Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze195.0ms (1.2%)

Memory

-7.5MiB live, 268.0MiB allocated; 25ms 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)

sample13.3s (83.9%)

Memory

176.6MiB live, 10 945.5MiB allocated; 3.1s collecting garbage

Samples

8.6s	6 145×	5	exit
1.9s	2 790×	2	valid
1.2s	2 882×	1	valid
208.0ms	2 584×	0	valid
184.0ms	1 639×	0	exit
152.0ms	1 109×	1	exit
5.0ms	2×	4	exit
3.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 11.3s

ival-pow: 9.5s (84% of total)

adjust: 1.2s (10.4% of total)

ival-div!: 334.0ms (2.9% of total)

ival-sub!: 182.0ms (1.6% of total)

ival-add!: 117.0ms (1% of total)

Bogosity

explain237.0ms (1.5%)

Memory

-43.2MiB live, 67.1MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
101	1	(2.0891898922594472e+299 -1.1024588591406573e+23)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
35	32	(1.6481821083446334e-266 1.9441138235372794e-222)	-	`(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	102	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	67	0

Confusion

	Predicted +	Predicted -
+	120	0
-	49	87

Precision

0.7100591715976331

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	49	0	87

Precision?

0.7100591715976331

Recall?

1.0

Freqs

test

number	freq
0	87
1	169

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	228×	1	valid
72.0ms	170×	2	valid
9.0ms	114×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-pow: 106.0ms (79.5% of total)

adjust: 15.0ms (11.3% of total)

ival-div!: 7.0ms (5.3% of total)

ival-add!: 3.0ms (2.3% of total)

ival-sub!: 3.0ms (2.3% of total)

preprocess54.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms 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
▶	56.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series51.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

8 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	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)))
17.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
7.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite147.0ms (0.9%)

Memory

15.6MiB live, 58.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

63 → 102

Calls

Call 1

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

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

eval15.0ms (0.1%)

Memory: -35.7MiB live, 10.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 327 to 499 computations (85% saved)

prune9.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Accuracy

99.8%

Counts

115 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	24.5%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64))))))
	18.2%	(-.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)))
▶	29.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	38.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	32.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	58.4%	#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)))
▶	66.4%	#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 684 to 390 computations (43% saved)

series167.0ms (1.1%)

Memory

-2.1MiB live, 90.3MiB allocated; 18ms collecting garbage

Counts

43 → 275

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

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
35.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
24.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
24.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
22.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))

rewrite178.0ms (1.1%)

Memory

9.3MiB live, 137.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1439	12066
0	1504	10863
0	8459	10696

Stop Event

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

Counts

318 → 386

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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)) (neg.f64 n)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))) n)
(/.f64 (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)) (neg.f64 n))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n))
(/.f64 (neg.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))) (neg.f64 n))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)
(+.f64 (/.f64 (neg.f64 (+.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))) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (.f64 (neg.f64 (+.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))) (neg.f64 (+.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)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.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)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (+.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))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (+.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))) (neg.f64 (+.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))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (+.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)))))
(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))
(+.f64 (neg.f64 (+.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))
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#s(approx (log (+ 1 x)) x)
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#s(approx x x)
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#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#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)))
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#s(approx (+ (/ x n) 1) #s(literal 1 binary64))
#s(approx (+ (/ x n) 1) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
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#s(approx (/ (neg (log x)) n) (/.f64 (neg.f64 (log.f64 x)) n))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (* n x) (*.f64 n x))
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#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x))))
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eval71.0ms (0.4%)

Memory: 7.8MiB live, 67.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 27 073 to 3 021 computations (88.8% saved)

prune27.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	519	21	540
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	525	26	551

Accuracy

99.9%

Counts

551 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
	25.0%	(/.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	18.2%	(-.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)))
	32.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x n) (/.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) #s(literal 1 binary64)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	29.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	8.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	13.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))
▶	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	26.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
▶	38.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	66.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (+.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))) (neg.f64 (+.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)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.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)))
	29.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (.f64 x x))))))) n)))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)))
▶	66.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 (+.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))) n) (/.f64 (log.f64 x) n))))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))) (.f64 n n)))))
▶	31.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))) (.f64 n n))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
	38.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))

