Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze337.0ms (1.6%)

Memory

10.2MiB live, 326.5MiB allocated; 160ms 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)

sample14.8s (71.3%)

Memory

22.9MiB live, 16 995.2MiB allocated; 3.4s collecting garbage

Samples

10.0s	5 785×	5	exit
1.4s	2 886×	2	valid
1.1s	2 842×	1	valid
236.0ms	2 528×	0	valid
163.0ms	1 494×	0	exit
161.0ms	1 106×	1	exit
157.0ms	137×	4	exit
4.0ms	2×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 12.3s

ival-pow: 10.1s (82.2% of total)

adjust: 1.4s (11.4% of total)

ival-div!: 423.0ms (3.4% of total)

ival-add!: 207.0ms (1.7% of total)

ival-sub!: 156.0ms (1.3% of total)

exact: 0.0ms (0% of total)

Bogosity

explain265.0ms (1.3%)

Memory

-34.1MiB live, 300.9MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
123	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
30	27	(9.220910235083216e-289 -8.4799960370594e-204)	-	`(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	123	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	57	0

Confusion

	Predicted +	Predicted -
+	142	0
-	38	76

Precision

0.7888888888888889

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	0	0
-	38	0	76

Precision?

0.7888888888888889

Recall?

1.0

Freqs

test

number	freq
0	76
1	180

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms	214×	2	valid
78.0ms	216×	1	valid
6.0ms	82×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-pow: 125.0ms (80.8% of total)

adjust: 17.0ms (11% of total)

ival-div!: 7.0ms (4.5% of total)

ival-add!: 3.0ms (1.9% of total)

ival-sub!: 3.0ms (1.9% of total)

preprocess59.0ms (0.3%)

Memory

-8.9MiB live, 38.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 5 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series57.0ms (0.3%)

Memory

36.4MiB live, 82.9MiB allocated; 3ms collecting garbage

Counts

8 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
10.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
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)))

rewrite174.0ms (0.8%)

Memory

-11.3MiB live, 174.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

63 → 102

Calls

Call 1

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

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

eval12.0ms (0.1%)

Memory: 28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 255 to 504 computations (84.5% saved)

prune16.0ms (0.1%)

Memory

-18.5MiB live, 27.5MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	86	17	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	17	104

Accuracy

99.7%

Counts

104 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.1%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
▶	21.3%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	21.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	21.3%	(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	14.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	23.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	37.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 n n) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (.f64 (.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	53.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	69.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
▶	75.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	66.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))

Compiler

Compiled 1 424 to 744 computations (47.8% saved)

series353.0ms (1.7%)

Memory

-1.4MiB live, 435.0MiB allocated; 48ms collecting garbage

Counts

51 → 493

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
56.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
48.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
48.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
45.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

rewrite954.0ms (4.6%)

Memory

-141.7MiB live, 535.4MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3361	45848
0	3452	43393
0	12378	42136

