Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze214.0ms (0.8%)

Memory

16.8MiB live, 252.0MiB allocated; 35ms 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)

sample20.8s (75.2%)

Memory

121.3MiB live, 16 394.9MiB allocated; 4.7s collecting garbage

Samples

15.7s	7 177×	5	exit
1.9s	2 862×	2	valid
1.4s	2 863×	1	valid
249.0ms	2 531×	0	valid
179.0ms	1 541×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 18.4s

ival-pow: 15.5s (84.2% of total)

adjust: 1.6s (8.7% of total)

ival-div: 595.0ms (3.2% of total)

ival-sub: 350.0ms (1.9% of total)

ival-add: 322.0ms (1.8% of total)

exact: 23.0ms (0.1% of total)

ival-assert: 9.0ms (0% of total)

Bogosity

explain324.0ms (1.2%)

Memory

-11.8MiB live, 426.7MiB allocated; 54ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
105	1	(5.383678221678766e+206 9.25327208620711e+115)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
49	36	(3.571896896643311e-295 6.027777037350128e-164)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	104	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	85	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	2	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	28
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	36

Confusion

	Predicted +	Predicted -
+	135	0
-	56	65

Precision

0.7068062827225131

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	56	0	65

Precision?

0.7068062827225131

Recall?

1.0

Freqs

test

number	freq
0	65
1	191

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

134.0ms	250×	1	valid
100.0ms	194×	2	valid
6.0ms	68×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-pow: 141.0ms (74.7% of total)

adjust: 26.0ms (13.8% of total)

ival-div: 9.0ms (4.8% of total)

ival-add: 6.0ms (3.2% of total)

ival-sub: 6.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess222.0ms (0.8%)

Memory

19.8MiB live, 249.8MiB allocated; 56ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series70.0ms (0.3%)

Memory

-30.2MiB live, 104.5MiB allocated; 24ms 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
28.0ms	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)))
19.0ms	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)))
13.0ms	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	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)))
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)))

rewrite164.0ms (0.6%)

Memory

28.3MiB live, 169.0MiB allocated; 37ms 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 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 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 (+.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 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 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 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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(-.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 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(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 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
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(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.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))))
(pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) 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)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) 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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)))))) (.f64 (neg.f64 (*.f64 n x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64))))) (.f64 (.f64 x x) x))))))) (.f64 (neg.f64 (.f64 n x)) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x)))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (pow x (/ 1 n)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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))) (.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x))) #s(literal -1 binary64) (.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) x))) #s(literal -1 binary64) (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))) x) #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (/.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64)))) x))) #s(literal -1 binary64) (.f64 (-.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))) x) #s(literal -1 binary64)) (neg.f64 x) (.f64 x (neg.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))) (.f64 x (neg.f64 x))) #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (exp.f64 (/.f64 (log.f64 #s(literal -1 binary64)) n)) (exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) n)) (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x))) #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) #s(literal -1 binary64))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) x))) #s(literal -1 binary64) (.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (fma.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))) x) #s(literal -1 binary64) (.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) #s(literal -1 binary64))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) (neg.f64 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))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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 (+.f64 (log1p.f64 x) (/.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 n n) n))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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)))) (+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 x) (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 n n) n))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 n n) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 (log1p.f64 x) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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(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 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 n n) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 (log.f64 x) n)))
#s(approx (pow x (/ 1 n)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 n)) (.f64 n (log.f64 x))) (*.f64 n (neg.f64 n))) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) n) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) n)) #s(literal -1 binary64) (.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) (log.f64 x)) n) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/24 binary64)) n) (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/24 binary64)) n)) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) n) #s(literal -1 binary64) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n) #s(literal -1 binary64)))
#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) (*.f64 (log1p.f64 x) #s(literal -1 binary64))) 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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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) (.f64 (log1p.f64 x) #s(literal -1 binary64))) 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) (*.f64 #s(literal -1 binary64) (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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 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) (.f64 #s(literal -1 binary64) (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))

eval17.0ms (0.1%)

