

Memory

-23.1MiB live, 16.4MiB allocated

Counts

40 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
90.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

38 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
90.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes46.0ms (0.2%)

Memory

-19.3MiB live, 19.1MiB allocated

Counts

36 → 4

Calls

Call 1

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

Calls

1 calls:

44.0ms

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

Results

Accuracy	Segments	Branch
90.1%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

35 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
89.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes50.0ms (0.2%)

Memory

-22.3MiB live, 19.0MiB allocated

Counts

33 → 5

Calls

Call 1

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

Calls

2 calls:

38.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	n

Results

Accuracy	Segments	Branch
89.8%	6	`n`
89.8%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes12.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

32 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
89.7%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes13.0ms (0.1%)

Memory

-20.9MiB live, 17.3MiB allocated

Counts

27 → 5

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
89.6%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes16.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

25 → 5

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(/.f64 #s(literal 1 binary64) 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
81.1%	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)))`
89.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes61.0ms (0.3%)

Memory

-29.0MiB live, 46.2MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

38.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n

Results

Accuracy	Segments	Branch
81.1%	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)))`
77.7%	6	`n`
77.7%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes7.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
80.7%	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 13 to 8 computations (38.5% saved)

regimes44.0ms (0.2%)

Memory

2.9MiB live, 50.7MiB allocated

Counts

21 → 5

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	n
5.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
68.2%	7	`n`
66.1%	5	`(/.f64 #s(literal 1 binary64) n)`
66.6%	5	`x`
55.1%	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)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes28.0ms (0.1%)

Memory

-11.9MiB live, 26.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	x
4.0ms	n

Results

Accuracy	Segments	Branch
46.4%	1	`n`
48.6%	2	`(/.f64 #s(literal 1 binary64) n)`
53.6%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes41.0ms (0.2%)

Memory

9.6MiB live, 47.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

29.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n
4.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
46.4%	1	`n`
46.4%	1	`(/.f64 #s(literal 1 binary64) n)`
46.4%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
46.4%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes41.0ms (0.2%)

Memory

-14.8MiB live, 24.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

31.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n
3.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
46.4%	1	`x`
46.4%	1	`(/.f64 #s(literal 1 binary64) n)`
46.4%	1	`n`
46.4%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n
2.0ms	x
2.0ms	(-.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
39.6%	1	`(/.f64 #s(literal 1 binary64) n)`
39.6%	1	`x`
39.6%	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)))`
39.6%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 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
39.6%	1	`x`
39.6%	1	`(/.f64 #s(literal 1 binary64) n)`
39.6%	1	`n`
39.6%	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)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes21.0ms (0.1%)

Memory

-31.3MiB live, 13.6MiB allocated

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

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

Calls

4 calls:

17.0ms	(/.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
38.9%	1	`x`
38.9%	1	`(/.f64 #s(literal 1 binary64) n)`
38.9%	1	`n`
38.9%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch72.0ms (0.3%)

Memory

-1.3MiB live, 38.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	0.09687025849205547	508842.5413716939

Samples

47.0ms	33×	2	valid
9.0ms	51×	1	valid
5.0ms	60×	0	valid
1.0ms	14×	0	exit

Compiler

Compiled 430 to 283 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

adjust: 38.0ms (66.3% of total)

ival-pow: 15.0ms (26.2% of total)

ival-div: 2.0ms (3.5% of total)

ival-add: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4782653482657576e+143	1.8684267237580917e+153
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4782653482657576e+143	1.8684267237580917e+153
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4782653482657576e+143	1.8684267237580917e+153
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4782653482657576e+143	1.8684267237580917e+153
0.0ms	6.711262901600873e-10	0.021985655695727323
0.0ms	5.770497895679315e-32	4.892100241370493e-31
0.0ms	-1.1584087135794935e-12	-3.1327396556486375e-14

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9991227832387742	1.0
0.0ms	-0.868526624158348	-2.2071677818757962e-11

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9991227832387742	1.0
0.0ms	-0.868526624158348	-2.2071677818757962e-11

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch200.0ms (0.9%)

Memory

10.4MiB live, 169.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
39.0ms	6.447369969829129e+120	2.7239188695265085e+123
58.0ms	3.96599987614055e-15	2.002765342810721e-13
39.0ms	2.9611457163374075e-147	6.4128244854820005e-146
56.0ms	1.7984446232086939e-181	9.14832394232052e-179