Compiler

Compiled 2 206 to 1 140 computations (48.3% saved)

series127.0ms (0.8%)

Memory

-35.1MiB live, 107.0MiB allocated; 4ms collecting garbage

Counts

45 → 368

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
24.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n))) (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n)) (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) (exp (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (/ (exp (/ (log x) n)) (* x x)) (exp (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x))) (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)) -1/2 (/ (exp (/ (log x) n)) x) (* n n))
21.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n))) (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n)) (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) (exp (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (/ (exp (/ (log x) n)) (* x x)) (exp (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x))) (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)) -1/2 (/ (exp (/ (log x) n)) x) (* n n))
20.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n))) (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n)) (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) (exp (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (/ (exp (/ (log x) n)) (* x x)) (exp (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x))) (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)) -1/2 (/ (exp (/ (log x) n)) x) (* n n))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n))) (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n)) (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) (exp (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (/ (exp (/ (log x) n)) (* x x)) (exp (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x))) (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)) -1/2 (/ (exp (/ (log x) n)) x) (* n n))
16.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n))) (+ (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (/ (log x) n)) (/ (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) (exp (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (/ (exp (/ (log x) n)) (* x x)) (exp (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x))) (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)) -1/2 (/ (exp (/ (log x) n)) x) (* n n))

rewrite191.0ms (1.2%)

Memory

-8.0MiB live, 92.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1767	17390
0	1834	16830
0	8194	16351

Stop Event

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

Counts

413 → 462

Calls

Call 1

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

eval73.0ms (0.5%)

Memory: 11.7MiB live, 55.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 42 788 to 3 906 computations (90.9% saved)

prune77.0ms (0.5%)

Memory

-11.7MiB live, 35.4MiB allocated; 4ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	598	10	608
Fresh	4	15	19
Picked	3	2	5
Done	0	2	2
Total	605	29	634

Accuracy

99.9%

Counts

634 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
	25.0%	(/.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	18.2%	(-.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)))
	32.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	29.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	8.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.9%	(-.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)))
	16.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	31.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
▶	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	26.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
▶	38.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
	27.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
▶	66.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (+.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))) (neg.f64 (+.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)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.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)))
	29.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (.f64 x x))))))) n)))
▶	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))) (.f64 n n)))))
	58.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (pow.f64 (.f64 n (.f64 x (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) #s(literal -1 binary64))))
	38.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))) (.f64 n n))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
▶	26.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))

Compiler

Compiled 2 337 to 1 298 computations (44.5% saved)

series201.0ms (1.3%)

Memory

33.7MiB live, 177.9MiB allocated; 15ms collecting garbage

Counts

49 → 412

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
55.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))
29.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))
27.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))
25.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))
22.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))

rewrite278.0ms (1.8%)

Memory

-11.0MiB live, 217.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2573	38091
0	2636	35033
0	8859	34066

Stop Event

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

Counts

461 → 491

Calls

Call 1

Inputs
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#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))

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

eval129.0ms (0.8%)

Memory: 7.5MiB live, 151.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 90 522 to 5 959 computations (93.4% saved)

prune64.0ms (0.4%)

Memory

-18.4MiB live, 87.0MiB allocated; 19ms collecting garbage

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	842	8	850
Fresh	3	17	20
Picked	2	3	5
Done	0	4	4
Total	847	32	879

Accuracy

99.9%

Counts

879 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
	25.0%	(/.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	18.2%	(-.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)))
	32.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	29.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	8.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.9%	(-.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)))
✓	38.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	31.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	58.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
✓	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	26.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
✓	38.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
	32.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x)))))) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal 11/12 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (neg.f64 (log.f64 x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) x))))) x)) n)))
	38.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) x))) n)))
	29.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (.f64 x x))))))) n)))
✓	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)))
	29.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))) (.f64 n n)))))
	58.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (pow.f64 (.f64 n (.f64 x (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) #s(literal -1 binary64))))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))) (.f64 n n))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
	25.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))
	40.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
	26.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) n)))))
	61.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))

