Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze286.0ms (1.2%)

Memory

7.8MiB live, 346.4MiB allocated; 47ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample19.3s (82.9%)

Memory

-79.5MiB live, 10 792.2MiB allocated; 3.1s collecting garbage

Samples

14.9s	7 202×	5	exit
1.5s	2 828×	2	valid
1.3s	2 867×	1	valid
244.0ms	2 561×	0	valid
176.0ms	1 628×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 16.9s

ival-pow: 14.2s (83.9% of total)

adjust: 1.4s (8.4% of total)

ival-div: 558.0ms (3.3% of total)

ival-add: 393.0ms (2.3% of total)

ival-sub: 326.0ms (1.9% of total)

exact: 24.0ms (0.1% of total)

ival-assert: 9.0ms (0.1% of total)

Bogosity

explain265.0ms (1.1%)

Memory

16.2MiB live, 64.5MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	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)))`
30	34	(6.548160779161962e-264 8.991381709158558e-184)	-	`(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	126	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	64	0
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	1	0
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	nan-rescue	1	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	20
↳	`(/.f64 #s(literal 1 binary64) n)`	overflow	1
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	27
↳	`(/.f64 #s(literal 1 binary64) n)`	overflow	1

Confusion

	Predicted +	Predicted -
+	145	0
-	47	64

Precision

0.7552083333333334

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	0	0
-	47	0	64

Precision?

0.7552083333333334

Recall?

1.0

Freqs

test

number	freq
0	64
1	192

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	256×	1	valid
83.0ms	178×	2	valid
7.0ms	78×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-pow: 119.0ms (73.1% of total)

adjust: 23.0ms (14.1% of total)

ival-div: 9.0ms (5.5% of total)

ival-add: 6.0ms (3.7% of total)

ival-sub: 5.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess184.0ms (0.8%)

Memory

-29.9MiB live, 30.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	31	84
2	37	84
3	61	84
4	144	84
5	950	82
6	5326	82
0	8	13
0	13	13
1	16	13
2	19	13
3	32	13
4	75	13
5	372	13
6	6791	13
0	8238	13

Stop Event

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

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 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)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(-.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 13 to 8 computations (38.5% saved)

series52.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

8 → 55

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
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 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
23.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
7.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) 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) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite142.0ms (0.6%)

Memory

8.5MiB live, 50.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2278
0	333	2030
1	2123	2017
0	8169	1898

Stop Event

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

Counts

63 → 102

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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))

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

eval12.0ms (0.1%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 327 to 499 computations (85% saved)

prune17.0ms (0.1%)

Memory

-35.0MiB live, 11.8MiB allocated; 2ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	96	18	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	18	115

Accuracy

99.8%

Counts

115 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (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 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	49.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))))
	18.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	27.7%	(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.2%	(-.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)))
▶	55.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	34.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	64.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 x)) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
▶	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
	68.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
▶	73.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	64.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))

Compiler

Compiled 1 166 to 694 computations (40.5% saved)

series179.0ms (0.8%)

Memory

42.9MiB live, 87.0MiB allocated; 6ms collecting garbage

Counts

44 → 394

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (pow (log (+ 1 x)) 2) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (/ (pow (log x) 2) n))
29.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (pow (log (+ 1 x)) 2) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (/ (pow (log x) 2) n))
27.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (pow (log (+ 1 x)) 2) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (/ (pow (log x) 2) n))
24.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (pow (log (+ 1 x)) 2) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (/ (pow (log x) 2) n))
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rewrite237.0ms (1%)

Memory

-21.1MiB live, 94.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2231	24988
0	2305	24301
0	8402	23447

