Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze519.0ms (2.2%)

Memory

-297.1MiB live, 303.8MiB 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)

sample14.8s (61.5%)

Memory

17.9MiB live, 15 033.9MiB allocated

Samples

9.5s	4 847×	5	exit
1.5s	2 756×	2	valid
1.2s	2 938×	1	valid
554.0ms	2 562×	0	valid
499.0ms	2 261×	1	exit
306.0ms	1 574×	0	exit
14.0ms	5×	4	exit
8.0ms	7×	2	exit
0.0ms	1×	3	exit

Precisions

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

ival-pow: 9.8s (79.9% of total)

adjust: 1.2s (9.7% of total)

ival-div: 482.0ms (3.9% of total)

ival-sub: 426.0ms (3.5% of total)

ival-add: 334.0ms (2.7% of total)

ival-true: 16.0ms (0.1% of total)

exact: 12.0ms (0.1% of total)

ival-assert: 7.0ms (0.1% of total)

Bogosity

explain295.0ms (1.2%)

Memory

17.0MiB live, 418.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
114	1	(1.1071393417983416e+91 2.925510636001145e+232)	-	`(-.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	31	(1.8393686126259806e-250 -1.3492304521594674e-143)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	115	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	65	1

Confusion

	Predicted +	Predicted -
+	129	0
-	51	76

Precision

0.7166666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	51	0	76

Precision?

0.7166666666666667

Recall?

1.0

Freqs

test

number	freq
0	76
1	180

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	238×	1	valid
76.0ms	176×	2	valid
9.0ms	98×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-pow: 121.0ms (77.6% of total)

adjust: 15.0ms (9.6% of total)

ival-div: 9.0ms (5.8% of total)

ival-add: 5.0ms (3.2% of total)

ival-sub: 5.0ms (3.2% of total)

ival-true: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

preprocess57.0ms (0.2%)

Memory

-18.3MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
66×	`unsub-neg`
62×	`associate--r+`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(-.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)

simplify7.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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)))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

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))

localize87.0ms (0.4%)

Memory

-13.9MiB live, 102.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.015625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	7.448903651894262	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	26.340730760169667	(-.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

37.0ms	88×	2	valid
32.0ms	119×	1	valid
6.0ms	49×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-pow: 43.0ms (70.2% of total)

adjust: 9.0ms (14.7% of total)

ival-div: 4.0ms (6.5% 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)

series84.0ms (0.4%)

Memory

6.3MiB live, 79.8MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())

Outputs
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x n)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (/ (log (/ 1 x)) n))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (+ (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))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (/ (log (/ 1 x)) n))) (taylor inf x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (/ (log (/ 1 x)) n))) (taylor inf x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (/ (log (/ 1 x)) n))) (taylor inf x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (/ (log (/ 1 x)) n))) (taylor inf x) (#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
23.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
19.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
13.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
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)))

simplify217.0ms (0.9%)

Memory

12.2MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 074×	`lower-fma.f64`
13 074×	`lower-fma.f32`
4 500×	`lower-*.f64`
4 500×	`lower-*.f32`
3 564×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1688
1	761	1578
2	2116	1504
3	7452	1498
0	8737	1380

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

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
(+ 1 x)
(+ 1 x)
(+ 1 x)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(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)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/ (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)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 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))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) 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
(+ 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 n)
(/ 1 n)
(/ 1 n)
(/ 1 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 (/ (- (* -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 (/ (log (+ 1 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 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
1
(+ 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)))

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

rewrite148.0ms (0.6%)

Memory

12.0MiB live, 133.9MiB allocated

Rules

3 822×	`lower-fma.f64`
3 822×	`lower-fma.f32`
3 746×	`lower-*.f64`
3 746×	`lower-*.f32`
3 490×	`lower-pow.f32`

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
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eval87.0ms (0.4%)

Memory: -1.8MiB live, 158.5MiB allocated
Compiler: Compiled 11 717 to 1 475 computations (87.4% saved)

prune24.0ms (0.1%)

