Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze782.0ms (2.4%)

Memory

26.1MiB live, 771.0MiB 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)

sample25.7s (77.4%)

Memory

27.7MiB live, 29 385.4MiB allocated

Samples

18.1s	4 862×	5	exit
2.4s	2 854×	2	valid
1.7s	2 803×	1	valid
831.0ms	2 243×	1	exit
664.0ms	2 599×	0	valid
408.0ms	1 569×	0	exit
16.0ms	5×	4	exit
4.0ms	5×	2	exit
2.0ms	2×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 21.8s

ival-pow: 17.6s (80.5% of total)

adjust: 2.0s (9.3% of total)

ival-div: 1.0s (4.8% of total)

ival-add: 566.0ms (2.6% of total)

ival-sub: 561.0ms (2.6% of total)

ival-true: 22.0ms (0.1% of total)

exact: 17.0ms (0.1% of total)

ival-assert: 13.0ms (0.1% of total)

Bogosity

explain222.0ms (0.7%)

Memory

-55.0MiB live, 276.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
121	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
34	27	(1.6645021782003257e-181 4.9656554652104085e-51)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
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	121	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	61	0
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	136	0
-	47	73

Precision

0.7431693989071039

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	47	1	72

Precision?

0.7391304347826086

Recall?

1.0

Freqs

test

number	freq
0	73
1	183

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	246×	1	valid
66.0ms	158×	2	valid
9.0ms	108×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-pow: 76.0ms (63.1% of total)

ival-add: 14.0ms (11.6% of total)

adjust: 14.0ms (11.6% of total)

ival-div: 11.0ms (9.1% of total)

ival-sub: 5.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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	16	34
0	16	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (0.3%)

Memory

-25.7MiB live, 96.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.05059095591783974	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	8.183639465227253	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	27.776199268750364	(-.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

69.0ms	79×	2	valid
30.0ms	123×	1	valid
5.0ms	54×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 39.0ms (43% of total)

ival-pow: 38.0ms (41.9% of total)

adjust: 7.0ms (7.7% of total)

ival-div: 4.0ms (4.4% of total)

ival-sub: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.2%)

Memory

14.0MiB live, 122.5MiB 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
25.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
19.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
13.0ms	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)))

simplify147.0ms (0.4%)

Memory

40.4MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite192.0ms (0.6%)

Memory

-1.2MiB live, 333.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 295

Calls

Call 1

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

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

eval46.0ms (0.1%)

Memory: 8.0MiB live, 115.4MiB allocated
Compiler: Compiled 9 436 to 1 333 computations (85.9% saved)

prune37.0ms (0.1%)

Memory

-73.8MiB live, 37.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	345	16	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	345	17	362

Accuracy

99.7%

Counts

362 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.5%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
	21.4%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.2%	(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	29.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	40.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
▶	65.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶	73.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))
▶	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	59.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))

Compiler

Compiled 1 155 to 668 computations (42.2% saved)

simplify151.0ms (0.5%)

Memory

26.4MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
cost-diff	4	(-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n))
cost-diff	7	(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))
cost-diff	0	(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
cost-diff	0	(/.f64 (log.f64 x) n)
cost-diff	0	(exp.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
cost-diff	0	(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x))
cost-diff	0	(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1014
0	136	1014
1	234	986
2	543	980
3	2123	964
0	8234	961

Stop Event

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

Calls

Call 1

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

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

localize458.0ms (1.4%)

Memory

13.9MiB live, 567.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.098884823307934	(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x))
accuracy	7.628863593095236	(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))
accuracy	11.042908204715822	(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
accuracy	28.477909474931458	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
accuracy	0.4326362793053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	19.382790547601935	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
accuracy	20.162832092044507	(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x))
accuracy	24.739241697744095	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	0.05549257271092109	(exp.f64 (/.f64 (log.f64 x) n))
accuracy	0.2265625	(/.f64 (log.f64 x) n)
accuracy	3.2368615584396516	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy	27.7644783578685	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.05059095591783974	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	14.728328258856642	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	27.776199268750364	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	15.633493400132018	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))
accuracy	17.552446672986704	(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x))
accuracy	24.739241697744095	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.75692555656309	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

