Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze234.0ms (1%)

Memory

30.5MiB live, 340.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.7s (61.2%)

Memory

-98.8MiB live, 13 173.8MiB allocated

Samples

10.1s	4 862×	5	exit
1.5s	2 854×	2	valid
930.0ms	2 803×	1	valid
473.0ms	2 243×	1	exit
272.0ms	2 599×	0	valid
211.0ms	1 569×	0	exit
11.0ms	5×	4	exit
3.0ms	5×	2	exit
1.0ms	2×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 12.5s

ival-pow: 9.9s (79% of total)

adjust: 1.3s (10.1% of total)

ival-div: 771.0ms (6.2% of total)

ival-sub: 343.0ms (2.7% of total)

ival-add: 209.0ms (1.7% of total)

ival-true: 15.0ms (0.1% of total)

exact: 13.0ms (0.1% of total)

ival-assert: 8.0ms (0.1% of total)

Bogosity

explain301.0ms (1.3%)

Memory

4.1MiB live, 368.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	121	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	61	0
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	136	0
-	47	73

Precision

0.7431693989071039

Recall

1.0

Confusion?

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

Precision?

0.7391304347826086

Recall?

1.0

Freqs

test

number	freq
0	73
1	183

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

135.0ms	246×	1	valid
75.0ms	158×	2	valid
10.0ms	108×	0	valid

Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-pow: 155.0ms (79.9% of total)

adjust: 17.0ms (8.8% of total)

ival-div: 9.0ms (4.6% of total)

ival-add: 6.0ms (3.1% of total)

ival-sub: 5.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess40.0ms (0.2%)

Memory

-8.9MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (0.4%)

Memory

-2.9MiB live, 114.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.05059095591783974	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	8.183639465227253	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	27.776199268750364	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

48.0ms	123×	1	valid
39.0ms	79×	2	valid
5.0ms	54×	0	valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-pow: 38.0ms (62.7% of total)

ival-div: 9.0ms (14.8% of total)

adjust: 7.0ms (11.5% of total)

ival-add: 3.0ms (4.9% of total)

ival-sub: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.3%)

Memory

20.4MiB live, 94.5MiB allocated

Counts

5 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
22.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
9.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify182.0ms (0.8%)

Memory

-5.5MiB live, 267.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1455
1	761	1349
2	2116	1275
3	7452	1269
0	8737	1165

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 (.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(exp (/ (log x) n))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (+ (/ (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)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (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)))))
(fma.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) x))) x)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
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(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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(/ (- (+ (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)
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(fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))))
(+ 1 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n))) (neg.f64 n))) n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) n))

rewrite184.0ms (0.8%)

Memory

15.1MiB live, 225.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8433	27

Stop Event

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

Counts

5 → 321

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)))
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
(.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
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(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x x) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 x (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))

eval78.0ms (0.3%)

Memory: 3.1MiB live, 86.6MiB allocated
Compiler: Compiled 11 308 to 1 474 computations (87% saved)

prune25.0ms (0.1%)

Memory

-5.2MiB live, 30.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	408	14	422
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	408	15	423

Accuracy

99.8%

Counts

423 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
	28.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	55.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 993 to 582 computations (41.4% saved)

simplify296.0ms (1.2%)

Memory

-25.2MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
cost-diff	128	(+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
cost-diff	320	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	320	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	601
0	77	601
1	122	601
2	233	601
3	599	601
4	1584	594
5	4219	594
0	8336	583

Stop Event

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

Calls

Call 1

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

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

localize570.0ms (2.4%)

Memory

6.0MiB live, 239.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.7968750000000004	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
accuracy	4.6601211591134994	(+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	12.163995074569893	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
accuracy	27.856783722122596	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
accuracy	0.12109375	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
accuracy	0.3734646594104385	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	9.191356712949307	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
accuracy	28.579556072230048	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
accuracy	0.5290663766518865	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	2.651958756839546	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
accuracy	27.2386008591692	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	27.776199268750364	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.05059095591783974	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	14.728328258856642	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	27.776199268750364	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0	(log.f64 x)
accuracy	0.23046875	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	19.320246412706823	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	24.731187094702666	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