Stop Event

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

Counts

544 → 602

Calls

Call 1

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

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
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (neg.f64 n))
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(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal -1/6 binary64)
(.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 x))
(*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))
(log.f64 x)
n
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.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)
(*.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)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(*.f64 n n)
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(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
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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))))
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#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx x x)
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) n))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 (.f64 x x) (fma.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 (.f64 x x) (fma.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 #s(literal 11/24 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) x) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 x n) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 (.f64 #s(literal 7/24 binary64) (/.f64 x n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 x x) x) n) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x n)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 x (fma.f64 #s(literal -7/24 binary64) (/.f64 x n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/6 binary64)))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -7/24 binary64) x))) #s(literal 1/6 binary64)))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) x))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 7/4 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 x x) x))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) x))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 7/4 binary64) x) #s(literal 3/2 binary64))))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/4 binary64) (.f64 #s(literal -15/8 binary64) x))) #s(literal 3/2 binary64))))))
#s(approx (pow (log x) 3) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 x x))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -5/6 binary64) x))) #s(literal 1 binary64))))))
#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 n n) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))))
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#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 x)))))) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))) x) (.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/4 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))))) x))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) x))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))) x))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64))) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))) x))
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#s(approx (pow (log (+ 1 x)) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x))))
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#s(approx (pow (log x) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x))) x))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))) x))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 x x)))))) x))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) x)))
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#s(approx (pow (log (+ 1 x)) 2) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
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#s(approx (pow (log x) 2) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
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#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 n x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
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#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x)))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x) (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x)))
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#s(approx (pow (log (+ 1 x)) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
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#s(approx (log x) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))
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#s(approx n n)
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#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
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#s(approx (* n n) (*.f64 n n))
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#s(approx (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(literal 1/2 binary64))
#s(approx (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) n))) (.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n))))
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#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(literal 1/2 binary64))
#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) n))) (.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n))))
#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 n n)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) n)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 n n)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (*.f64 n n)))))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (log1p.f64 x)) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))) n)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (+.f64 (log1p.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n))))
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#s(approx (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (+.f64 #s(literal 1/2 binary64) (.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 -1/12 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x)))))))))) n) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))))) n) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x)))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))) n))))
#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))) n))))
#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))))) n) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))) n))))
#s(approx (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (+.f64 #s(literal 1/2 binary64) (.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 -1/12 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x)))))))))) n) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))))) n) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (log1p.f64 x))))) n))))

eval175.0ms (0.8%)

Memory: -13.0MiB live, 224.1MiB allocated; 36ms collecting garbage
Compiler: Compiled 75 493 to 6 073 computations (92% saved)

prune45.0ms (0.2%)

Memory

-0.1MiB live, 92.9MiB allocated; 4ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	822	23	845
Fresh	2	10	12
Picked	4	1	5
Done	0	0	0
Total	828	34	862

Accuracy

99.8%

Counts

862 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.5%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) #s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) n))))
	21.3%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	14.8%	(/.f64 (-.f64 #s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	32.4%	(/.f64 #s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	21.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	17.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) (.f64 (.f64 n n) #s(literal 1/2 binary64))) (.f64 (*.f64 n n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	14.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	13.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	12.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	37.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	21.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
▶	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	14.6%	(-.f64 #s(approx (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	32.5%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 n n) n)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))))) (.f64 (.f64 x x) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 (.f64 n n) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 n (.f64 (.f64 x x) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 (.f64 n n) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))))) (.f64 n (*.f64 x x))))))) x))
	32.0%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 (.f64 n n) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))))) x))
▶	30.5%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) n))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x)))) n))) n))
	33.4%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x))) n)))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 n n) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal 1/4 binary64) n))) (.f64 (.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	53.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
▶	69.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	36.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 #s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) n) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) n)))) x) (.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) n))) x))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	45.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))) (log.f64 x)) n)))
	63.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log1p.f64 x)) (log.f64 x)) n)))
	63.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (log.f64 x))))) n)))
	44.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) n) (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (log.f64 x) n))))))
	45.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (.f64 (*.f64 n n) n)))))
	46.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (-.f64 (/.f64 x n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))) n) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 4 345 to 2 045 computations (52.9% saved)

series429.0ms (2.1%)

Memory

3.7MiB live, 625.7MiB allocated; 83ms collecting garbage

Counts

82 → 775

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
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rewrite426.0ms (2.1%)

Memory

45.7MiB live, 548.0MiB allocated; 127ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4708	59959
0	4846	57401
0	8266	55673