189.0ms	130×	1	valid
141.0ms	81×	2	valid
36.0ms	32×	0	exit
8.0ms	13×	0	valid

Compiler

Compiled 947 to 75 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-div: 81.0ms (26% of total)

ival-pow: 59.0ms (18.9% of total)

adjust: 43.0ms (13.8% of total)

const: 24.0ms (7.7% of total)

ival-add: 20.0ms (6.4% of total)

ival-mult: 18.0ms (5.8% of total)

ival-sub: 16.0ms (5.1% of total)

ival-log: 15.0ms (4.8% of total)

ival-log1p: 14.0ms (4.5% of total)

ival-pow2: 12.0ms (3.8% of total)

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

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

exact: 1.0ms (0.3% of total)

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

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

series219.0ms (0.7%)

Memory

42.1MiB live, 373.2MiB allocated

Counts

25 → 275

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
61.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
50.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
31.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
30.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
20.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))

simplify221.0ms (0.7%)

Memory

-56.1MiB live, 265.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1781	13875
1	6242	13392
0	8370	12751

Stop Event

1×	iter limit
1×	node limit

Counts

275 → 275

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

rewrite223.0ms (0.7%)

Memory

30.7MiB live, 261.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	672
0	136	672
1	576	648
2	4914	648
0	8246	645

Stop Event

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

Counts

25 → 353

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))) (neg.f64 n))
(/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n)))
(/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64))) (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) n)
(/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n))
(neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) n))
(-.f64 (/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) (neg.f64 n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)))
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(/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x) (.f64 x x) (.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) x) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x) (-.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 x x)))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (-.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x) #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x))) (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) x)) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (.f64 x x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64))) n)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -11/24 binary64) n) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) #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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 x x)))

eval112.0ms (0.3%)

Memory: 10.4MiB live, 118.0MiB allocated
Compiler: Compiled 59 545 to 4 984 computations (91.6% saved)

prune44.0ms (0.1%)

Memory

-54.7MiB live, 55.8MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	697	22	719
Fresh	6	5	11
Picked	3	2	5
Done	0	1	1
Total	706	30	736

Accuracy

99.9%

Counts

736 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.2%	(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) n) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
	11.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) n (/.f64 (.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (/.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64))))) x))
▶	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n)))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)))) n))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (+.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 x)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)))))) (neg.f64 n)))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))) n)))
	65.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
▶	29.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
✓	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))
	46.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
▶	73.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
▶	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
	10.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
	25.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
▶	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))

Compiler

Compiled 3 615 to 1 895 computations (47.6% saved)

simplify106.0ms (0.3%)

Memory

61.1MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n)))
cost-diff	2	(fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x)))
cost-diff	4	(/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n))
cost-diff	0	(cosh.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
cost-diff	10	(+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)))
cost-diff	0	(-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
cost-diff	2	(neg.f64 (neg.f64 (log.f64 x)))
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 (/ (exp (/ (log x) n)) (* n 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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff	0	(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))
cost-diff	0	(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
cost-diff	3	(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	847
0	106	811
1	183	805
2	407	797
3	1325	797
4	5842	797
0	8456	793

Stop Event

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

Calls

Call 1

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

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

localize460.0ms (1.4%)

Memory

-74.4MiB live, 190.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.315266334005516	(/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n))
accuracy	15.626553907051886	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy	15.627403717152543	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	19.545644901292782	(fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x)))
accuracy	0.203125	(/.f64 (log.f64 x) n)
accuracy	0.5298454447606986	(/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy	0.7100822283298103	(+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)))
accuracy	20.190383484447278	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
accuracy	0.203125	(/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)
accuracy	5.70668553294737	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
accuracy	15.610497075850269	(-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x))
accuracy	28.835251720367275	#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy	6.825996724829711	#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy	20.190383484447278	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy	4.127754834196525	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
accuracy	8.820056113264068	(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))
accuracy	15.626553907051886	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy	15.627403717152543	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

180.0ms	71×	1	exit
113.0ms	79×	2	valid
65.0ms	68×	1	valid
54.0ms	38×	0	valid

Compiler

Compiled 790 to 55 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-pow: 183.0ms (52.1% of total)

ival-div: 33.0ms (9.4% of total)

adjust: 31.0ms (8.8% of total)

ival-exp: 26.0ms (7.4% of total)

ival-mult: 17.0ms (4.8% of total)

ival-add: 11.0ms (3.1% of total)

ival-sub: 9.0ms (2.6% of total)

ival-pow2: 8.0ms (2.3% of total)

ival-log: 8.0ms (2.3% of total)

ival-log1p: 8.0ms (2.3% of total)

ival-neg: 6.0ms (1.7% of total)

const: 5.0ms (1.4% of total)

ival-cosh: 4.0ms (1.1% of total)

ival-sinh: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series114.0ms (0.3%)