247.0ms	117×	1	valid
169.0ms	94×	2	valid
19.0ms	32×	0	exit
5.0ms	13×	0	valid

Compiler

Compiled 1 097 to 86 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-sub: 73.0ms (26.5% of total)

ival-pow: 73.0ms (26.5% of total)

ival-div: 34.0ms (12.3% of total)

adjust: 27.0ms (9.8% of total)

ival-mult: 26.0ms (9.4% of total)

ival-add: 16.0ms (5.8% of total)

const: 10.0ms (3.6% of total)

ival-log: 8.0ms (2.9% of total)

ival-log1p: 7.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series285.0ms (1.2%)

Memory

43.3MiB live, 156.9MiB allocated

Counts

23 → 190

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
104.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (log x) (/ 1/2 (* n n)) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
85.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (log x) (/ 1/2 (* n n)) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
37.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (log x) (/ 1/2 (* n n)) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
23.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (log x) (/ 1/2 (* n n)) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))
19.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (log x) (/ 1/2 (* n n)) (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))))

simplify645.0ms (2.7%)

Memory

-153.6MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	979	5657
1	3076	5388
0	8134	5154

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 189

Calls

Call 1

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

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

rewrite181.0ms (0.8%)

Memory

-4.1MiB live, 226.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	444
0	77	444
1	371	408
2	4098	408
0	8923	398

Stop Event

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

Counts

23 → 511

Calls

Call 1

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

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

eval170.0ms (0.7%)

Memory: 3.4MiB live, 274.5MiB allocated
Compiler: Compiled 57 144 to 4 752 computations (91.7% saved)

prune58.0ms (0.2%)

Memory

-9.7MiB live, 115.7MiB allocated

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	1 021	33	1 054
Fresh	4	5	9
Picked	4	1	5
Done	0	1	1
Total	1 029	40	1 069

Accuracy

100.0%

Counts

1 069 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(approx (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	33.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x (.f64 n (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (*.f64 n x)) x))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))
	23.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) #s(literal 2 binary64))) (.f64 x (-.f64 (*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	23.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) #s(literal -1 binary64))) x))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
	59.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
	41.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) n)) #s(literal 1 binary64)) (neg.f64 n))) x))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	33.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	55.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
▶	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
▶	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))))
▶	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
▶	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
	25.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x))))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 n x) x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (log.f64 x) n) (/.f64 (/.f64 (log.f64 x) n) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)))

Compiler

Compiled 3 148 to 1 769 computations (43.8% saved)

simplify108.0ms (0.4%)

Memory

21.8MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 n #s(literal -1 binary64))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	12928	(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (log.f64 x) n)
cost-diff	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
cost-diff	576	(exp.f64 (/.f64 (log.f64 x) n))
cost-diff	128	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x))
cost-diff	128	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))
cost-diff	384	(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	5760	(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
cost-diff	0	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff	0	(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	6464	(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	470
0	88	466
1	143	454
2	270	443
3	601	436
4	1559	436
5	4066	436
6	6038	436
7	7561	436
0	8061	436

Stop Event

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

Calls

Call 1

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

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

localize343.0ms (1.4%)

Memory

14.2MiB live, 411.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))
accuracy	0.32421875	(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	24.731187094702666	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	26.892554007754974	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	0.05549257271092109	(exp.f64 (/.f64 (log.f64 x) n))
accuracy	0.2421875	(/.f64 (log.f64 x) n)
accuracy	3.2368615584396516	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy	27.7644783578685	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy	0.2109375	(/.f64 (/.f64 #s(literal 1/3 binary64) n) x)
accuracy	0.40234375	(/.f64 #s(literal 1/3 binary64) n)
accuracy	26.892554007754974	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
accuracy	35.55261970733501	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.1875	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy	26.892554007754974	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy	35.393948247396644	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy	0.5975777664145188	(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.7309915528217029	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	24.75692555656309	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy	26.892554007754974	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))

Samples

151.0ms	95×	2	valid
117.0ms	116×	1	valid
26.0ms	45×	0	valid

Compiler

Compiled 874 to 104 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-pow: 82.0ms (35.3% of total)

adjust: 45.0ms (19.4% of total)

ival-div: 42.0ms (18.1% of total)

ival-mult: 12.0ms (5.2% of total)

ival-sub: 11.0ms (4.7% of total)

ival-log: 9.0ms (3.9% of total)

ival-log1p: 8.0ms (3.4% of total)

ival-add: 7.0ms (3% of total)

const: 5.0ms (2.2% of total)

ival-pow2: 5.0ms (2.2% of total)

ival-exp: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series185.0ms (0.8%)