Stop Event

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

Counts

857 → 922

Calls

Call 1

Inputs
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x
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#s(approx (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))) (* 1/6 (/ (pow (log x) 3) (pow n 2))))))
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#s(approx (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) #s(hole binary64 (- (+ (* -1/2 (pow (log x) 2)) (+ (* -1/24 (/ (pow (log x) 4) (pow n 2))) (* (pow x 2) (+ 1/2 (* x (- (+ (* 1/6 (/ 1 n)) (* x (- (+ 11/24 (* 1/24 (/ 1 (pow n 2)))) (* 1/4 (/ 1 n))))) 1/2)))))) (* 1/6 (/ (pow (log x) 3) n)))))
#s(approx (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) #s(hole binary64 (- (* -1/24 (/ (pow (log x) 4) (pow n 2))) (* 1/6 (/ (pow (log x) 3) n)))))
#s(approx (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) #s(hole binary64 (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 2))) (* 1/6 (/ (pow x 3) n))) (* 1/6 (/ (pow (log x) 3) n)))))
#s(approx (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) #s(hole binary64 (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 2))) (* (pow x 3) (+ (* x (- (* 1/24 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n))))) (* 1/6 (/ (pow (log x) 3) n)))))
#s(approx (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) #s(hole binary64 (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 2))) (* (pow x 3) (+ (* x (- (+ (* 1/24 (/ 1 (pow n 2))) (* x (- (* 7/24 (/ 1 n)) (* 1/12 (/ 1 (pow n 2)))))) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n))))) (* 1/6 (/ (pow (log x) 3) n)))))
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#s(approx (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) #s(hole binary64 (* 1/24 (/ (pow (log x) 4) n))))
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#s(approx (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) #s(hole binary64 (+ (* -1/24 (/ (pow (log x) 4) n)) (* (pow x 4) (+ (* -1/12 (/ x n)) (* 1/24 (/ 1 n)))))))
#s(approx (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) #s(hole binary64 (+ (* -1/24 (/ (pow (log x) 4) n)) (* (pow x 4) (+ (* x (- (* 17/144 (/ x n)) (* 1/12 (/ 1 n)))) (* 1/24 (/ 1 n)))))))
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#s(approx (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) #s(hole binary64 (+ (* -1/24 (pow (log x) 4)) (* 1/24 (pow x 4)))))
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#s(approx (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) #s(hole binary64 (+ (* -1/24 (pow (log x) 4)) (* (pow x 4) (+ 1/24 (* x (- (* 17/144 x) 1/12)))))))
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#s(approx (pow (log (+ 1 x)) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2))))))
#s(approx (pow (log (+ 1 x)) 4) #s(hole binary64 (* (pow x 4) (+ 1 (* x (- (* x (+ 17/6 (* -7/2 x))) 2))))))
#s(approx (pow (log x) 4) #s(hole binary64 (pow (log x) 4)))
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#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) #s(hole binary64 (+ (* 1/6 (pow (log x) 3)) (* (pow x 3) (- (* 1/4 x) 1/6)))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) #s(hole binary64 (+ (* 1/6 (pow (log x) 3)) (* (pow x 3) (- (* x (+ 1/4 (* -7/24 x))) 1/6)))))
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#s(approx (pow (log x) 3) #s(hole binary64 (pow (log x) 3)))
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#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2)))))
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#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))))