Memory

-26.4MiB live, 81.3MiB allocated

Counts

23 → 221

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (neg (neg (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (/ (cosh (/ (log x) n)) (* n x)) (/ (sinh (/ (log x) n)) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (cosh (/ (log x) n)) (* n x)) (cosh (/ (log x) n)) (/ (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (* n n)) (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/ (log x) n))
23.0ms	n	@	-inf	((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (neg (neg (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (/ (cosh (/ (log x) n)) (* n x)) (/ (sinh (/ (log x) n)) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (cosh (/ (log x) n)) (* n x)) (cosh (/ (log x) n)) (/ (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (* n n)) (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/ (log x) n))
19.0ms	x	@	inf	((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (neg (neg (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (/ (cosh (/ (log x) n)) (* n x)) (/ (sinh (/ (log x) n)) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (cosh (/ (log x) n)) (* n x)) (cosh (/ (log x) n)) (/ (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (* n n)) (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/ (log x) n))
16.0ms	n	@	inf	((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (neg (neg (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (/ (cosh (/ (log x) n)) (* n x)) (/ (sinh (/ (log x) n)) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (cosh (/ (log x) n)) (* n x)) (cosh (/ (log x) n)) (/ (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (* n n)) (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/ (log x) n))
12.0ms	x	@	0	((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (neg (neg (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (/ (cosh (/ (log x) n)) (* n x)) (/ (sinh (/ (log x) n)) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (cosh (/ (log x) n)) (* n x)) (cosh (/ (log x) n)) (/ (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (* n n)) (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (/ (log x) n))

simplify177.0ms (0.5%)

Memory

88.4MiB live, 192.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1332	10280
1	4762	9744
0	8167	9171

Stop Event

1×	iter limit
1×	node limit

Counts

221 → 221

Calls

Call 1

Inputs
(+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))))
(+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (/ x n))))
(+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
(+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 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 (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)))
(/ (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) n)
(+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (/ x n)))
(+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))))
(+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 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 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(log x)
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ (* 1/2 (/ (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))) n)) (* 1/2 (/ (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))) n))) x)
(* 1/2 (/ (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))) (* n x)))
(* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))
(/ (+ (* -1 (* n (log x))) (* n (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))) (pow n 2))
(+ (* -1 (/ (log x) n)) (+ (/ x n) (/ (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) n)))
(+ (* -1 (/ (log x) n)) (+ (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) n)))
(+ (* -1 (/ (log x) n)) (+ (* 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))) (/ (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) n)))
(+ (* -1 (* n (log x))) (* n (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))))
(+ (* -1 (* n (log x))) (+ (* n x) (* n (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))))
(+ (* -1 (* n (log x))) (+ (* n (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) (* x (+ n (* n (* x (- (* 1/2 (/ 1 n)) 1/2)))))))
(+ (* -1 (* n (log x))) (+ (* n (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) (* x (+ n (* x (+ (* n (* x (- (+ 1/3 (* 1/6 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- (* 1/2 (/ 1 n)) 1/2))))))))
(* -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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(* -1/2 (/ (pow (log x) 2) n))
(+ x (* -1/2 (/ (pow (log x) 2) n)))
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(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))
(/ (log x) n)
(+ (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 3))))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (+ (* 1/2 (/ (+ (/ 1 (pow n 2)) (/ (log (/ 1 x)) (pow n 2))) (pow x 2))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n))))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 3))))) (pow x 2))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 3))) (+ (* 2 (/ (log (/ 1 x)) (pow n 3))) (/ 1 (pow n 3))))) (pow x 3))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (+ (* 1/2 (/ (+ (/ 1 (pow n 2)) (/ (log (/ 1 x)) (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 3))) (+ (/ 1/3 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n)))))))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(/ (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 (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (/ 1 (* n x)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n (pow x 2)))) (/ 1 (* n x))))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 3)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* (pow n 3) x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n (pow x 2)))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 3)))) (+ (/ 1/3 (* n (pow x 3))) (/ 1 (* n x)))))))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(log (/ 1 x))
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(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))))) n))) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(* -1 (* n (+ (log x) (* -1 (log (+ 1 x))))))
(* -1 (* n (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
(* -1 (* n (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))))))