Stop Event

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

Counts

438 → 476

Calls

Call 1

Inputs
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(*.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))))
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n
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#s(approx (log (+ 1 x)) #s(hole binary64 x))
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#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 2) (+ 1/2 (* x (- (* 1/6 (/ 1 n)) 1/2))))))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 2) (+ 1/2 (* x (- (+ (* 1/6 (/ 1 n)) (* x (- 11/24 (* 1/4 (/ 1 n))))) 1/2))))))))
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#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) #s(hole binary64 (+ (* 1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (- (* 1/4 (/ x n)) (* 1/6 (/ 1 n)))))))
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#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
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#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 1))
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#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
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#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (* -1 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))))
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#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 x))
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#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (+ 1/3 (* x (- (* 11/24 (/ 1 n)) 1/4))) (* 1/2 (/ 1 n))))) 1/2))))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) #s(hole binary64 (/ (pow x 2) n)))
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#s(approx (/ (pow (log (+ 1 x)) 2) n) #s(hole binary64 (* (pow x 2) (+ (* x (- (* x (+ (* -5/6 (/ x n)) (* 11/12 (/ 1 n)))) (/ 1 n))) (/ 1 n)))))
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#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2))))
#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))))) (pow n 2))))
#s(approx (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))))
#s(approx (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) n)))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))))
#s(approx n #s(hole binary64 n))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (/ (log (+ 1 x)) n)))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) (pow n 2))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (pow n 2))))
#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n)))
#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n)))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 (/ (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (log (+ 1 x)))) n)))
#s(approx (/ (pow (log (+ 1 x)) 2) n) #s(hole binary64 (/ (pow (log (+ 1 x)) 2) n)))
#s(approx (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (+ (log x) (* -1 (log (+ 1 x))))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (+ (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))))) n)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) #s(hole binary64 (+ (log x) (* -1 (log (+ 1 x))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 (log (+ 1 x))) (+ (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))))))
#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
#s(approx (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))
#s(approx (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))
#s(approx (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole 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))))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (- (log (+ 1 x)) (log x))))
#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))))
#s(approx (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) #s(hole binary64 (log x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -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)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) n))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) #s(hole binary64 (+ (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))))))
#s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) #s(hole binary64 (+ (log (+ 1 x)) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))))
#s(approx (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (* -1 (/ (- (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) (* -1/2 (/ (pow (log x) 2) n))) n))))
#s(approx (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (* -1 (/ (- (* -1/2 (pow (log (+ 1 x)) 2)) (* -1/2 (pow (log x) 2))) n))) (log x))))

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

eval101.0ms (0.4%)

Memory: -22.6MiB live, 66.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 46 135 to 4 634 computations (90% saved)

prune40.0ms (0.2%)

Memory

-17.7MiB live, 38.5MiB allocated; 6ms collecting garbage

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	646	22	668
Fresh	6	7	13
Picked	4	1	5
Done	0	0	0
Total	656	30	686

Accuracy

99.8%

Counts

686 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))))
	18.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	30.2%	(-.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)))
	25.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
▶	27.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	34.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 x)) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
▶	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	62.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n (log1p.f64 x))) n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
	61.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) n))
	27.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	36.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
▶	68.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	47.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))))) (log.f64 x)) n)))
	55.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (.f64 n n))) n)))
	48.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (pow.f64 n #s(literal 3 binary64))))))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
	36.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n x))))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))

Compiler

Compiled 2 363 to 1 427 computations (39.6% saved)

series180.0ms (0.8%)

Memory

6.8MiB live, 98.6MiB allocated; 7ms collecting garbage

Counts

62 → 465

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (* -1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) #s(hole binary64 (- (/ x n) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ (log x) n)))))
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#s(approx n #s(hole binary64 n))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (+ (/ x n) 1) #s(hole binary64 (/ (+ n x) n)))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
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#s(approx (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) #s(hole binary64 (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))))
#s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2))))
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#s(approx (* (pow n -2) 1/2) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n))))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
32.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
25.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
24.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
24.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))

rewrite276.0ms (1.2%)

Memory

31.6MiB live, 124.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2756	36916
0	2854	36029
0	10402	34802

Stop Event

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

Counts

527 → 584

Calls

Call 1

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

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

eval124.0ms (0.5%)

Memory: -5.7MiB live, 82.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 66 911 to 6 104 computations (90.9% saved)

prune39.0ms (0.2%)

Memory

-5.5MiB live, 42.2MiB allocated; 1ms collecting garbage

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	727	8	735
Fresh	2	22	24
Picked	2	3	5
Done	0	1	1
Total	731	34	765

Accuracy

99.9%

Counts

765 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))))
	18.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	30.2%	(-.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)))
▶	10.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	25.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
✓	27.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 x)) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 #s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) (log.f64 x)) n))
	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
▶	61.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	36.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
▶	27.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
	50.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) (log.f64 x)) n)))
	47.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))))) (log.f64 x)) n)))
	55.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (.f64 n n))) n)))
	48.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (pow.f64 n #s(literal 3 binary64))))))
▶	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
	36.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n x))))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
	30.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (.f64 x x))))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 n n)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 2 954 to 1 766 computations (40.2% saved)

series186.0ms (0.8%)