#s(approx (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(hole binary64 (* -1/2 (/ (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))) n))))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2)))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))) n)) (* 1/2 (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) n))))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (- (* -1/6 (pow (log (pow (+ 1 x) 2)) 3)) (* -1/6 (pow (log (pow x 2)) 3)))) (+ (* 1/4 (* (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) (* 1/2 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2)))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))))))) n)) (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2))))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))) n)) (* 1/2 (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) n))))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (- (* 1/24 (pow (log (pow (+ 1 x) 2)) 4)) (* 1/24 (pow (log (pow x 2)) 4)))) (+ (* 1/4 (* (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) (+ (* 1/2 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* 1/2 (- (* -1/6 (pow (log (pow (+ 1 x) 2)) 3)) (* -1/6 (pow (log (pow x 2)) 3)))) (+ (* 1/4 (* (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) (* 1/2 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2)))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))))))))) (* 1/2 (* (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) (- (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2)))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))))))))) n)) (* 1/2 (- (* -1/6 (pow (log (pow (+ 1 x) 2)) 3)) (* -1/6 (pow (log (pow x 2)) 3))))) (+ (* 1/4 (* (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) (* 1/2 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2)))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))))))) n)) (* 1/2 (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2))))) (* 1/4 (* (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2))))))) n)) (* 1/2 (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))))) n))))
#s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (pow (+ 1 x) 2))) (* -1 (log (pow x 2)))) n))))
#s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (pow (+ 1 x) 2))) (* -1 (/ (- (* 1/2 (pow (log (pow (+ 1 x) 2)) 2)) (* 1/2 (pow (log (pow x 2)) 2))) n))) (* -1 (log (pow x 2)))) n))))
#s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (pow (+ 1 x) 2))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (pow (+ 1 x) 2)) 3)) (* -1/6 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (pow (+ 1 x) 2)) 2))) (* 1/2 (pow (log (pow x 2)) 2))) n))) (* -1 (log (pow x 2)))) n))))
#s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (pow (+ 1 x) 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (pow (+ 1 x) 2)) 4)) (* 1/24 (pow (log (pow x 2)) 4))) n)) (* -1/6 (pow (log (pow (+ 1 x) 2)) 3))) (* -1/6 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (pow (+ 1 x) 2)) 2))) (* 1/2 (pow (log (pow x 2)) 2))) n))) (* -1 (log (pow x 2)))) n))))
#s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (pow (+ 1 x) 2))) (* -1/2 (/ (pow (log (pow (+ 1 x) 2)) 2) n))) n)))))
#s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (pow (+ 1 x) 2))) (* -1 (/ (+ (* 1/6 (/ (pow (log (pow (+ 1 x) 2)) 3) n)) (* 1/2 (pow (log (pow (+ 1 x) 2)) 2))) n))) n)))))
#s(approx (pow (* x x) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (pow x 2))) (* -1/2 (/ (pow (log (pow x 2)) 2) n))) n)))))
#s(approx (pow (* x x) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (pow x 2))) (* -1 (/ (+ (* 1/6 (/ (pow (log (pow x 2)) 3) n)) (* 1/2 (pow (log (pow x 2)) 2))) n))) n)))))
#s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) n)))))
#s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (+ 2 (* -1 (/ (+ (* -1 (log x)) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) n)))) n)))))
#s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (+ 2 (* -1 (/ (+ (* -1 (log x)) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))) n)) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))) n)))) n)))))
#s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (log (/ (pow (+ 1 x) 2) (pow x 2)))) (* -1/2 (/ (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2))) n))) (* -1/4 (/ (* (log (* x (+ 1 x))) (log (/ (pow (+ 1 x) 2) (pow x 2)))) n))) n))))
#s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2)))) (* -1/4 (* (log (* x (+ 1 x))) (log (/ (pow (+ 1 x) 2) (pow x 2)))))) n)) (* 1/2 (log (/ (pow (+ 1 x) 2) (pow x 2)))))))