Memory

12.7MiB live, 203.9MiB allocated

Counts

28 → 150

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	n	@	0	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (log x) n) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (* (pow n -1) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/3 n) (/ (/ 1/3 n) x) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
27.0ms	n	@	-inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (log x) n) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (* (pow n -1) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/3 n) (/ (/ 1/3 n) x) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
26.0ms	x	@	inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (log x) n) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (* (pow n -1) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/3 n) (/ (/ 1/3 n) x) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
25.0ms	x	@	-inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (log x) n) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (* (pow n -1) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/3 n) (/ (/ 1/3 n) x) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
24.0ms	n	@	inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (log x) n) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (* (pow n -1) (pow (pow (- (log (+ 1 x)) (log x)) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/3 n) (/ (/ 1/3 n) x) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))

simplify185.0ms (0.8%)

Memory

5.0MiB live, 191.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1079	9381
1	3632	8645
0	8556	8195

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 149

Calls

Call 1

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

rewrite210.0ms (0.9%)

Memory

-21.2MiB live, 204.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	392
0	88	410
1	380	322
2	3065	310
0	8794	310

Stop Event

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

Counts

28 → 1 039

Calls

Call 1

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

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

eval142.0ms (0.6%)

Memory: 0.1MiB live, 184.9MiB allocated
Compiler: Compiled 49 239 to 5 423 computations (89% saved)

prune79.0ms (0.3%)

Memory

10.7MiB live, 133.7MiB allocated

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	959	35	994
Fresh	11	22	33
Picked	4	1	5
Done	0	2	2
Total	974	60	1 034

Accuracy

100.0%

Counts

1 034 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(approx (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 n x)))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	59.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
	41.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) n)) #s(literal 1 binary64)) (neg.f64 n))) x))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
▶	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
▶	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 n))))
	55.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	17.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -2 binary64)) #s(literal -1 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (/.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal -1 binary64))))
	28.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) x)) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (neg.f64 (log.f64 x)))))
▶	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x) (.f64 (neg.f64 x) (.f64 (neg.f64 x) n)))))
▶	26.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) n)) (neg.f64 x))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) n) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x))) (neg.f64 x))))
✓	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	16.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (exp.f64 (neg.f64 (log.f64 n)))) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 n #s(literal 3 binary64)) x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	17.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 x (*.f64 n #s(literal 3 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	21.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x n))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/.f64 (/.f64 #s(literal 1/3 binary64) n) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	34.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))) (neg.f64 x))))
	37.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))) (neg.f64 x))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal -1 binary64) x))))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))))
	16.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 #s(literal -1 binary64) n)))) #s(literal -1 binary64)))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x))))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
	25.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x))))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 n x) x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (log.f64 x) n) (/.f64 (/.f64 (log.f64 x) n) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)))

Compiler

Compiled 4 777 to 2 891 computations (39.5% saved)

simplify118.0ms (0.5%)

Memory

-4.0MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
cost-diff	128	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x))
cost-diff	384	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))
cost-diff	1152	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))
cost-diff	0	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
cost-diff	0	(*.f64 x n)
cost-diff	0	(.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
cost-diff	128	(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	192	(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
cost-diff	192	(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	-384	(/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x))
cost-diff	0	(*.f64 n x)
cost-diff	0	#s(approx (exp (/ (log x) n)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))))
cost-diff	5888	(neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
cost-diff	6080	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	704
0	114	704
1	198	700
2	400	672
3	1091	659
4	3826	647
5	7509	647
0	8382	647

Stop Event

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

Calls

Call 1

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

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

localize442.0ms (1.8%)

Memory

6.5MiB live, 514.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.7929604933208236	(-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64)))
accuracy	19.320246412706823	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
accuracy	28.021744199453842	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x)))
accuracy	31.857260202936594	(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n)))
accuracy	0.053106019159147255	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
accuracy	0.5259391947606986	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
accuracy	2.2031250000000004	(.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
accuracy	27.7644783578685	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
accuracy	0.18359375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
accuracy	0.23046875	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n)
accuracy	19.320246412706823	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
accuracy	28.9395558236717	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	0	(*.f64 n x)
accuracy	3.2368615584396516	(/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x))
accuracy	19.58204717126465	#s(approx (exp (/ (log x) n)) #s(literal 1 binary64))
accuracy	27.7644783578685	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))
accuracy	0.328125	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.6398202637479349	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	19.320246412706823	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
accuracy	24.75692555656309	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