Memory

-0.1MiB live, 100.5MiB allocated; 9ms collecting garbage

Counts

43 → 284

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ 1 (/ x n)) #s(hole binary64 1))
#s(approx (+ 1 (/ x n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (/ x n) #s(hole binary64 (/ x n)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (+ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (neg (* -1 (/ (log x) n))))) n)) (pow x 2))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (+ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (neg (* -1 (/ (log x) n))))) n)) x)))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ -1/2 (* n x))))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ (- (/ x n) (* 1/2 (/ 1 n))) x)))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 (/ (- x 1/2) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (log x) n)))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (/ x n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (* 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))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (/ (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))) (pow n 2))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (/ x n)) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (* 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)))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* n x)) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))) (* 1/2 (pow (log x) 2)))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (* -1 (* n (log x)))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (* n x))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (* -1/2 n))))))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2))))))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* n (- (log (+ 1 x)) (log x))) #s(hole binary64 (* -1 (* n (log x)))))
#s(approx (* n (- (log (+ 1 x)) (log x))) #s(hole binary64 (+ (* -1 (* n (log x))) (* n x))))
#s(approx (* n (- (log (+ 1 x)) (log x))) #s(hole binary64 (+ (* -1 (* n (log x))) (* x (+ n (* -1/2 (* n x)))))))
#s(approx (* n (- (log (+ 1 x)) (log x))) #s(hole binary64 (+ (* -1 (* n (log x))) (* x (+ n (* x (+ (* -1/2 n) (* 1/3 (* n x)))))))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- x (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- (* x (+ 1 (* -1/2 x))) (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))))
#s(approx (* 1/2 (pow (log x) 2)) #s(hole binary64 (* 1/2 (pow (log x) 2))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (log x) 2)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 1))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))))
#s(approx (+ 1 (/ x n)) #s(hole binary64 (/ x n)))
#s(approx (+ 1 (/ x n)) #s(hole binary64 (* x (+ (/ 1 n) (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (+ (/ (exp (neg (/ (log (/ 1 x)) n))) n) (/ (* (exp (neg (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (+ (/ (exp (neg (/ (log (/ 1 x)) n))) n) (/ (* (exp (neg (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ 1 n)))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (- (/ 1 n) (* 1/2 (/ 1 (* n x))))))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 1))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 (- 1 (* 1/2 (/ 1 x)))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (/ (log (/ 1 x)) n)))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (/ (log (/ 1 x)) n)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))))
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#s(approx (* 1/2 (pow (log x) 2)) #s(hole binary64 (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx n #s(hole binary64 n))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (+ 1 (/ x n)) #s(hole binary64 (/ (+ n x) n)))
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#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n)))
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#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (pow n 2))))
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#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (pow n 2))))
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#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (* 1/2 (pow (log (+ 1 x)) 2))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x))))))
#s(approx (* n (- (log (+ 1 x)) (log x))) #s(hole binary64 (* n (- (log (+ 1 x)) (log x)))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n)))
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n))))))) (* 1/2 (/ 1 x))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n)))))))))) (* 1/2 (/ 1 x))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (* n (- (log (+ 1 x)) (log x)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (* n (- (log (+ 1 x)) (log x)))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (log x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))))
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -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))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
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#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (* -1 (/ (- (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) (* -1/2 (/ (pow (log x) 2) n))) n))))
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#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (* -1 (* n (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n)))))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) #s(hole binary64 (* -1 (* n (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n)))))))

Calls

6 calls:

Time	Variable		Point	Expression
77.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (pow x -1))) n) (- 1 (* 1/2 (pow x -1))) (* 1/2 (pow x -1)) 1/2 (pow x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (pow (log (+ 1 x)) 2) (log (+ 1 x)) 2 (* n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (* 1/2 (pow (log x) 2)) (pow (log x) 2) (* n n))
29.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (pow x -1))) n) (- 1 (* 1/2 (pow x -1))) (* 1/2 (pow x -1)) 1/2 (pow x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (pow (log (+ 1 x)) 2) (log (+ 1 x)) 2 (* n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (* 1/2 (pow (log x) 2)) (pow (log x) 2) (* n n))
28.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (pow x -1))) n) (- 1 (* 1/2 (pow x -1))) (* 1/2 (pow x -1)) 1/2 (pow x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (pow (log (+ 1 x)) 2) (log (+ 1 x)) 2 (* n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (* 1/2 (pow (log x) 2)) (pow (log x) 2) (* n n))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (pow x -1))) n) (- 1 (* 1/2 (pow x -1))) (* 1/2 (pow x -1)) 1/2 (pow x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (pow (log (+ 1 x)) 2) (log (+ 1 x)) 2 (* n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (* 1/2 (pow (log x) 2)) (pow (log x) 2) (* n n))
16.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (pow x -1))) n) (- 1 (* 1/2 (pow x -1))) (* 1/2 (pow x -1)) 1/2 (pow x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (pow (log (+ 1 x)) 2) (log (+ 1 x)) 2 (* n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (* 1/2 (pow (log x) 2)) (pow (log x) 2) (* n n))

rewrite154.0ms (0.7%)

Memory

19.9MiB live, 64.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1382	11522
0	1433	10329
0	8421	10087

Stop Event

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

Counts

327 → 396

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
(/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x)
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(log.f64 x)
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
#s(literal 2 binary64)
(*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(*.f64 n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ 1 (/ x n)) #s(hole binary64 1))
#s(approx (+ 1 (/ x n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (/ x n) #s(hole binary64 (/ x n)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (/ (+ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (neg (* -1 (/ (log x) n))))) n)) (pow x 2))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (/ (+ (* (exp (neg (* -1 (/ (log x) n)))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (neg (* -1 (/ (log x) n))))) n)) x)))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ -1/2 (* n x))))
#s(approx (/ (- 1 (* 1/2 (pow x -1))) n) #s(hole binary64 (/ (- (/ x n) (* 1/2 (/ 1 n))) x)))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1 (* 1/2 (pow x -1))) #s(hole binary64 (/ (- x 1/2) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (log x) n)))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (/ x n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(hole binary64 (+ (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) (* 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))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (/ (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))) (pow n 2))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (/ x n)) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) #s(hole binary64 (- (+ (* -1 (/ (log x) n)) (* 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)))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* n x)) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))) (* 1/2 (pow (log x) 2)))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) #s(hole binary64 (- (+ (* -1 (* n (log x))) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))) (* 1/2 (pow (log x) 2)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n)) (* 1/2 (/ 1 x))) 1) n))))
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
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Outputs
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(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x x))
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(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(/.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))) (.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))
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(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 (neg.f64 x) (neg.f64 n))
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#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
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#s(literal 1/2 binary64)
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(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (neg.f64 (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))
(-.f64 (cosh.f64 (neg.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))))
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(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
(neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (pow.f64 x #s(literal -1 binary64)))
(log.f64 x)
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)))
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(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 n n)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n n)))
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(fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x)))) n))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 n #s(literal 3 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (.f64 n x))))) n))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log.f64 x) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log.f64 x) n)))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (/.f64 (-.f64 (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (.f64 n (-.f64 (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (.f64 n (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (*.f64 #s(literal 1 binary64) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (.f64 #s(literal 1 binary64) (log.f64 x))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x))) n) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 x x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x)))) n) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 x x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x)))) n) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) x))) n) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))) n) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))) n) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n x))) n) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)))
#s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))
#s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))))
#s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n)))))

eval50.0ms (0.2%)

Memory: -7.8MiB live, 38.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 26 747 to 2 464 computations (90.8% saved)

prune103.0ms (0.4%)

Memory

-18.3MiB live, 41.5MiB allocated; 63ms collecting garbage

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	413	21	434
Fresh	10	15	25
Picked	2	3	5
Done	0	4	4
Total	425	43	468

Accuracy

99.9%

Counts

468 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))))
	18.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	14.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) (/.f64 x n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	30.2%	(-.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)))
✓	10.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	25.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	3.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ 1 (/ x n)) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
✓	27.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x))) n))
	61.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	39.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
	36.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
	44.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) x)) n))
✓	61.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	50.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	36.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	36.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- 1 (* 1/2 (pow x -1))) #s(literal 1 binary64)) n)) x))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- 1 (* 1/2 (pow x -1))) n) (/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x))) x))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	27.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) (log.f64 x)) n)))
	47.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))))) (log.f64 x)) n)))
	55.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (.f64 n n))) n)))
	48.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (/.f64 (fma.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 (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 n (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (pow.f64 n #s(literal 3 binary64))))))
✓	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
	27.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 #s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (fma.f64 (neg.f64 n) (log.f64 x) (.f64 x (+.f64 n (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) n))))))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))))
	45.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 (-.f64 #s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (.f64 n (-.f64 (-.f64 (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n n))))
	37.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (fma.f64 (neg.f64 n) (log.f64 x) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (.f64 n n))))
	52.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 n n))))
	28.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (* n n)) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (.f64 n n) x)))))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
	42.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (pow.f64 n #s(literal -1 binary64))) x))))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 n n)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 5 055 to 1 662 computations (67.1% saved)

regimes71.0ms (0.3%)