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

eval187.0ms (0.9%)

Memory: 0.5MiB live, 231.9MiB allocated; 37ms collecting garbage
Compiler: Compiled 113 139 to 10 141 computations (91% saved)

prune52.0ms (0.3%)

Memory

-26.7MiB live, 74.3MiB allocated; 4ms collecting garbage

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1 026	18	1 044
Fresh	10	18	28
Picked	4	1	5
Done	0	1	1
Total	1 040	38	1 078

Accuracy

99.8%

Counts

1 078 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.8%	(/.f64 (-.f64 #s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	30.0%	(/.f64 (-.f64 #s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) #s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n))))
	32.4%	(/.f64 #s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	21.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	30.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 x) (* 1/2 (/ x n))) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(approx (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	10.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	6.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 n n) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	56.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	37.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	21.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
✓	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	14.6%	(-.f64 #s(approx (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	32.0%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (.f64 x (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 (.f64 n n) (.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))))) x))
	15.0%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (log (/ (* (+ 1 x) (+ 1 x)) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) n))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x)))) n))) n))
	17.6%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 n (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (.f64 n x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) n))) n))
	21.8%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (.f64 n x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) n))) n))
▶	39.4%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 #s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) x)) n))
	36.8%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 #s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
	33.4%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/.f64 #s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x))))) n))
	20.5%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 n (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x)))))) (.f64 n n))))
▶	32.0%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (.f64 (.f64 n n) x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (.f64 n n)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 n x)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))))) x)))
	38.9%	#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) #s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	53.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	36.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 #s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) n) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) n)))) x) (.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) n))) x))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 n n) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))) (log.f64 x)) n)))
	63.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log1p.f64 x)) (log.f64 x)) n)))
	45.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))) (log.f64 x)) n)))
▶	63.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (log.f64 x))))) n)))
	44.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) n) (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (log.f64 x) n))))))
	45.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log1p.f64 x))))))) (.f64 (*.f64 n n) n)))))
	46.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (-.f64 (/.f64 x n) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))) n) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 5 500 to 2 704 computations (50.8% saved)

series449.0ms (2.2%)

Memory

16.0MiB live, 441.0MiB allocated; 76ms collecting garbage

Counts

87 → 707

Calls

Call 1

Inputs
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x
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n
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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)))))
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Calls

6 calls:

Time	Variable		Point	Expression
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rewrite541.0ms (2.6%)

Memory

19.8MiB live, 910.5MiB allocated; 126ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4695	140316
0	4861	131623
0	8166	128419

Stop Event

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

Counts

794 → 859

Calls

Call 1

Inputs
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#s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (log (/ (pow (+ 1 x) 2) (pow x 2)))) (* -1/2 (/ (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2))) n))) (* -1/4 (/ (* (log (* x (+ 1 x))) (log (/ (pow (+ 1 x) 2) (pow x 2)))) n))) n))))
#s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2)))) (* -1/4 (* (log (* x (+ 1 x))) (log (/ (pow (+ 1 x) 2) (pow x 2)))))) n)) (* 1/2 (log (/ (pow (+ 1 x) 2) (pow x 2)))))))
#s(approx (/ (- (+ 1 (* -2 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n))) x) #s(hole binary64 (+ (* -1 (/ (- (* -2 (/ (log x) x)) (* -1 (/ (log x) x))) n)) (/ 1 x))))
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#s(approx (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* 2 (log x)) 2) (* (pow n 2) x)))))
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Outputs
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#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx x x)
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) n))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 (.f64 x x) (fma.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))))
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (.f64 (.f64 x x) (fma.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)) (.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 #s(literal 11/24 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) x) n)) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 x n) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 (.f64 #s(literal 7/24 binary64) (/.f64 x n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 x x) x) n) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x n)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 x (fma.f64 #s(literal -7/24 binary64) (/.f64 x n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/6 binary64)))))
#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -7/24 binary64) x))) #s(literal 1/6 binary64)))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) x))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (-.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 7/4 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 x x) x))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) x))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 7/4 binary64) x) #s(literal 3/2 binary64))))))
#s(approx (pow (log (+ 1 x)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 7/4 binary64) (.f64 #s(literal -15/8 binary64) x))) #s(literal 3/2 binary64))))))
#s(approx (pow (log x) 3) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 x x))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -5/6 binary64) x))) #s(literal 1 binary64))))))
#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
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#s(approx (pow (log (+ 1 x)) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
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#s(approx (pow (log x) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
#s(approx (log x) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x))) x)))
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#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))) x))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))) x))) x)))
#s(approx (pow (log (+ 1 x)) 2) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))
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#s(approx (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/6 binary64) (/.f64 x n)))) n) (*.f64 #s(literal -1/3 binary64) x)) n)))
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#s(approx (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/6 binary64) (/.f64 x n))) n) (*.f64 #s(literal -1/3 binary64) x)) n)))
#s(approx (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) n)))
#s(approx (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)) #s(literal 1/3 binary64)) n)))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))) n)))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))))) n)))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))))))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))))) n)))
#s(approx (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.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 1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 4 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))))))))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))))))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (log1p.f64 x))) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x)))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal -2 binary64) (log.f64 x))))) n)))
#s(approx (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) n))) n)))
#s(approx (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x x)))))) n) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x))))))
#s(approx (/ (- (+ 1 (* -2 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) x))) n) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ 1 (* -2 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (neg.f64 (log.f64 x))) n))))
#s(approx (/ (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (/ (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (+.f64 (/.f64 (log.f64 x) x) (/.f64 (log.f64 x) (.f64 x x))))) n) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) n)))
#s(approx (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) x) (/.f64 (log.f64 x) x)))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 x) x)) n)) #s(literal 1 binary64)) n)))
#s(approx (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) n)) #s(literal 1 binary64)) n)))
#s(approx (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) x))) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)))
#s(approx (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 n x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)))
#s(approx (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 n n) x))))
#s(approx (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) n)))