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

rewrite162.0ms (0.5%)

Memory

-28.4MiB live, 101.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	546
0	106	510
1	405	496
2	3070	496
0	8212	492

Stop Event

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

Counts

23 → 338

Calls

Call 1

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

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

eval98.0ms (0.3%)

Memory: 2.3MiB live, 110.7MiB allocated
Compiler: Compiled 46 748 to 3 733 computations (92% saved)

prune49.0ms (0.1%)

Memory

-42.0MiB live, 69.5MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	620	13	633
Fresh	3	19	22
Picked	3	2	5
Done	0	3	3
Total	626	37	663

Accuracy

99.9%

Counts

663 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.2%	(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	34.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) n) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
	11.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) n (/.f64 (.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (/.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64))))) x))
	16.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (neg.f64 n) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (.f64 n n) (.f64 (.f64 n n) (.f64 (neg.f64 n) (log.f64 x)))) (pow.f64 n #s(literal 4 binary64))))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)))) n))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (+.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 x)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)))))) (neg.f64 n)))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))) n)))
▶	65.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	22.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 n) (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (log.f64 x))) (*.f64 n n))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
✓	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
▶	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))
	46.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
	41.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (fma.f64 (neg.f64 (log.f64 x)) n (.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) n))) (*.f64 n n)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
✓	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
▶	10.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
	25.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
	21.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
✓	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
▶	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
▶	14.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
	46.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
	29.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))

Compiler

Compiled 4 437 to 2 342 computations (47.2% saved)

simplify130.0ms (0.4%)

Memory

49.5MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	5	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x))
cost-diff	1	(*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64))
cost-diff	1	(fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))))
cost-diff	2	(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
cost-diff	1	(.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64))
cost-diff	1	(exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 n x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 n x))
cost-diff	0	#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
cost-diff	0	(pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1574
0	213	1561
1	383	1475
2	1021	1471
3	4499	1467
0	8298	1457

Stop Event

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

Calls

Call 1

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

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

localize478.0ms (1.4%)

Memory

-71.5MiB live, 147.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.937472479416279	(.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))) (exp.f64 (/.f64 (log.f64 x) n)))
accuracy	5.929654475299536	(.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))) (exp.f64 (/.f64 (log.f64 x) n)))
accuracy	11.179634188125698	(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))
accuracy	15.904340205094474	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.3212785862085709	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))
accuracy	3.253879415792676	(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
accuracy	8.874251591768816	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
accuracy	15.505768174506596	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy	1.7425103816217504	(exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))
accuracy	4.895063953615671	(log.f64 (*.f64 n x))
accuracy	8.977019866422	#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64))))
accuracy	15.839744460877197	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
accuracy	0.0	(*.f64 n x)
accuracy	0.18766880314924286	(/.f64 #s(literal 1 binary64) (*.f64 n x))
accuracy	8.977019866422	#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
accuracy	15.839744460877197	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
accuracy	0.18425751953688402	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	7.5099023891175944	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	7.509908917284359	(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	8.874251591768816	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))

Samples

157.0ms	158×	0	invalid
104.0ms	55×	1	valid
85.0ms	36×	2	valid
6.0ms	7×	0	valid

Compiler

Compiled 1 185 to 119 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-div: 66.0ms (23% of total)

ival-mult: 38.0ms (13.2% of total)

ival-pow: 33.0ms (11.5% of total)

ival-add: 31.0ms (10.8% of total)

const: 29.0ms (10.1% of total)

adjust: 29.0ms (10.1% of total)

ival-sub: 17.0ms (5.9% of total)

ival-neg: 13.0ms (4.5% of total)

ival-pow2: 10.0ms (3.5% of total)

ival-log: 9.0ms (3.1% of total)

ival-exp: 6.0ms (2.1% of total)

ival-log1p: 4.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series238.0ms (0.7%)