Memory: -19.9MiB live, 26.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 761 to 535 computations (85.8% saved)

prune17.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	6	115

Accuracy

99.6%

Counts

115 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)) n)) x))
▶	9.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64))))) (.f64 (.f64 x x) x))))))) (.f64 (neg.f64 (.f64 n x)) x)))
▶	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)))
▶	53.5%	#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)) n) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n)))
▶	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 n)) (.f64 n (log.f64 x))) (*.f64 n (neg.f64 n))) #s(literal -1 binary64)))

Compiler

Compiled 666 to 326 computations (51.1% saved)

series506.0ms (1.8%)

Memory

-18.1MiB live, 614.4MiB allocated; 220ms collecting garbage

Counts

82 → 564

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
137.0ms	x	@	0	((- (exp (* (log (+ 1 x)) (pow n -1))) (pow x (/ 1 n))) (exp (* (log (+ 1 x)) (pow n -1))) (* (log (+ 1 x)) (pow n -1)) (log (+ 1 x)) x (pow n -1) n -1 (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) -1) (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 1/2 (* (/ (pow (log x) 2) n) 1/2) (/ (pow (log x) 2) n) (pow (log x) 2) (log x) (* (log (+ 1 x)) -1) (neg n) (* n (log x)) (* n (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) n)) (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (pow (exp -1) (/ (* -1 (log x)) n)) (exp -1) (/ (* -1 (log x)) n) (* -1 (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (* (neg (* n x)) x)) (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (neg (pow (exp -1) (/ (* -1 (log x)) n))) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x)))))) (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x)) (/ (* (pow (* n n) -1) 1/2) x) (* (pow (* n n) -1) 1/2) (pow (* n n) -1) (* n n) (/ (* 1/2 (pow n -1)) x) (* 1/2 (pow n -1)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x)))) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x)) (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) 1/3 (* (pow (* (* n n) n) -1) 1/6) (pow (* (* n n) n) -1) (* (* n n) n) 1/6 (* x x) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x)) (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) 11/24 (* (pow (pow (* n n) 2) -1) 1/24) (pow (pow (* n n) 2) -1) (pow (* n n) 2) 1/24 (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1))) 1/4 (* 1/4 (pow n -1)) (* (* x x) x) (* (neg (* n x)) x))
101.0ms	n	@	inf	((- (exp (* (log (+ 1 x)) (pow n -1))) (pow x (/ 1 n))) (exp (* (log (+ 1 x)) (pow n -1))) (* (log (+ 1 x)) (pow n -1)) (log (+ 1 x)) x (pow n -1) n -1 (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) -1) (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 1/2 (* (/ (pow (log x) 2) n) 1/2) (/ (pow (log x) 2) n) (pow (log x) 2) (log x) (* (log (+ 1 x)) -1) (neg n) (* n (log x)) (* n (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) n)) (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (/ (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) n) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (pow (exp -1) (/ (* -1 (log x)) n)) (exp -1) (/ (* -1 (log x)) n) (* -1 (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 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71.0ms	x	@	inf	((- (exp (* (log (+ 1 x)) (pow n -1))) (pow x (/ 1 n))) (exp (* (log (+ 1 x)) (pow n -1))) (* (log (+ 1 x)) (pow n -1)) (log (+ 1 x)) x (pow n -1) n -1 (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) -1) (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (/ 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57.0ms	x	@	-inf	((- (exp (* (log (+ 1 x)) (pow n -1))) (pow x (/ 1 n))) (exp (* (log (+ 1 x)) (pow n -1))) (* (log (+ 1 x)) (pow n -1)) (log (+ 1 x)) x (pow n -1) n -1 (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) -1) (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (/ 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52.0ms	n	@	0	((- (exp (* (log (+ 1 x)) (pow n -1))) (pow x (/ 1 n))) (exp (* (log (+ 1 x)) (pow n -1))) (* (log (+ 1 x)) (pow n -1)) (log (+ 1 x)) x (pow n -1) n -1 (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) -1) (/ (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (- (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (/ 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rewrite390.0ms (1.4%)