Samples

82.0ms	122×	2	valid
61.0ms	170×	1	valid
24.0ms	188×	0	valid
2.0ms	25×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 2 092 to 1 377 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-pow: 63.0ms (41.5% of total)

ival-add: 36.0ms (23.7% of total)

ival-div: 36.0ms (23.7% of total)

adjust: 11.0ms (7.3% of total)

ival-sub: 4.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.447369969829129e+120	2.7239188695265085e+123

Compiler

Compiled 552 to 365 computations (33.9% saved)

simplify82.0ms (0.4%)

Memory

7.6MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	233	2201
1	331	2201
2	511	2177
3	1006	2166
4	2456	2070
5	6943	2070

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ ( (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) n))) (neg.f64 n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) #s(approx (/ (+ (* -1/3 x) (- 1/2 (/ (+ (* 1/6 (/ x n)) (+ (* -1/2 x) 1/2)) n))) (neg n)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1/2 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 8999297988583033/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (pow.f64 (.f64 (.f64 n n) (*.f64 n n)) #s(literal -1/4 binary64)) x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1/2 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 8999297988583033/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (pow.f64 (.f64 (.f64 x x) (*.f64 n n)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 6204919239966185/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 1349674138362959/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) (if (<=.f64 x #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 9900000000000000289402792537092787915820611661373859249337678485384385699049172751822526574609946868451225680194371059712 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))))))
(if (<=.f64 x #s(literal 9900000000000000289402792537092787915820611661373859249337678485384385699049172751822526574609946868451225680194371059712 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n -1)) (+ (log x) (log (+ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 n x))))

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

soundness1.4s (6.1%)

Memory

0.3MiB live, 1 035.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	355
0	72	323
1	281	295
2	1808	291
0	8690	262
0	43	317
0	75	317
1	361	295
2	3526	285
0	9689	280
0	930	5568
1	2907	5272
0	8148	4966
0	663	3464
1	2000	3253
2	5889	3184
0	8094	2980
0	263	1455
1	761	1349
2	2161	1275
3	7630	1269
0	8915	1165
0	515	2878
1	1602	2709
2	4949	2637
0	8207	2475

Stop Event

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

Compiler

Compiled 3 505 to 1 140 computations (67.5% saved)

preprocess92.0ms (0.4%)

Memory: 11.9MiB live, 88.0MiB allocated
Compiler: Compiled 4 524 to 492 computations (89.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	112	13
8	161	13
9	177	13
10	185	13
0	185	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	112	34
8	161	34
9	177	34
10	185	34
0	185	34

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	112	13
8	161	13
9	177	13
10	185	13
0	185	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	112	34
8	161	34
9	177	34
10	185	34
0	185	34

start0.0ms (0%)

analyze243.0ms (1.1%)

sample15.0s (65.2%)

explain489.0ms (2.1%)

preprocess32.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize88.0ms (0.4%)

series58.0ms (0.3%)

simplify209.0ms (0.9%)

rewrite159.0ms (0.7%)

eval87.0ms (0.4%)

prune15.0ms (0.1%)

simplify184.0ms (0.8%)

localize341.0ms (1.5%)

series186.0ms (0.8%)

simplify183.0ms (0.8%)

rewrite254.0ms (1.1%)

eval123.0ms (0.5%)

prune46.0ms (0.2%)

simplify188.0ms (0.8%)

localize531.0ms (2.3%)

series157.0ms (0.7%)

simplify187.0ms (0.8%)

rewrite279.0ms (1.2%)

eval130.0ms (0.6%)

prune64.0ms (0.3%)

simplify108.0ms (0.5%)

localize209.0ms (0.9%)

series228.0ms (1%)

simplify291.0ms (1.3%)

rewrite215.0ms (0.9%)

eval144.0ms (0.6%)

prune72.0ms (0.3%)

regimes173.0ms (0.7%)

regimes27.0ms (0.1%)

regimes30.0ms (0.1%)

regimes14.0ms (0.1%)

regimes46.0ms (0.2%)

regimes12.0ms (0.1%)

regimes50.0ms (0.2%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes16.0ms (0.1%)

regimes61.0ms (0.3%)

regimes7.0ms (0%)

regimes44.0ms (0.2%)

regimes28.0ms (0.1%)

regimes41.0ms (0.2%)

regimes41.0ms (0.2%)

regimes10.0ms (0%)

regimes6.0ms (0%)

regimes21.0ms (0.1%)

bsearch72.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch200.0ms (0.9%)

bsearch2.0ms (0%)

simplify82.0ms (0.4%)

soundness1.4s (6.1%)

preprocess92.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	112	13
8	161	13
9	177	13
10	185	13
0	185	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	112	34
8	161	34
9	177	34
10	185	34
0	185	34