168.0ms	94×	2	valid
153.0ms	117×	1	valid
47.0ms	32×	0	exit
7.0ms	13×	0	valid

Compiler

Compiled 1 264 to 136 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-pow: 83.0ms (26.2% of total)

ival-div: 71.0ms (22.4% of total)

adjust: 39.0ms (12.3% of total)

ival-mult: 38.0ms (12% of total)

ival-add: 26.0ms (8.2% of total)

ival-sub: 15.0ms (4.7% of total)

const: 10.0ms (3.2% of total)

ival-log: 9.0ms (2.8% of total)

ival-pow2: 9.0ms (2.8% of total)

ival-log1p: 8.0ms (2.5% of total)

ival-exp: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series286.0ms (1.2%)

Memory

13.1MiB live, 259.0MiB allocated

Counts

29 → 195

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
128.0ms	n	@	0	((* (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp (/ (log x) n)) (* n x) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (* x n) (pow x (/ -1 n))) (* x n) (pow x (/ -1 n)) (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n)) (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x) (/ 1 (* (* x n) (pow x (/ -1 n)))) (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)))
56.0ms	n	@	inf	((* (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp (/ (log x) n)) (* n x) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (* x n) (pow x (/ -1 n))) (* x n) (pow x (/ -1 n)) (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n)) (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x) (/ 1 (* (* x n) (pow x (/ -1 n)))) (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)))
29.0ms	n	@	-inf	((* (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp (/ (log x) n)) (* n x) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (* x n) (pow x (/ -1 n))) (* x n) (pow x (/ -1 n)) (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n)) (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x) (/ 1 (* (* x n) (pow x (/ -1 n)))) (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)))
24.0ms	x	@	-inf	((* (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp (/ (log x) n)) (* n x) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (* x n) (pow x (/ -1 n))) (* x n) (pow x (/ -1 n)) (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n)) (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x) (/ 1 (* (* x n) (pow x (/ -1 n)))) (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)))
22.0ms	x	@	inf	((* (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/ (/ -1 n) (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp (/ (log x) n)) (* n x) (/ (exp (/ (log x) n)) (* n x)) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (* x n) (pow x (/ -1 n))) (* x n) (pow x (/ -1 n)) (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n)) (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x) (/ 1 (* (* x n) (pow x (/ -1 n)))) (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)))

simplify213.0ms (0.9%)

Memory

-16.3MiB live, 225.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1294	11261
1	4251	10406
0	8584	9914

Stop Event

1×	iter limit
1×	node limit

Counts

195 → 195

Calls

Call 1

Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(/ 1 (pow (log x) 3))
(+ (/ 1 (pow (log x) 3)) (/ (pow x 3) (pow (log x) 6)))
(+ (* (pow x 3) (+ (* -3/2 (/ x (pow (log x) 6))) (/ 1 (pow (log x) 6)))) (/ 1 (pow (log x) 3)))
(+ (* (pow x 3) (+ (* x (- (* 7/4 (/ x (pow (log x) 6))) (* 3/2 (/ 1 (pow (log x) 6))))) (/ 1 (pow (log x) 6)))) (/ 1 (pow (log x) 3)))
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(exp (/ (log x) n))
(* n x)
(/ (exp (/ (log x) n)) (* n x))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -1/3 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3))
(/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 3))
(/ -1/4 (pow x 2))
(/ (- (* 1/3 x) 1/4) (pow x 2))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2))
(/ -1/4 (pow x 4))
(/ (- (* 1/3 x) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))
(* n (* x (exp (* -1 (/ (log x) n)))))
(exp (* -1 (/ (log x) n)))
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ -1/3 (* n (pow x 2)))
(/ (- (* 1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/ (- (* x (+ (* 1/2 (/ 1 n)) (/ x n))) (* 1/3 (/ 1 n))) (pow x 2))
(* -1 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(pow (log x) 3)
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -1/3 x)) (pow x 2))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ (- (* x (+ (* -1 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ 1/9 (* (pow n 2) (pow x 4)))
(/ (+ (* -1/3 (/ x (pow n 2))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/ (+ (* x (- (* 1/4 (/ x (pow n 2))) (* 1/3 (/ 1 (pow n 2))))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/ (+ (* x (- (* x (+ (* -1 (/ (pow x 2) (pow n 2))) (* 1/4 (/ 1 (pow n 2))))) (* 1/3 (/ 1 (pow n 2))))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/ 1 (* n x))
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(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -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))
(* -1 (* n (+ (* -1 x) (/ (* x (log x)) n))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* 1/2 (/ (* x (pow (log x) 2)) n))) n)))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* -1 (/ (+ (* -1/2 (* x (pow (log x) 2))) (* 1/6 (/ (* x (pow (log x) 3)) n))) n))) n)))))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(/ (- (/ (pow (- (* 1/3 (/ 1 x)) 1/2) 2) (pow x 2)) 1) (* n (* x (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))))))
(* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (/ (pow (- (* 1/3 (/ 1 x)) 1/2) 2) (pow x 2)) 1) (* n (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))))))