Memory

-11.8MiB live, 361.6MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2906	44466
0	3071	39806
0	10441	38699

Stop Event

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

Counts

646 → 738

Calls

Call 1

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

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

eval218.0ms (0.8%)

Memory: 57.4MiB live, 281.5MiB allocated; 41ms collecting garbage
Compiler: Compiled 139 720 to 7 744 computations (94.5% saved)

prune127.0ms (0.5%)

Memory

-19.9MiB live, 173.7MiB allocated; 15ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 203	5	1 208
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 205	9	1 214

Accuracy

99.9%

Counts

1 214 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	9.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64))))) (.f64 (.f64 x x) x))))))) (.f64 (neg.f64 (.f64 n x)) x)))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)))
▶	42.6%	#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 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (log.f64 x))))) n)))
✓	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 n)) (.f64 n (log.f64 x))) (*.f64 n (neg.f64 n))) #s(literal -1 binary64)))
▶	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (/ (- ( (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) n) (.f64 n x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) (.f64 n (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 n n))))) (+.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 n (.f64 x x)) #s(literal -1 binary64))))) x)) #s(literal -1 binary64)))
▶	61.8%	#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))) n) (/.f64 (.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))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
▶	52.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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))))
▶	12.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (* (neg (* n x)) x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (.f64 n (fma.f64 #s(literal -1 binary64) (.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x))))) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 11/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x))))))))))) (pow.f64 n #s(literal 4 binary64)))))

Compiler

Compiled 1 474 to 656 computations (55.5% saved)

series584.0ms (2.1%)

Memory

16.1MiB live, 615.0MiB allocated; 130ms collecting garbage

Counts

124 → 1 105

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
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94.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (- (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (/ (* 1/24 (pow (log x) 4)) n))) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (- (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (/ (* 1/24 (pow (log x) 4)) n))) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n) (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (- (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (/ (* 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))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (- (/ (* 1/24 (pow (log (+ 1 x)) 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rewrite563.0ms (2%)

Memory

18.0MiB live, 675.5MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5700	118193
0	5965	112701
0	8369	109165