Memory

43.1MiB live, 147.6MiB allocated

Counts

28 → 237

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n))
(-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(*.f64 n x)
(exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 (*.f64 n x))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))
(.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))) (exp.f64 (/.f64 (log.f64 x) n)))
(.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))) (exp.f64 (/.f64 (log.f64 x) 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)))
(/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x)))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3))) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3))) (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/6)) (pow x 3))) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (+ (* -1/6 (/ (* (pow (log x) 3) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* 1/24 (/ 1 (pow x 4))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/2 (/ (* (pow (log x) 2) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3)))))))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3)))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (+ 1/4 (* x (- (* -1 (* x (- x 1/2))) 1/3))) (* n (pow x 4))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4)))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/2 (log x)) (* 1/2 (* x (pow (log x) 2))))) (pow x 2))) (+ (* -11/24 (/ (log x) (pow x 4))) (+ (* -1/6 (/ (pow (log x) 2) (pow x 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow x 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (log x) (pow x 3)))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* -1/6 (* x (pow (log x) 3))) (* 1/12 (pow (log x) 3)))) (pow x 2))) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* -1/4 (/ (pow (log x) 2) (pow x 3))) (+ (* -1/24 (/ (pow (log x) 3) (pow x 4))) (+ (* 1/24 (/ 1 (pow x 4))) (+ (* 1/18 (/ (pow (log x) 3) (pow x 3))) (+ (* 1/6 (/ (log x) (pow x 3))) (* 11/48 (/ (pow (log x) 2) (pow x 4)))))))))) n)) (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/2 (log x)) (* 1/2 (* x (pow (log x) 2))))) (pow x 2))) (+ (* -11/24 (/ (log x) (pow x 4))) (+ (* -1/6 (/ (pow (log x) 2) (pow x 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow x 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (log x) (pow x 3))))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(+ (log (* -1 x)) (* -1 (log (/ -1 n))))
(+ (* -1/2 (/ (+ 1 (* -2/3 (log x))) (* n (pow x 2)))) (* 1/3 (/ 1 (pow x 2))))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (* -1/4 (log x))) n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (+ (* -1 (/ (+ 1/4 (+ (* -11/24 (log x)) (* 1/8 (pow (log x) 2)))) n)) (* -1/4 (log x)))) n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (+ 1/24 (+ (* -1/4 (log x)) (+ (* -1/24 (pow (log x) 3)) (* 11/48 (pow (log x) 2))))) n)) (+ (* -11/24 (log x)) (* 1/8 (pow (log x) 2))))) n)) (* -1/4 (log x)))) n))) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (log x)) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (pow (log x) 2)) (* 1/2 (log x))) 1/6) n)) (* 1/3 (log x))) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/18 (pow (log x) 3)) (* 1/6 (log x)))) n)) (+ (* -1/6 (pow (log x) 2)) (* 1/2 (log x)))) 1/6) n)) (* 1/3 (log x))) 1/2) n)) 1/3) n))

Calls

6 calls:

Time	Variable		Point	Expression
76.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* -1 (log x)) 1) (* -2/3 (/ (neg (log x)) n)) (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n))) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n))))
38.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* -1 (log x)) 1) (* -2/3 (/ (neg (log x)) n)) (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n))) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n))))
32.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* -1 (log x)) 1) (* -2/3 (/ (neg (log x)) n)) (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n))) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n))))
31.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* -1 (log x)) 1) (* -2/3 (/ (neg (log x)) n)) (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n))) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n))))
31.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (+ (* -1 (log x)) 1) (* -2/3 (/ (neg (log x)) n)) (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n))) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n))))

simplify201.0ms (0.6%)

Memory

-17.2MiB live, 202.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1795	14199
1	6252	13839
0	8247	12944