Outputs
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1 binary64)) n) (log.f64 x))) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) n)) (-.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1 binary64)) n)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 x) n)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1 binary64)) n) (log.f64 x))) (log.f64 x)))) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 x) n)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1 binary64)) n) (log.f64 x)))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(/ 1 (pow (log x) 3))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(+ (/ 1 (pow (log x) 3)) (/ (pow x 3) (pow (log x) 6)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(+ (* (pow x 3) (+ (* -3/2 (/ x (pow (log x) 6))) (/ 1 (pow (log x) 6)))) (/ 1 (pow (log x) 3)))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(+ (* (pow x 3) (+ (* x (- (* 7/4 (/ x (pow (log x) 6))) (* 3/2 (/ 1 (pow (log x) 6))))) (/ 1 (pow (log x) 6)))) (/ 1 (pow (log x) 3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) (/.f64 x (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* -1 (/ (pow (log x) 3) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) (/.f64 x n) (/.f64 #s(literal -3/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(* n x)
(*.f64 x n)
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ 1/4 (pow x 3))
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* -1/3 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) x #s(literal -1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ (- (* 1/3 x) 1/4) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/4 binary64)) (*.f64 x x))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/4 binary64)) (*.f64 x x))
(/ -1/4 (pow x 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 1/3 x) 1/4) (pow x 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* n (* x (exp (* -1 (/ (log x) n)))))
(.f64 (.f64 x n) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n))))
(exp (* -1 (/ (log x) n)))
(exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(/ 1/3 (* n (pow x 3)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64)))
(/ -1/3 (* n (pow x 2)))
(/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))
(/ (- (* 1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))
(/ (- (* x (+ (* 1/2 (/ 1 n)) (/ x n))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))
(* -1 (pow (log x) 3))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(- (pow x 3) (pow (log x) 3))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) x #s(literal -3/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (log.f64 x))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ (+ 1/4 (* -1/3 x)) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) (*.f64 x x))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))))
(/ (- (* x (+ (* -1 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))
(/ 1/9 (* (pow n 2) (pow x 4)))
(/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1/3 (/ x (pow n 2))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/.f64 (fma.f64 (/.f64 x (.f64 n n)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 n n))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* x (- (* 1/4 (/ x (pow n 2))) (* 1/3 (/ 1 (pow n 2))))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 x n) (/.f64 #s(literal -1/3 binary64) (.f64 n n))) x (/.f64 #s(literal 1/9 binary64) (.f64 n n))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* x (- (* x (+ (* -1 (/ (pow x 2) (pow n 2))) (* 1/4 (/ 1 (pow n 2))))) (* 1/3 (/ 1 (pow n 2))))) (* 1/9 (/ 1 (pow n 2)))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 (/.f64 x n) (/.f64 x n))) x (/.f64 #s(literal -1/3 binary64) (.f64 n n))) x (/.f64 #s(literal 1/9 binary64) (.f64 n n))) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)
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(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)
(/ (+ (* 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)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)))) n)
(* n (+ x (* -1 (/ (* x (log x)) n))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (log.f64 x) n) x) n)
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))))))
(.f64 (+.f64 (fma.f64 (neg.f64 x) (/.f64 (log.f64 x) n) x) (.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (+ (* -1/6 (/ (* x (pow (log x) 3)) (pow n 3))) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2)))))))
(.f64 (+.f64 (fma.f64 (neg.f64 x) (/.f64 (log.f64 x) n) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x)) (pow.f64 n #s(literal 3 binary64))))) n)
(+ 1 (* -1 (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1/2 binary64) n)))
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1/2 binary64) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal 3 binary64)))))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) n) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (/.f64 (log.f64 x) n) x)) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (log.f64 x)))) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (/.f64 (log.f64 x) n) x)) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 n n) x)) #s(literal -1/2 binary64))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (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))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (/.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))))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (/.f64 (+.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))))) (neg.f64 n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) (neg.f64 n)) (log.f64 x)) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) n) (/.f64 (log.f64 x) x)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))
(* -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))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (* n (+ (* -1 x) (/ (* x (log x)) n))))
(*.f64 (neg.f64 n) (fma.f64 x (/.f64 (log.f64 x) n) (neg.f64 x)))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* 1/2 (/ (* x (pow (log x) 2)) n))) n)))))
(.f64 (neg.f64 n) (-.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) x)) (neg.f64 n)) x))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* -1 (/ (+ (* -1/2 (* x (pow (log x) 2))) (* 1/6 (/ (* x (pow (log x) 3)) n))) n))) n)))))
(.f64 (neg.f64 n) (-.f64 (/.f64 (neg.f64 (fma.f64 (log.f64 x) x (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n))) (neg.f64 n)) x))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n))
(/ (- (/ (pow (- (* 1/3 (/ 1 x)) 1/2) 2) (pow x 2)) 1) (* n (* x (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x n) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))) (neg.f64 n))) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (/ (pow (- (* 1/3 (/ 1 x)) 1/2) 2) (pow x 2)) 1) (* n (- (* 1/3 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ 1 x)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)))