Stop Event

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

Counts

1 229 → 1 313

Calls

Call 1

Inputs
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#s(approx (+ (* -1/2 (/ (exp (/ (log x) n)) (* (* x x) x))) (+ (* 11/24 (/ (exp (/ (log x) n)) (pow x 4))) (* 1/2 (/ (exp (/ (log x) n)) (* x x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* -11/144 (/ (pow (log x) 3) (pow x 4))) (* 1/12 (/ (pow (log x) 3) (pow x 3))))) n)) (+ (* -1/4 (/ (pow (log x) 2) (pow x 3))) (+ (* 11/48 (/ (pow (log x) 2) (pow x 4))) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -11/24 (/ (log x) (pow x 4))) (* 1/2 (/ (log x) (pow x 3)))))) n)) (+ (* 11/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 3))))))
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Outputs
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#s(literal -1 binary64)
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(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 (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)) n)))
#s(approx (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (.f64 n x)) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)) n))))
#s(approx (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (.f64 n x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) n) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) n))) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)) n)))))
#s(approx (/ (* 1/24 (pow (log (+ 1 x)) 4)) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (.f64 n x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) n) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64))) n))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) n) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) n))) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)) n))))))
#s(approx (* 1/24 (pow (log (+ 1 x)) 4)) (.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))
#s(approx (* 1/24 (pow (log (+ 1 x)) 4)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)))))
#s(approx (* 1/24 (pow (log (+ 1 x)) 4)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))))
#s(approx (* 1/24 (pow (log (+ 1 x)) 4)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64))))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)))))))
#s(approx (pow (log (+ 1 x)) 4) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)))
#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))
#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))))
#s(approx (pow (log (+ 1 x)) 4) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 (.f64 x x) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))))))
#s(approx (/ (* 1/24 (pow (log x) 4)) n) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)) n)))
#s(approx (* 1/24 (pow (log x) 4)) (.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64))))
#s(approx (pow (log x) 4) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 4 binary64)))
#s(approx (log x) (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))) x) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))) x) (.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64))))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))))) (.f64 (.f64 x x) x))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))) x) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)))))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x)))))))
#s(approx (pow (log (+ 1 x)) 3) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x x))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x)))) (.f64 x x))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64))) (.f64 (.f64 x x) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)) x)))))))))))
#s(approx (* -1/6 (pow (log x) 3)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64))))
#s(approx (pow (log x) 3) (.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 3 binary64))))
#s(approx (* 1/2 (pow (log (+ 1 x)) 2)) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
#s(approx (* 1/2 (pow (log (+ 1 x)) 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (pow (log (+ 1 x)) 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))))
#s(approx (* 1/2 (pow (log (+ 1 x)) 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))))))
#s(approx (pow (log (+ 1 x)) 2) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (+.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x x)) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))))
#s(approx (pow (log (+ 1 x)) 2) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) x) (fma.f64 #s(literal -2/3 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 (.f64 x x) x)) (+.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x x)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))))) (pow.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))))
#s(approx (* 1/2 (pow (log x) 2)) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
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#s(approx (pow (log (+ 1 x)) 4) (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 4 binary64)))
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#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (+.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 (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 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)))))) (.f64 (+.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 4 binary64) (.f64 (+.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) (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 4 binary64))))
#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (+.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 (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 -4 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 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 (+.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 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)))))) (.f64 (+.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 4 binary64) (.f64 (+.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) (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 4 binary64))))
#s(approx (/ (* 1/24 (pow (log x) 4)) n) (*.f64 #s(literal 1/24 binary64) (/.f64 (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 4 binary64)) n)))
#s(approx (* 1/24 (pow (log x) 4)) (*.f64 #s(literal 1/24 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 4 binary64))))
#s(approx (pow (log x) 4) (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 4 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 (* -1/6 (pow (log (+ 1 x)) 3)) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (+.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 (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 (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)))) (+.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 (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))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (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)))) (+.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 (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 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.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))))) (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))) x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.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))))) (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) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (+.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 (+.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) (.f64 (+.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 binary64) (.f64 (+.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 -1/6 binary64) (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 (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 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 -1/2 binary64) (.f64 (+.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))))) (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) (.f64 (+.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 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (+.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 (+.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) (.f64 (+.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))))) (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) (.f64 (+.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 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