Stop Event

1×	iter limit
1×	node limit

Counts

237 → 237

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)))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x)))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3))) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3))) (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/6)) (pow x 3))) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (+ (* -1/6 (/ (* (pow (log x) 3) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3))) (+ (* 1/24 (/ 1 (pow x 4))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/2 (/ (* (pow (log x) 2) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 3)))))))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 3)))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 11/24 (/ 1 (pow x 4))) (/ (log x) x))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (/ 1/4 (pow x 4)) (/ 1/2 (pow x 2)))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (+ 1/4 (* x (- (* -1 (* x (- x 1/2))) 1/3))) (* n (pow x 4))))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4)))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/2 (log x)) (* 1/2 (* x (pow (log x) 2))))) (pow x 2))) (+ (* -11/24 (/ (log x) (pow x 4))) (+ (* -1/6 (/ (pow (log x) 2) (pow x 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow x 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (log x) (pow x 3)))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (log x))) (* 1/2 (log x))) 1/2) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* -1/6 (* x (pow (log x) 3))) (* 1/12 (pow (log x) 3)))) (pow x 2))) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* -1/4 (/ (pow (log x) 2) (pow x 3))) (+ (* -1/24 (/ (pow (log x) 3) (pow x 4))) (+ (* 1/24 (/ 1 (pow x 4))) (+ (* 1/18 (/ (pow (log x) 3) (pow x 3))) (+ (* 1/6 (/ (log x) (pow x 3))) (* 11/48 (/ (pow (log x) 2) (pow x 4)))))))))) n)) (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/2 (log x)) (* 1/2 (* x (pow (log x) 2))))) (pow x 2))) (+ (* -11/24 (/ (log x) (pow x 4))) (+ (* -1/6 (/ (pow (log x) 2) (pow x 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow x 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ (log x) (pow x 3))))))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* -1/4 (/ (log x) (pow x 4))) (+ (* 1/3 (/ (log x) (pow x 3))) (* 11/24 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 3)))) n)) (+ (* 1/4 (/ 1 (pow x 4))) (/ (- (* -1 (* x (- x 1/2))) 1/3) (pow x 3)))) n))
(+ (log (* -1 x)) (* -1 (log (/ -1 n))))
(+ (* -1/2 (/ (+ 1 (* -2/3 (log x))) (* n (pow x 2)))) (* 1/3 (/ 1 (pow x 2))))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (* -1/4 (log x))) n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (+ (* -1 (/ (+ 1/4 (+ (* -11/24 (log x)) (* 1/8 (pow (log x) 2)))) n)) (* -1/4 (log x)))) n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 11/24 (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (+ 1/24 (+ (* -1/4 (log x)) (+ (* -1/24 (pow (log x) 3)) (* 11/48 (pow (log x) 2))))) n)) (+ (* -11/24 (log x)) (* 1/8 (pow (log x) 2))))) n)) (* -1/4 (log x)))) n))) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (log x)) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (pow (log x) 2)) (* 1/2 (log x))) 1/6) n)) (* 1/3 (log x))) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (pow (log x) 2)) (+ (* 1/18 (pow (log x) 3)) (* 1/6 (log x)))) n)) (+ (* -1/6 (pow (log x) 2)) (* 1/2 (log x)))) 1/6) n)) (* 1/3 (log x))) 1/2) n)) 1/3) n))

Outputs
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(- (+ 1 (/ x n)) (exp (/ (log x) n)))
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rewrite187.0ms (0.6%)

Memory

51.7MiB live, 160.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	961
0	213	952
1	918	842
0	8486	836

Stop Event

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

Counts

28 → 315

Calls

Call 1

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

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

eval109.0ms (0.3%)

Memory: -33.2MiB live, 73.4MiB allocated
Compiler: Compiled 68 245 to 5 044 computations (92.6% saved)

prune48.0ms (0.1%)

Memory

46.7MiB live, 46.7MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	594	11	605
Fresh	5	22	27
Picked	4	1	5
Done	0	5	5
Total	603	39	642

Accuracy

99.9%

Counts

642 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.2%	(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) n (/.f64 (.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (/.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64))))) x))
	16.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (neg.f64 n) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (.f64 n n) (.f64 (.f64 n n) (.f64 (neg.f64 n) (log.f64 x)))) (pow.f64 n #s(literal 4 binary64))))
	63.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)))) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))) n)))
	22.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 n) (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (log.f64 x))) (*.f64 n n))))
	42.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)) (.f64 (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
✓	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	41.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))
	46.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
	41.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (fma.f64 (neg.f64 (log.f64 x)) n (.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) n))) (*.f64 n n)))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
✓	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
	6.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
	21.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
✓	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
✓	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	22.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
	14.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
	46.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
	29.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))

Compiler

Compiled 6 431 to 1 820 computations (71.7% saved)

regimes70.0ms (0.2%)

Memory

-81.1MiB live, 30.5MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (fma.f64 (neg.f64 (log.f64 x)) n (.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) n) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (.f64 (neg.f64 n) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (.f64 n n) (.f64 (.f64 n n) (.f64 (neg.f64 n) (log.f64 x)))) (pow.f64 n #s(literal 4 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) x (.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) n (/.f64 (.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (/.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64))))) x))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 n) (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (log.f64 x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)) (.f64 (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (+.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 x)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)))))) (neg.f64 n)))

Outputs

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

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

Calls

4 calls:

17.0ms	(/.f64 #s(literal 1 binary64) n)
17.0ms	x
17.0ms	n
13.0ms	(-.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
86.5%	2	`x`
86.0%	3	`n`
85.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
86.4%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes17.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (fma.f64 (neg.f64 (log.f64 x)) n (.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) n) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)))