eval338.0ms (1.6%)

Memory: 20.7MiB live, 248.0MiB allocated; 36ms collecting garbage
Compiler: Compiled 385 404 to 14 128 computations (96.3% saved)

prune85.0ms (0.4%)

Memory

-25.6MiB live, 76.8MiB allocated; 3ms collecting garbage

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 665	17	1 682
Fresh	8	23	31
Picked	4	1	5
Done	0	2	2
Total	1 677	43	1 720

Accuracy

99.8%

Counts

1 720 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.8%	(/.f64 (-.f64 #s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	30.0%	(/.f64 (-.f64 #s(approx (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) #s(approx (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n))))
	32.4%	(/.f64 #s(approx (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	30.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 x) (* 1/2 (/ x n))) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	10.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	9.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n))) n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	17.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 (.f64 n n) n))))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	56.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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✓	37.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
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Compiler

Compiled 10 520 to 2 633 computations (75% saved)

regimes72.0ms (0.3%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Counts

76 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	x
18.0ms	n
18.0ms	(/.f64 #s(literal 1 binary64) n)
13.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
87.2%	3	`(/.f64 #s(literal 1 binary64) n)`
86.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
87.8%	2	`x`
86.8%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes22.0ms (0.1%)

Memory

-35.5MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

68 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
86.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.1%)

Memory

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

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.9%	3	`(/.f64 #s(literal 1 binary64) n)`
80.8%	4	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes30.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	n
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
83.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
84.1%	4	`n`
84.0%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes17.0ms (0.1%)

Memory

-37.1MiB live, 10.3MiB allocated; 1ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

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

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

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

Calls

2 calls:

8.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	(-.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
83.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
83.5%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
74.5%	2	`(/.f64 #s(literal 1 binary64) n)`
83.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes19.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.4%	3	`x`
74.2%	4	`n`
78.4%	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)))`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0%)

Memory

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

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
78.1%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

16 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.6%	4	`x`
56.5%	5	`n`
56.5%	4	`(/.f64 #s(literal 1 binary64) n)`
49.7%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.1%)

Memory

-39.7MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.9%	4	`n`
50.9%	3	`(/.f64 #s(literal 1 binary64) n)`
48.7%	4	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes3.0ms (0%)

Memory

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

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
48.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes6.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Accuracy

Total -18.7b remaining (-42.9%)

Threshold costs -18.7b (-42.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.8%	1	`x`
31.8%	1	`n`
31.8%	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)))`
31.8%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch29.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	342256.0308766023	62532879.95620923

Samples

10.0ms	34×	2	valid
8.0ms	50×	1	valid
2.0ms	28×	0	valid
1.0ms	20×	0	exit

Compiler

Compiled 555 to 363 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 12.0ms (69.1% of total)

adjust: 3.0ms (17.3% of total)

ival-sub!: 1.0ms (5.8% of total)

ival-div!: 1.0ms (5.8% of total)

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

bsearch24.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.10410604468937841	2.2680381976489072