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#s(approx (pow (log x) 3) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
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#s(approx (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (.f64 n n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64))) n)) (.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64))) n))) (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) x))) (pow.f64 n #s(literal -1 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.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 n n)) (/.f64 (log.f64 #s(literal -1 binary64)) n)))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.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))))) n)))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.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))))) n))))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.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))))) n))))))
#s(approx (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/3 binary64)) x) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.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))))) n))))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (/.f64 (*.f64 (+.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))))) n))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (+.f64 (.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)))) (.f64 n x))) (/.f64 (*.f64 (+.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))))) n)))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64))) x))) x) (/.f64 (.f64 (+.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))))) n)))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) n) (pow.f64 n #s(literal -1 binary64))) x) (pow.f64 n #s(literal -1 binary64)))) x))) x) (/.f64 (.f64 (+.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))))) n)))
#s(approx (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (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 6 binary64)) (.f64 (.f64 n n) n)) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))) (.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (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 4 binary64)) (.f64 n n)) (.f64 (+.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 1/2 binary64) (/.f64 (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) n))))))
#s(approx (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (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 6 binary64)) (.f64 (.f64 n n) n)) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (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 4 binary64)) (.f64 n n)) (.f64 (+.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 1/2 binary64) (/.f64 (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) n)))))
#s(approx (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (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 6 binary64)) (.f64 (.f64 n n) n)) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (* (/ (pow (log x) 2) n) 1/2) 3) (.f64 #s(literal 1/8 binary64) (/.f64 (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 6 binary64)) (.f64 (*.f64 n n) n))))
#s(approx (* (/ (pow (log x) 2) n) 1/2) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.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))))) n)))
#s(approx (/ (pow (log x) 2) n) (/.f64 (*.f64 (+.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))))) n))
#s(approx (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (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 4 binary64)) (.f64 n n)) (.f64 (+.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 1/2 binary64) (/.f64 (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) n))))
#s(approx (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))) (-.f64 (.f64 (+.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 1/2 binary64) (/.f64 (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) n))))
#s(approx (* (* (/ (pow (log x) 2) n) 1/2) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #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))))
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#s(approx (- (+ (* -1/2 (/ (/ (+ 1 (* -1 (log x))) n) (* n x))) (+ (* -1/2 (/ (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (* n (* x x)))) (+ (/ 1/2 (* n x)) (/ (* -1 (log x)) (* n n))))) (+ (pow n -1) (* 1/3 (pow (* n (* x x)) -1)))) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))) n) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (+ (* -1/2 (/ (/ (+ 1 (* -1 (log x))) n) (* n x))) (+ (* -1/2 (/ (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (* n (* x x)))) (+ (/ 1/2 (* n x)) (/ (* -1 (log x)) (* n n))))) (+ (pow n -1) (* 1/3 (pow (* n (* x x)) -1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (log.f64 x))) (.f64 x x))))) n) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (+ (* -1/2 (/ (/ (+ 1 (* -1 (log x))) n) (* n x))) (+ (* -1/2 (/ (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (* n (* x x)))) (+ (/ 1/2 (* n x)) (/ (* -1 (log x)) (* n n))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (log.f64 x))) (.f64 x x))))) n)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (+ (* -1/2 (/ (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (* n (* x x)))) (+ (/ 1/2 (* n x)) (/ (* -1 (log x)) (* n n)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (log.f64 x))) (.f64 x x)))) n)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)))
#s(approx (/ (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (* n (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (log.f64 x))) (pow.f64 (*.f64 n x) #s(literal 2 binary64)))))
#s(approx (- (* -2/3 (/ (* -1 (log x)) n)) (pow n -1)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (log.f64 x))) n)))
#s(approx (+ (/ 1/2 (* n x)) (/ (* -1 (log x)) (* n n))) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 (log.f64 x) n) n) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n)) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (log1p.f64 x)) n) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
#s(approx (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) 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))) n) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) 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 -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 #s(literal 1/4 binary64) (/.f64 (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))))) n) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) 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 -1/2 binary64) (/.f64 (.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 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))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (/ (+ (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (log (+ 1 x))) n) (.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 (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (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 (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))
#s(approx (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))))
#s(approx (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (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))))
#s(approx (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x)))) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) n) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))