Compiler

Compiled 5 413 to 1 385 computations (74.4% saved)

regimes50.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Counts

51 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x n) (/.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) #s(literal 1 binary64)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (pow.f64 (.f64 n (.f64 x (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))) (.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 (+.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))) n) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (.f64 x x))))))) n)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (neg.f64 (+.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))) (neg.f64 (+.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)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (-.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x)))))) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal 11/12 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (neg.f64 (log.f64 x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))))) (neg.f64 (log.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) x))))) x)) n)))

Outputs

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

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

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

Calls

4 calls:

13.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	n
12.0ms	x
9.0ms	(-.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
88.5%	3	`(/.f64 #s(literal 1 binary64) n)`
88.5%	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)))`
79.4%	3	`x`
88.5%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes42.0ms (0.3%)

Memory

-25.6MiB live, 21.7MiB allocated; 1ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

27.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	n

Results

Accuracy	Segments	Branch
88.5%	3	`(/.f64 #s(literal 1 binary64) n)`
88.5%	3	`n`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes29.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

40 → 4

Calls

Call 1

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

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

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
88.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
90.0%	4	`n`
90.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes27.0ms (0.2%)

Memory

-9.4MiB live, 36.0MiB allocated; 2ms collecting garbage

Counts

33 → 5

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

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

Calls

3 calls:

10.0ms	n
8.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
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)))`
88.1%	5	`(/.f64 #s(literal 1 binary64) n)`
88.1%	6	`n`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes11.0ms (0.1%)

Memory

-31.7MiB live, 14.7MiB allocated; 1ms collecting garbage

Counts

31 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x n) (/.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) #s(literal 1 binary64)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
86.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes9.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

30 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 x) (*.f64 n x))) n)))
#s(approx (- (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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
86.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes8.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
85.8%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes23.0ms (0.1%)

Memory

-25.1MiB live, 24.3MiB allocated; 7ms collecting garbage

Counts

22 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 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))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

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

Calls

3 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n

Results

Accuracy	Segments	Branch
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)))`
76.7%	6	`n`
76.7%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes21.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Counts

19 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.8%	8	`n`
66.4%	7	`(/.f64 #s(literal 1 binary64) n)`
65.7%	4	`x`
58.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory

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

Counts

18 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) x))) n)))

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

-40.1MiB live, 7.4MiB allocated; 1ms 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (pow.f64 x #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (log.f64 x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (/ (neg (log x)) n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (.f64 n x)))

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
49.6%	3	`n`
49.2%	2	`(/.f64 #s(literal 1 binary64) n)`
48.9%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

5 → 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ 1 (exp (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) #s(approx (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/.f64 #s(approx (- (pow x -1) (* 1/2 (pow x -2))) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) n))))

Outputs

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

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

Calls

2 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	x

Results

Accuracy	Segments	Branch
48.6%	2	`x`
48.8%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes4.0ms (0%)

Memory

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

Counts

1 → 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)))

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

Results

Accuracy	Segments	Branch
34.5%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
34.5%	1	`n`
34.5%	1	`x`
34.5%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 16 to 13 computations (18.8% saved)

end0.0ms (0%)

Memory

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

Steps

Time	Left	Right
0.0ms	-1.7953635468409664e+21	-252.0532389335972

start0.0ms (0%)

analyze195.0ms (1.2%)

sample13.3s (83.9%)

explain237.0ms (1.5%)

preprocess54.0ms (0.3%)

series51.0ms (0.3%)

rewrite147.0ms (0.9%)

eval15.0ms (0.1%)

prune9.0ms (0.1%)

series167.0ms (1.1%)

rewrite178.0ms (1.1%)

eval71.0ms (0.4%)

prune27.0ms (0.2%)

series127.0ms (0.8%)

rewrite191.0ms (1.2%)

eval73.0ms (0.5%)

prune77.0ms (0.5%)

series201.0ms (1.3%)

rewrite278.0ms (1.8%)

eval129.0ms (0.8%)

prune64.0ms (0.4%)

regimes50.0ms (0.3%)

regimes42.0ms (0.3%)

regimes29.0ms (0.2%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

end0.0ms (0%)

Profiling