Samples

7.0ms	47×	1	valid
7.0ms	24×	2	valid
3.0ms	41×	0	valid
0.0ms	1×	0	exit

Compiler

Compiled 828 to 517 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 10.0ms (71.1% of total)

adjust: 2.0ms (14.2% of total)

ival-div!: 1.0ms (7.1% of total)

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

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

bsearch54.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	62532879.95620923	11141626625.272968
25.0ms	5.749438694611919e-9	5.546234051311411e-7

Samples

19.0ms	60×	2	valid
16.0ms	95×	1	valid
5.0ms	69×	0	valid
1.0ms	19×	0	exit

Compiler

Compiled 1 045 to 678 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 25.0ms (73% of total)

adjust: 5.0ms (14.6% of total)

ival-div!: 3.0ms (8.8% of total)

ival-add!: 1.0ms (2.9% of total)

ival-sub!: 1.0ms (2.9% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.182574500289875e-15	3.8108857323513425e-10
0.0ms	-2.1946204542715035e-39	-1.0116735614318417e-39

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8108857323513425e-10	4.5946412425605346e-10
0.0ms	-2.1946204542715035e-39	-1.0116735614318417e-39

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7649215422466114e-12	1.2463431964260252e-7
0.0ms	-0.00024129020441199245	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7649215422466114e-12	1.2463431964260252e-7
0.0ms	-0.00024129020441199245	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7649215422466114e-12	1.2463431964260252e-7
0.0ms	-0.00024129020441199245	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7649215422466114e-12	1.2463431964260252e-7
0.0ms	-0.00024129020441199245	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch81.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	4.675078393972216e+168	1.8869840785795785e+170
15.0ms	0.10410604468937841	2.2680381976489072
26.0ms	5.070465423456917e-111	4.535438551980893e-110

Samples

41.0ms	124×	2	valid
16.0ms	73×	1	valid
5.0ms	75×	0	valid
1.0ms	14×	0	exit
0.0ms	2×	1	exit

Compiler

Compiled 3 634 to 1 698 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-pow: 41.0ms (74.6% of total)

adjust: 8.0ms (14.6% of total)

ival-div!: 4.0ms (7.3% of total)

ival-add!: 1.0ms (1.8% of total)

ival-sub!: 1.0ms (1.8% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.184919445398042e+72	4.911217480821481e+90
0.0ms	-7.253726872600631e+38	-705864271800713.0

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.253726872600631e+38	-705864271800713.0

Compiler

Compiled 14 to 14 computations (0% saved)

derivations433.0ms (2.1%)

Memory

-42.4MiB live, 10.4MiB allocated; 95ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 733 to 272 computations (84.3% saved)

preprocess109.0ms (0.5%)

Memory: 27.1MiB live, 125.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 492 to 560 computations (84% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze337.0ms (1.6%)

sample14.8s (71.3%)

explain265.0ms (1.3%)

preprocess59.0ms (0.3%)

series57.0ms (0.3%)

rewrite174.0ms (0.8%)

eval12.0ms (0.1%)

prune16.0ms (0.1%)

series353.0ms (1.7%)

rewrite954.0ms (4.6%)

eval175.0ms (0.8%)

prune45.0ms (0.2%)

series429.0ms (2.1%)

rewrite426.0ms (2.1%)

eval187.0ms (0.9%)

prune52.0ms (0.3%)

series449.0ms (2.2%)

rewrite541.0ms (2.6%)

eval338.0ms (1.6%)

prune85.0ms (0.4%)

regimes72.0ms (0.3%)

regimes22.0ms (0.1%)

regimes16.0ms (0.1%)

regimes27.0ms (0.1%)

regimes30.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes19.0ms (0.1%)

regimes5.0ms (0%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch29.0ms (0.1%)

bsearch24.0ms (0.1%)

bsearch54.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch81.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations433.0ms (2.1%)

preprocess109.0ms (0.5%)

end0.0ms (0%)

Profiling