eval563.0ms (2%)

Memory: -23.5MiB live, 605.8MiB allocated; 269ms collecting garbage
Compiler: Compiled 411 801 to 18 334 computations (95.5% saved)

prune278.0ms (1%)

Memory

8.0MiB live, 292.2MiB allocated; 21ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2 076	3	2 079
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	2 079	9	2 088

Accuracy

99.9%

Counts

2 088 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	9.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64))))) (.f64 (.f64 x x) x))))))) (.f64 (neg.f64 (.f64 n x)) x)))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)))
▶	40.9%	#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) #s(approx (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (.f64 (.f64 n n) n)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))))
✓	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 n)) (.f64 n (log.f64 x))) (*.f64 n (neg.f64 n))) #s(literal -1 binary64)))
✓	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (/ (- ( (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) n) (.f64 n x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) (.f64 n (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 n n))))) (+.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 n (.f64 x x)) #s(literal -1 binary64))))) x)) #s(literal -1 binary64)))
▶	61.9%	#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))) n) (/.f64 (.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))) n) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
✓	52.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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))))
▶	12.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (* (neg (* n x)) x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (.f64 n (fma.f64 #s(literal -1 binary64) #s(approx (* n (+ (* -1 (/ (exp (/ (log x) n)) x)) (* -1 (/ (+ (* -1/2 (/ (exp (/ (log x) n)) x)) (+ (* -1/4 (/ (exp (/ (log x) n)) (* (* x x) x))) (* 1/3 (/ (exp (/ (log x) n)) (* x x))))) x)))) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 11/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))))))))) (pow.f64 n #s(literal 4 binary64)))))

Compiler

Compiled 974 to 436 computations (55.2% saved)

series435.0ms (1.6%)

Memory

-8.8MiB live, 426.2MiB allocated; 86ms collecting garbage

Counts

100 → 952

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
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rewrite576.0ms (2.1%)

Memory

25.8MiB live, 675.1MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5198	109957
0	5397	104472
0	9003	100149

Stop Event

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

Counts

1 052 → 1 141

Calls

Call 1

Inputs
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#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
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Outputs
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#s(approx (pow (log (+ 1 x)) 4) (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 4 binary64)))
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#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (+.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 (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 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)))))) (.f64 (+.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 4 binary64) (.f64 (+.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) (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 4 binary64))))
#s(approx (pow (log (+ 1 x)) 4) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (+.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 (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 -4 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 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 (+.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 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)))))) (.f64 (+.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 4 binary64) (.f64 (+.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) (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 4 binary64))))
#s(approx (/ (* 1/24 (pow (log x) 4)) n) (*.f64 #s(literal 1/24 binary64) (/.f64 (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 4 binary64)) n)))
#s(approx (* 1/24 (pow (log x) 4)) (*.f64 #s(literal 1/24 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 4 binary64))))
#s(approx (pow (log x) 4) (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 4 binary64)))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (+.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 (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 (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)))) (+.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 (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))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (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)))) (+.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 (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 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.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))))) (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))) x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (* -1/6 (pow (log (+ 1 x)) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (+.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))))) (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) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (+.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 (+.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) (.f64 (+.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 binary64) (.f64 (+.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 -1/6 binary64) (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 (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 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 -1/2 binary64) (.f64 (+.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))))) (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) (.f64 (+.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 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (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)))) (+.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 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (+.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 (+.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) (.f64 (+.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))))) (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) (.f64 (+.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 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (* -1/6 (pow (log x) 3)) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (pow (log x) 3) (.f64 (.f64 (+.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 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
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#s(approx (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (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 (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))
#s(approx (/ (+ (* 1/8 (/ (pow (log x) 6) (* (* n n) n))) (pow (log x) 3)) (* n (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n))))) (.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 (/ (+ (* 1/8 (/ (pow (log x) 6) (* (* n n) n))) (pow (log x) 3)) (* n (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n))))) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (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 (/ (+ (* 1/8 (/ (pow (log x) 6) (* (* n n) n))) (pow (log x) 3)) (* n (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n))))) (.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 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))
#s(approx (* n (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n)))) (.f64 #s(literal -1 binary64) (.f64 n (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))
#s(approx (* n (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n)))) (.f64 #s(literal -1 binary64) (.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n))) n) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (+ (* 1/4 (/ (pow (log x) 4) (* n n))) (pow (log x) 2)) (* 1/2 (/ (pow (log x) 3) n))) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) n) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))

eval739.0ms (2.7%)