Memory

-17.1MiB live, 32.9MiB allocated; 5ms collecting garbage

Counts

70 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	n
17.0ms	(/.f64 #s(literal 1 binary64) n)
17.0ms	x
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
87.4%	3	`(/.f64 #s(literal 1 binary64) n)`
87.0%	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)))`
86.1%	2	`x`
87.5%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes51.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Counts

66 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	x
16.0ms	n
16.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
87.2%	3	`(/.f64 #s(literal 1 binary64) n)`
87.2%	3	`n`
84.1%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes17.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.1%)

Memory

-38.2MiB live, 9.3MiB allocated; 1ms collecting garbage

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`n`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes26.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes43.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

44 → 4

Calls

Call 1

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

Calls

4 calls:

11.0ms	n
11.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	x
8.0ms	(-.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
74.3%	2	`x`
80.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
84.1%	4	`(/.f64 #s(literal 1 binary64) n)`
84.1%	5	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory

-39.9MiB live, 7.2MiB allocated; 1ms collecting garbage

Counts

40 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
83.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes28.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	n
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
79.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
73.2%	4	`n`
73.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes8.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

(-.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)))

Calls

1 calls:

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
79.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0%)

Memory

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

Counts

30 → 3

Calls

Call 1

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

Calls

1 calls:

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)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
79.1%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes22.0ms (0.1%)

Memory

-36.5MiB live, 12.7MiB allocated; 1ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	n
5.0ms	x
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
62.0%	6	`n`
64.2%	7	`(/.f64 #s(literal 1 binary64) n)`
65.3%	3	`x`
54.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.1%)

Memory

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

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.0%	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)))`
43.0%	1	`n`
44.7%	2	`(/.f64 #s(literal 1 binary64) n)`
45.8%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	x
3.0ms	n
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
43.0%	3	`n`
36.5%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
42.6%	2	`(/.f64 #s(literal 1 binary64) n)`
39.4%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
42.3%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes5.0ms (0%)

Memory

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

Accuracy

Total -16.3b remaining (-35.3%)

Threshold costs -16.3b (-35.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
27.9%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
27.9%	1	`x`
27.9%	1	`n`
27.9%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch42.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	2339080.170482062	43625811520857.23

Samples

13.0ms	38×	2	valid
13.0ms	72×	1	valid
3.0ms	34×	0	valid
2.0ms	26×	0	exit

Compiler

Compiled 979 to 598 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-pow: 16.0ms (62.8% of total)

adjust: 5.0ms (19.6% of total)

ival-div: 2.0ms (7.9% of total)

ival-add: 1.0ms (3.9% of total)

ival-sub: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch218.0ms (0.9%)

Memory

-36.1MiB live, 11.3MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
183.0ms	3.3173365708142865e-6	0.06247034102997165
31.0ms	-607771625.9701524	-12500610.366804542

Samples

182.0ms	103×	1	valid
11.0ms	23×	2	valid
10.0ms	114×	0	valid

Compiler

Compiled 750 to 519 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-pow: 182.0ms (93.2% of total)

adjust: 6.0ms (3.1% of total)

ival-div: 3.0ms (1.5% of total)

ival-add: 2.0ms (1% of total)

ival-sub: 2.0ms (1% 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; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3173365708142865e-6	0.06247034102997165
1.0ms	-607771625.9701524	-12500610.366804542

Compiler

Compiled 736 to 512 computations (30.4% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3173365708142865e-6	0.06247034102997165
1.0ms	-607771625.9701524	-12500610.366804542

Compiler

Compiled 736 to 526 computations (28.5% saved)

bsearch2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3173365708142865e-6	0.06247034102997165
1.0ms	-607771625.9701524	-12500610.366804542