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (fma.f64 (neg.f64 (log.f64 x)) n (.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(approx (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) n) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.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 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n n))) (neg.f64 n)))

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes32.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.7%	3	`n`
86.0%	3	`(/.f64 #s(literal 1 binary64) n)`
78.8%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes24.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

28 → 4

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

3 calls:

8.0ms	n
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
79.3%	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)))`
80.0%	3	`n`
82.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes9.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

27 → 4

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
82.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes17.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Outputs

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

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

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

Calls

2 calls:

8.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	x

Results

Accuracy	Segments	Branch
73.4%	2	`x`
80.3%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes21.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) #s(approx (/ (+ (* (+ (* (/ (+ (* (- (/ 1/2 n) 1/2) (exp (/ (log x) n))) (* (exp (/ (log x) n)) x)) n) x) (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) (exp (/ (log x) n)))) x) (* (- (+ (/ 11/24 (* n n)) (/ 1/24 (pow n 4))) (+ (/ 1/4 (pow n 3)) (/ 1/4 n))) (exp (/ (log x) n)))) (pow x 4)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (log x) n) 1) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x)))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (+ (* (- (* -2/3 (/ (neg (log x)) n)) (/ 1 n)) 1/2) 1/3) (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (.f64 (pow.f64 (.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/.f64 (log1p.f64 x) n)) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (* (neg n) (log x))) (.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) n)) (.f64 n n)))

Outputs

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

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

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

Calls

3 calls:

8.0ms	n
7.0ms	(/.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
79.3%	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)))`
66.7%	3	`n`
66.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes23.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.1%	4	`n`
51.1%	3	`(/.f64 #s(literal 1 binary64) n)`
54.4%	3	`x`
51.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
54.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
53.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

4 calls:

3.0ms	n
2.0ms	(/.f64 #s(literal 1 binary64) 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
47.3%	3	`n`
47.7%	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)))`
47.3%	3	`(/.f64 #s(literal 1 binary64) n)`
47.6%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0%)

Memory

-105.0MiB live, 6.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.0%	1	`n`
35.0%	1	`(/.f64 #s(literal 1 binary64) n)`
35.0%	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)))`
35.0%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 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
34.3%	1	`x`
34.3%	1	`(/.f64 #s(literal 1 binary64) n)`
34.3%	1	`n`
34.3%	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)

bsearch35.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	5.3434042422332096e-5	0.05293510872780062

Samples

10.0ms	51×	1	valid
8.0ms	18×	2	valid
6.0ms	59×	0	valid

Compiler

Compiled 624 to 397 computations (36.4% saved)

Precisions

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

ival-pow: 12.0ms (63.1% of total)

adjust: 3.0ms (15.8% of total)

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

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% 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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.3434042422332096e-5	0.05293510872780062

Compiler

Compiled 600 to 381 computations (36.5% saved)

bsearch18.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.3434042422332096e-5	0.05293510872780062

Samples

7.0ms	19×	2	valid
4.0ms	20×	1	valid
2.0ms	25×	0	valid

Compiler

Compiled 880 to 533 computations (39.4% saved)

Precisions

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

ival-pow: 7.0ms (66.3% of total)

adjust: 2.0ms (18.9% of total)

ival-div: 1.0ms (9.5% of total)

ival-sub: 1.0ms (9.5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.3434042422332096e-5	0.05293510872780062

Compiler

Compiled 832 to 509 computations (38.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.778146211763658e-8	2.983665231228578e-7
0.0ms	-1.9765564241963994e-8	-3.770651349569671e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.557051371947711e+135	9.106731444798528e+136
0.0ms	5.778146211763658e-8	2.983665231228578e-7
0.0ms	-1.9765564241963994e-8	-3.770651349569671e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.6981397416883215e+121	9.977060635378654e+129
0.0ms	8.206311051338625e-15	5.778146211763658e-8
0.0ms	-1.9765564241963994e-8	-3.770651349569671e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.778146211763658e-8	2.983665231228578e-7
0.0ms	-1.9765564241963994e-8	-3.770651349569671e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0537989301950823e-5
0.0ms	-7.123356604576969e-7	-2.2562145485238716e-9

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch70.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.61970304438388e+167	1.2708654245894734e+168
32.0ms	5.5078421546464185	3583.650995102277