rewrite199.0ms (0.8%)

Memory

8.1MiB live, 163.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	554
0	114	554
1	509	462
2	4087	458
0	8338	454

Stop Event

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

Counts

29 → 642

Calls

Call 1

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

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

eval169.0ms (0.7%)

Memory: 3.4MiB live, 233.9MiB allocated
Compiler: Compiled 50 186 to 5 090 computations (89.9% saved)

prune87.0ms (0.4%)

Memory

20.9MiB live, 142.6MiB allocated

Pruning

57 alts after pruning (52 fresh and 5 done)

	Pruned	Kept	Total
New	817	12	829
Fresh	12	40	52
Picked	3	2	5
Done	0	3	3
Total	832	57	889

Accuracy

100.0%

Counts

889 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
✓	50.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(approx (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 n x)))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) x) n))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	59.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	41.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal -1 binary64)) (neg.f64 x))) n))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	25.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
✓	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
✓	55.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 n))))
	55.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	17.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -2 binary64)) #s(literal -1 binary64))))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (/.f64 #s(literal -1 binary64) (log.f64 x))) #s(literal -1 binary64))))
	28.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) x)) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (neg.f64 (log.f64 x)))))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (neg (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x) (.f64 (neg.f64 x) (.f64 (neg.f64 x) n)))))
	23.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 (neg.f64 x) n) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) n) n)) (neg.f64 x))))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) n (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) n)) (neg.f64 x))))
	23.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
	22.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) n) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x))) (neg.f64 x))))
✓	35.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 n #s(literal 3 binary64)) x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/.f64 (/.f64 #s(literal 1/3 binary64) n) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	34.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))) (neg.f64 x))))
	37.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))) (neg.f64 x))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x) (.f64 (neg.f64 x) n)) (/.f64 #s(literal -1 binary64) x))))
	34.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x))))
	25.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x))))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 n x) x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (log.f64 x) n) (/.f64 (/.f64 (log.f64 x) n) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)))

Compiler

Compiled 6 222 to 2 062 computations (66.9% saved)

regimes141.0ms (0.6%)

Memory

-6.9MiB live, 184.4MiB allocated

Counts

95 → 2

Calls

Call 1

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

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

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

Calls

4 calls:

55.0ms	(/.f64 #s(literal 1 binary64) n)
28.0ms	x
27.0ms	n
25.0ms	(-.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
93.0%	2	`x`
85.7%	3	`n`
85.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
86.0%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes23.0ms (0.1%)

Memory

3.7MiB live, 40.7MiB allocated

Counts

61 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x) (.f64 (neg.f64 x) n)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x) (.f64 (neg.f64 x) (.f64 (neg.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (/ 1/3 n) x) (/ 1/2 n)) (/.f64 (/.f64 #s(literal 1/3 binary64) n) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 (neg.f64 x) n) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) n) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 x n)) x (/.f64 #s(literal -1/3 binary64) n)) (*.f64 x x))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) n) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) n x))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 n #s(literal 3 binary64)) x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) n (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (neg x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (- (/ (/ (- (/ 1/3 x) 1/2) n) (neg x)) (/ -1 n))) (neg x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (- (pow (/ (/ (- (/ 1/3 x) 1/2) n) x) 2) (pow n -2)) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (pow (pow (- (log (+ 1 x)) (log x)) -1) -1) (neg.f64 (log.f64 x)))))
#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 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
#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 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) x)) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (exp.f64 (neg.f64 (log.f64 n)))) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 x (*.f64 n #s(literal 3 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 #s(literal -1 binary64) n)))) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) n)) #s(literal 1 binary64)) (neg.f64 n))) x))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
92.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes83.0ms (0.3%)

Memory

-16.6MiB live, 106.2MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

27.0ms	(/.f64 #s(literal 1 binary64) n)
21.0ms	x
17.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
14.0ms	n

Results

Accuracy	Segments	Branch
79.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
80.4%	4	`n`
80.4%	3	`(/.f64 #s(literal 1 binary64) n)`
74.0%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes16.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

45 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
81.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes218.0ms (0.9%)

Memory

-46.6MiB live, 55.4MiB allocated

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

160.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	n
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)))

Results

Accuracy	Segments	Branch
73.4%	4	`n`
78.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
73.8%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes12.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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)))

Results

Accuracy	Segments	Branch
78.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes65.0ms (0.3%)

Memory

7.4MiB live, 81.8MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

23.0ms	n
18.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	x
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)))

Results

Accuracy	Segments	Branch
63.5%	5	`n`
63.8%	5	`(/.f64 #s(literal 1 binary64) n)`
63.8%	3	`x`
52.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes14.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
63.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

-14.1MiB live, 22.2MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
63.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.2%)

Memory

17.4MiB live, 59.6MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

20.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	x
10.0ms	n

Results

Accuracy	Segments	Branch
51.0%	3	`n`
50.7%	2	`(/.f64 #s(literal 1 binary64) n)`
48.3%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes12.0ms (0.1%)

Memory

-17.2MiB live, 19.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
50.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes6.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
50.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes11.0ms (0%)

Memory

-20.4MiB live, 17.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
41.3%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
50.1%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes8.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.0%	3	`n`
51.0%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes15.0ms (0.1%)

Memory

-12.5MiB live, 25.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n
2.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
34.3%	1	`x`
34.3%	1	`(/.f64 #s(literal 1 binary64) n)`
34.3%	1	`n`
34.3%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch61.0ms (0.3%)

Memory

-24.0MiB live, 60.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.3434042422332096e-5	0.05293510872780062

Samples

9.0ms	51×	1	valid
6.0ms	18×	2	valid
5.0ms	59×	0	valid

Compiler

Compiled 728 to 437 computations (40% saved)

Precisions

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

ival-pow: 11.0ms (65.6% of total)

adjust: 2.0ms (11.9% of total)

ival-div: 2.0ms (11.9% of total)

ival-add: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.3434042422332096e-5	0.05293510872780062

Compiler

Compiled 384 to 253 computations (34.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3153407163660015e+92	1.2864418132221747e+95
0.0ms	8.206311051338625e-15	5.778146211763658e-8
0.0ms	-1.9765564241963994e-8	-3.770651349569671e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch84.0ms (0.4%)

Memory

22.2MiB live, 96.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.61970304438388e+167	1.2708654245894734e+168
45.0ms	0.05293510872780062	5.5078421546464185