Compiler

Compiled 792 to 554 computations (30.1% saved)

bsearch36.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3173365708142865e-6	0.06247034102997165
33.0ms	-23804447547.2414	-607771625.9701524

Samples

19.0ms	93×	1	valid
9.0ms	19×	2	valid

Compiler

Compiled 638 to 470 computations (26.3% saved)

Precisions

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

ival-pow: 14.0ms (57.8% of total)

adjust: 5.0ms (20.7% of total)

ival-div: 2.0ms (8.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3546429171662774e+154	3.647884061638409e+159
0.0ms	16.007596301102726	301446.65114716894
0.0ms	-1.6453548623691589e-9	-4.2008956436205376e-11

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3546429171662774e+154	3.647884061638409e+159
0.0ms	16.007596301102726	301446.65114716894
0.0ms	-4.854844190454193e-34	-2.7445175050723376e-35

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1102230246251565e-16	1.0
0.0ms	-2.536774199590752e-7	-1.3322676295501878e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1102230246251565e-16	1.0
0.0ms	-2.536774199590752e-7	-1.3322676295501878e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1102230246251565e-16	1.0
0.0ms	-2.536774199590752e-7	-1.3322676295501878e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1102230246251565e-16	1.0
0.0ms	-2.536774199590752e-7	-1.3322676295501878e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1102230246251565e-16	1.0
0.0ms	-2.536774199590752e-7	-1.3322676295501878e-15

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch92.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	9.775665715877624e+171	4.350053682630168e+175
28.0ms	0.018380469753878304	3.3587902781386227

Samples

47.0ms	126×	2	valid
21.0ms	49×	1	valid
5.0ms	65×	0	valid
2.0ms	28×	0	exit

Compiler

Compiled 942 to 656 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-pow: 47.0ms (70.8% of total)

adjust: 10.0ms (15.1% of total)

ival-div: 4.0ms (6% of total)

ival-sub: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.775665715877624e+171	4.350053682630168e+175
18.0ms	0.018380469753878304	3.3587902781386227

Samples

7.0ms	21×	2	valid
5.0ms	30×	1	valid
3.0ms	29×	0	valid

Compiler

Compiled 956 to 670 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 8.0ms (65% of total)

adjust: 2.0ms (16.2% of total)

ival-div: 1.0ms (8.1% of total)

ival-sub: 1.0ms (8.1% 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.775665715877624e+171	4.350053682630168e+175

Compiler

Compiled 440 to 309 computations (29.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39732406.58712726	-10990615.225537723

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39732406.58712726	-10990615.225537723

Compiler

Compiled 14 to 14 computations (0% saved)

simplify63.0ms (0.3%)

Memory

-29.0MiB live, 17.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	221	1557
1	348	1545
2	546	1537
3	1060	1537
4	4137	1531

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2400000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)))
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (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)))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 2400000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)))
(if (<=.f64 x #s(literal 2400000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)))
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derivations407.0ms (1.7%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 549 to 218 computations (85.9% saved)

preprocess81.0ms (0.3%)

Memory: 6.5MiB live, 52.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 124 to 452 computations (85.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze286.0ms (1.2%)

sample19.3s (82.9%)

explain265.0ms (1.1%)

preprocess184.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series52.0ms (0.2%)

rewrite142.0ms (0.6%)

eval12.0ms (0.1%)

prune17.0ms (0.1%)

series179.0ms (0.8%)

rewrite237.0ms (1%)

eval101.0ms (0.4%)

prune40.0ms (0.2%)

series180.0ms (0.8%)

rewrite276.0ms (1.2%)

eval124.0ms (0.5%)

prune39.0ms (0.2%)

series186.0ms (0.8%)

rewrite154.0ms (0.7%)

eval50.0ms (0.2%)

prune103.0ms (0.4%)

regimes71.0ms (0.3%)

regimes51.0ms (0.2%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes17.0ms (0.1%)

regimes26.0ms (0.1%)

regimes43.0ms (0.2%)

regimes13.0ms (0.1%)

regimes28.0ms (0.1%)

regimes8.0ms (0%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes22.0ms (0.1%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes11.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch42.0ms (0.2%)

bsearch218.0ms (0.9%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch36.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch92.0ms (0.4%)

bsearch21.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify63.0ms (0.3%)

derivations407.0ms (1.7%)

preprocess81.0ms (0.3%)

end0.0ms (0%)

Profiling