Samples

33.0ms	87×	2	valid
10.0ms	51×	1	valid
7.0ms	86×	0	valid
3.0ms	36×	0	exit

Compiler

Compiled 1 864 to 1 127 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 28.0ms (64.8% of total)

adjust: 6.0ms (13.9% of total)

ival-div: 4.0ms (9.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.61970304438388e+167	1.2708654245894734e+168
1.0ms	5.5078421546464185	3583.650995102277

Compiler

Compiled 1 892 to 1 141 computations (39.7% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.61970304438388e+167	1.2708654245894734e+168
1.0ms	5.5078421546464185	3583.650995102277

Compiler

Compiled 1 052 to 679 computations (35.5% saved)

bsearch26.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.61970304438388e+167	1.2708654245894734e+168
23.0ms	0.05293510872780062	5.5078421546464185

Samples

8.0ms	47×	1	valid
5.0ms	16×	2	valid
4.0ms	49×	0	valid
1.0ms	8×	0	exit

Compiler

Compiled 934 to 604 computations (35.3% saved)

Precisions

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

ival-pow: 9.0ms (62% of total)

adjust: 2.0ms (13.8% of total)

ival-div: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

ival-sub: 1.0ms (6.9% 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

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.61970304438388e+167	1.2708654245894734e+168
1.0ms	5.5078421546464185	3583.650995102277

Compiler

Compiled 950 to 621 computations (34.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.5078421546464185	3583.650995102277

Compiler

Compiled 368 to 261 computations (29.1% saved)

simplify71.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	1720
1	385	1705
2	708	1691
3	1793	1687
4	6786	1687

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7493989779944505/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
(if (<=.f64 x #s(literal 7493989779944505/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (neg n)) (/ (neg (log x)) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ ( 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))

soundness1.2s (3.6%)

Memory

21.2MiB live, 21.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1332	10280
1	4762	9744
0	8167	9171
0	263	1453
1	845	1330
2	3085	1283
0	8423	1173
0	1781	13875
1	6242	13392
0	8370	12751
0	8	31
0	13	31
1	59	31
2	373	31
3	3875	31
0	8189	27
0	1795	14199
1	6252	13839
0	8247	12944
0	77	672
0	136	672
1	576	648
2	4914	648
0	8246	645
0	67	546
0	106	510
1	405	496
2	3070	496
0	8212	492

Stop Event

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

Compiler

Compiled 2 344 to 708 computations (69.8% saved)

preprocess207.0ms (0.6%)

Memory: -59.1MiB live, 56.2MiB allocated
Compiler: Compiled 3 456 to 500 computations (85.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze782.0ms (2.4%)

sample25.7s (77.4%)

explain222.0ms (0.7%)

preprocess13.0ms (0%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize112.0ms (0.3%)

series61.0ms (0.2%)

simplify147.0ms (0.4%)

rewrite192.0ms (0.6%)

eval46.0ms (0.1%)

prune37.0ms (0.1%)

simplify151.0ms (0.5%)

localize458.0ms (1.4%)

series219.0ms (0.7%)

simplify221.0ms (0.7%)

rewrite223.0ms (0.7%)

eval112.0ms (0.3%)

prune44.0ms (0.1%)

simplify106.0ms (0.3%)

localize460.0ms (1.4%)

series114.0ms (0.3%)

simplify177.0ms (0.5%)

rewrite162.0ms (0.5%)

eval98.0ms (0.3%)

prune49.0ms (0.1%)

simplify130.0ms (0.4%)

localize478.0ms (1.4%)

series238.0ms (0.7%)

simplify201.0ms (0.6%)

rewrite187.0ms (0.6%)

eval109.0ms (0.3%)

prune48.0ms (0.1%)

regimes70.0ms (0.2%)

regimes17.0ms (0.1%)

regimes16.0ms (0%)

regimes12.0ms (0%)

regimes32.0ms (0.1%)

regimes24.0ms (0.1%)

regimes9.0ms (0%)

regimes17.0ms (0.1%)

regimes21.0ms (0.1%)

regimes23.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

bsearch35.0ms (0.1%)

bsearch2.0ms (0%)

bsearch18.0ms (0.1%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch70.0ms (0.2%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch26.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify71.0ms (0.2%)

soundness1.2s (3.6%)

preprocess207.0ms (0.6%)

end0.0ms (0%)

Profiling