Samples

30.0ms	82×	2	valid
28.0ms	42×	1	valid
10.0ms	84×	0	valid
1.0ms	16×	0	exit

Compiler

Compiled 1 066 to 709 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-pow: 30.0ms (48.4% of total)

ival-sub: 22.0ms (35.5% of total)

adjust: 5.0ms (8.1% of total)

ival-div: 3.0ms (4.8% of total)

ival-add: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Compiler

Compiled 1 038 to 695 computations (33% saved)

bsearch29.0ms (0.1%)

Memory

-31.7MiB live, 14.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.61970304438388e+167	1.2708654245894734e+168
26.0ms	0.05293510872780062	5.5078421546464185

Samples

3.0ms	10×	2	valid
3.0ms	15×	1	valid
2.0ms	23×	0	valid

Compiler

Compiled 1 031 to 695 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow: 5.0ms (74.6% of total)

ival-div: 1.0ms (14.9% of total)

adjust: 1.0ms (14.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.030881202638128595	-0.00061472864994993

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.030881202638128595	-0.00061472864994993

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.030881202638128595	-0.00061472864994993

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.030881202638128595	-0.00061472864994993

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.623258799172821e+69	4.166323272885412e+89
0.0ms	-0.030881202638128595	-0.00061472864994993

Compiler

Compiled 14 to 14 computations (0% saved)

simplify98.0ms (0.4%)

Memory

11.5MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	210	1612
1	267	1611
2	355	1607
3	462	1605
4	628	1605
5	867	1605
6	1196	1602
7	1525	1602
8	1859	1602
9	2130	1602
10	2278	1602
11	2324	1602
12	2328	1602

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7493989779944505/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(approx (+ (/ (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)))
(if (<=.f64 x #s(literal 7493989779944505/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) n (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) (/.f64 n (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) n)) (neg.f64 x)))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))) (neg.f64 x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) (neg x)) (/ 1 n)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) n))) (neg.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) (*.f64 n x)))

soundness1.9s (7.9%)

Memory

11.1MiB live, 1 202.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	1455
1	761	1349
2	2116	1275
3	7452	1269
0	8737	1165
0	1079	9381
1	3632	8645
0	8556	8195
0	44	444
0	77	444
1	371	408
2	4098	408
0	8923	398
0	56	392
0	88	410
1	380	322
2	3065	310
0	8794	310
0	979	5657
1	3076	5388
0	8134	5154
0	71	554
0	114	554
1	509	462
2	4087	458
0	8338	454

Stop Event

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

Compiler

Compiled 2 297 to 763 computations (66.8% saved)

preprocess284.0ms (1.2%)

Memory: 2.1MiB live, 115.9MiB allocated
Compiler: Compiled 3 230 to 436 computations (86.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

start0.0ms (0%)

analyze234.0ms (1%)

sample14.7s (61.2%)

explain301.0ms (1.3%)

preprocess40.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize101.0ms (0.4%)

series70.0ms (0.3%)

simplify182.0ms (0.8%)

rewrite184.0ms (0.8%)

eval78.0ms (0.3%)

prune25.0ms (0.1%)

simplify296.0ms (1.2%)

localize570.0ms (2.4%)

series285.0ms (1.2%)

simplify645.0ms (2.7%)

rewrite181.0ms (0.8%)

eval170.0ms (0.7%)

prune58.0ms (0.2%)

simplify108.0ms (0.4%)

localize343.0ms (1.4%)

series185.0ms (0.8%)

simplify185.0ms (0.8%)

rewrite210.0ms (0.9%)

eval142.0ms (0.6%)

prune79.0ms (0.3%)

simplify118.0ms (0.5%)

localize442.0ms (1.8%)

series286.0ms (1.2%)

simplify213.0ms (0.9%)

rewrite199.0ms (0.8%)

eval169.0ms (0.7%)

prune87.0ms (0.4%)

regimes141.0ms (0.6%)

regimes23.0ms (0.1%)

regimes83.0ms (0.3%)

regimes16.0ms (0.1%)

regimes218.0ms (0.9%)

regimes12.0ms (0.1%)

regimes65.0ms (0.3%)

regimes14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes41.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes11.0ms (0%)

regimes8.0ms (0%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

bsearch61.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch84.0ms (0.4%)

bsearch3.0ms (0%)

bsearch29.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify98.0ms (0.4%)

soundness1.9s (7.9%)

preprocess284.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34