Memory: -92.6MiB live, 570.3MiB allocated; 1.0s collecting garbage
Compiler: Compiled 461 610 to 17 435 computations (96.2% saved)

prune255.0ms (0.9%)

Memory

-20.5MiB live, 317.3MiB allocated; 51ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 781	1	1 782
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	1 781	10	1 791

Accuracy

99.9%

Counts

1 791 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	9.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x (.f64 (neg.f64 (.f64 n x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) x)) (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (.f64 n n) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 (.f64 n n) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 n n) n) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64))))) (.f64 (.f64 x x) x))))))) (.f64 (neg.f64 (.f64 n x)) x)))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x)))
✓	40.9%	#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) #s(approx (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (.f64 (.f64 n n) n)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))))
	41.0%	#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) #s(approx (/ (/ (+ (pow (* (/ (pow (log x) 2) n) 1/2) 3) (pow (log x) 3)) (+ (* (* (/ (pow (log x) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) (- (pow (log x) 2) (* (* (/ (pow (log x) 2) n) 1/2) (log x))))) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (.f64 (.f64 n n) n)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))) (.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))))
✓	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 n)) (.f64 n (log.f64 x))) (*.f64 n (neg.f64 n))) #s(literal -1 binary64)))
✓	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (/ (- ( (+ (* (- (* (/ (pow (log (+ 1 x)) 2) n) 1/2) (* (/ (pow (log x) 2) n) 1/2)) -1) (* (log (+ 1 x)) -1)) (neg n)) (* n (log x))) (* n (neg n))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 x))) n) (.f64 n x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) (.f64 n (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 n n))))) (+.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 n (.f64 x x)) #s(literal -1 binary64))))) x)) #s(literal -1 binary64)))
✓	61.9%	#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))) n) (/.f64 (.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))) n) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
✓	52.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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))))
✓	12.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (* (neg (* n x)) x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (.f64 n (fma.f64 #s(literal -1 binary64) #s(approx (* n (+ (* -1 (/ (exp (/ (log x) n)) x)) (* -1 (/ (+ (* -1/2 (/ (exp (/ (log x) n)) x)) (+ (* -1/4 (/ (exp (/ (log x) n)) (* (* x x) x))) (* 1/3 (/ (exp (/ (log x) n)) (* x x))))) x)))) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 11/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))))))))) (pow.f64 n #s(literal 4 binary64)))))

Compiler

Compiled 2 745 to 830 computations (69.8% saved)

regimes21.0ms (0.1%)

Memory

-19.2MiB live, 27.3MiB allocated; 2ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	x
5.0ms	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
86.9%	3	`(/.f64 #s(literal 1 binary64) n)`
85.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
80.6%	3	`x`
86.9%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes17.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	x
4.0ms	n
4.0ms	(/.f64 #s(literal 1 binary64) 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
75.4%	2	`x`
75.6%	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)))`
78.2%	3	`(/.f64 #s(literal 1 binary64) n)`
78.2%	4	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes14.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	x
3.0ms	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
72.3%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
73.3%	3	`n`
67.3%	3	`x`
73.3%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0%)

Memory

-32.6MiB live, 12.9MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`n`
52.0%	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)))`
52.0%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
12.8%	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)))`
12.8%	1	`(/.f64 #s(literal 1 binary64) n)`
12.8%	1	`x`
12.8%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch95.0ms (0.3%)

Memory

-4.9MiB live, 84.9MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	1.8591236443786464e-5	182920.64501751648
43.0ms	-397920.939209885	-5.302541290706543e-9

Samples

31.0ms	57×	2	valid
27.0ms	76×	1	valid
16.0ms	187×	0	valid

Compiler

Compiled 1 916 to 1 193 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 33.0ms (51.6% of total)

adjust: 19.0ms (29.7% of total)

ival-add: 6.0ms (9.4% of total)

ival-div: 4.0ms (6.2% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4876634912783598e-33	7.181300900306063e-17
0.0ms	-188588819.05410942	-2.5130620217815326e-6

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4876634912783598e-33	7.181300900306063e-17

Compiler

Compiled 14 to 14 computations (0% saved)

simplify68.0ms (0.2%)

Memory

17.9MiB live, 61.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	787
1	368	767
2	1283	728
3	7886	728

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 n #s(literal -110000 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (if (<=.f64 n #s(literal 122000 binary64)) (-.f64 (exp.f64 (.f64 (log1p.f64 x) (pow.f64 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(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))) n) (/.f64 (.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))) n) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ ( -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ ( -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (neg (pow (exp -1) (/ (* -1 (log x)) n))) x) (* (neg (* n x)) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (- (/ (* (pow (* n n) -1) 1/2) x) (/ (* 1/2 (pow n -1)) x))) (+ (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 1/3 (pow n -1)) (* (pow (* (* n n) n) -1) 1/6)) (* (pow (* n n) -1) 1/2)) (* x x))) (* (pow (exp -1) (/ (* -1 (log x)) n)) (/ (- (+ (* 11/24 (pow (* n n) -1)) (* (pow (pow (* n n) 2) -1) 1/24)) (+ (* 1/4 (pow (* (* n n) n) -1)) (* 1/4 (pow n -1)))) (* (* x x) x))))))) (* (neg (* n x)) x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (.f64 n (fma.f64 #s(literal -1 binary64) #s(approx (* n (+ (* -1 (/ (exp (/ (log x) n)) x)) (* -1 (/ (+ (* -1/2 (/ (exp (/ (log x) n)) x)) (+ (* -1/4 (/ (exp (/ (log x) n)) (* (* x x) x))) (* 1/3 (/ (exp (/ (log x) n)) (* x x))))) x)))) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 n (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n))) x))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 11/24 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))))))))))) (pow.f64 n #s(literal 4 binary64)))))

Outputs
(if (<=.f64 n #s(literal -110000 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (if (<=.f64 n #s(literal 122000 binary64)) (-.f64 (exp.f64 (.f64 (log1p.f64 x) (pow.f64 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(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))) n) (/.f64 (.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))) n) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))))
(if (or (<=.f64 n #s(literal -110000 binary64)) (not (<=.f64 n #s(literal 122000 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.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))) n) (/.f64 (.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)))) (.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ ( -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.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))) n) (/.f64 (.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)))) (.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (/.f64 (-.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)) (.f64 #s(literal -1 binary64) n)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #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))) n) (/.f64 (.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))) n) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ ( -1 (log x)) n)) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.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))) n) (/.f64 (.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)))) (.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow (exp -1) (/ (* -1 (log x)) n)) (* n x)) (/.f64 (-.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)) (.f64 #s(literal -1 binary64) n)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) n)))))
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derivations275.0ms (1%)

Memory

-13.2MiB live, 123.3MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 859 to 188 computations (78.1% saved)

preprocess68.0ms (0.2%)

Memory: 31.5MiB live, 117.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 744 to 392 computations (77.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze214.0ms (0.8%)

sample20.8s (75.2%)

explain324.0ms (1.2%)

preprocess222.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series70.0ms (0.3%)

rewrite164.0ms (0.6%)

eval17.0ms (0.1%)

prune17.0ms (0.1%)

series506.0ms (1.8%)

rewrite390.0ms (1.4%)

eval218.0ms (0.8%)

prune127.0ms (0.5%)

series584.0ms (2.1%)

rewrite563.0ms (2%)

eval563.0ms (2%)

prune278.0ms (1%)

series435.0ms (1.6%)

rewrite576.0ms (2.1%)

eval739.0ms (2.7%)

prune255.0ms (0.9%)

regimes21.0ms (0.1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0%)

regimes6.0ms (0%)

bsearch95.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.2%)

derivations275.0ms (1%)

preprocess68.0ms (0.2%)

end0.0ms (0%)

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