Memory

-13.3MiB live, 60.6MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	468	14	482
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	468	15	483

Accuracy

99.9%

Counts

483 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
	26.1%	(/.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))))
✓	53.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	58.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.2%	(-.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)))
	31.0%	(-.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)))
▶	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	26.1%	(*.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))))
	31.5%	#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))
▶	35.7%	#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))
▶	37.6%	#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))
▶	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	53.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 635 to 404 computations (36.4% saved)

simplify312.0ms (1.3%)

Memory

9.0MiB live, 359.0MiB 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	704	(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	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
cost-diff	384	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) 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))

Rules

37 586×	`lower-fma.f32`
37 582×	`lower-fma.f64`
3 848×	`lower-*.f32`
3 846×	`lower-*.f64`
3 480×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	532
0	70	532
1	112	532
2	210	532
3	497	532
4	1328	529
5	3332	529
0	8246	522

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

localize291.0ms (1.2%)

Memory

10.4MiB live, 322.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.5898437500000004	(-.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	4.160125287453087	(+.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	12.398368698540708	(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	27.455610417479356	#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	0.1015625	(/.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	0.6805246228947692	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	9.456978960890936	(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	27.74849333341107	#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	(/.f64 #s(literal 1 binary64) n)
accuracy	0.015625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.109375	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy	27.164110308539062	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.015625	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	13.181546967949677	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	26.340730760169667	(-.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	0.16796875	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	18.518398641495622	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	25.617927406264414	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

136.0ms	99×	2	valid
93.0ms	116×	1	valid
11.0ms	33×	0	exit
3.0ms	8×	0	valid

Compiler

Compiled 450 to 38 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-pow: 47.0ms (23.7% of total)

ival-sub: 36.0ms (18.1% of total)

ival-div: 36.0ms (18.1% of total)

adjust: 24.0ms (12.1% of total)

ival-add: 18.0ms (9.1% of total)

const: 15.0ms (7.6% of total)

ival-log: 9.0ms (4.5% of total)

ival-mult: 7.0ms (3.5% of total)

ival-log1p: 7.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series466.0ms (1.9%)

Memory

-5.1MiB live, 211.3MiB allocated

Counts

21 → 432

Calls

Call 1

Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (patch (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (patch (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (patch (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #<representation binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())

Outputs
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())) ())
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#s(alt (* -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)) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf n) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 n) (taylor -inf n) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) (taylor -inf n) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) (taylor -inf n) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) (taylor -inf n) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
125.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (+ (* (/ (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) (+ (/ (- (+ (/ 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))))
108.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (+ (* (/ (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) (+ (/ (- (+ (/ 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))))
66.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (+ (* (/ (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) (+ (/ (- (+ (/ 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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (+ (* (/ (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) (+ (/ (- (+ (/ 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))))
17.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (+ (* (/ (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) (+ (/ (- (+ (/ 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))))

simplify507.0ms (2.1%)

Memory

-12.6MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 150×	`lower-fma.f64`
9 150×	`lower-fma.f32`
6 634×	`lower-+.f64`
6 634×	`lower-+.f32`
4 234×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	949	11469
1	3001	10829
0	8320	10257

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 431

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

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

rewrite169.0ms (0.7%)

Memory

29.6MiB live, 305.6MiB allocated

Rules

3 864×	`lower-*.f32`
3 862×	`lower-*.f64`
3 524×	`lower-/.f32`
3 500×	`lower-/.f64`
3 498×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	389
0	70	389
1	334	363
2	3736	363
0	8235	353

Stop Event

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

Counts

21 → 488

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)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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))
#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 (/.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
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eval411.0ms (1.7%)

Memory: -13.2MiB live, 456.4MiB allocated
Compiler: Compiled 50 979 to 4 566 computations (91% saved)

prune154.0ms (0.6%)

Memory

3.0MiB live, 129.0MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 457	19	1 476
Fresh	4	5	9
Picked	3	2	5
Done	0	1	1
Total	1 464	27	1 491

Accuracy

100.0%

Counts

1 491 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.1%	(/.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))))
✓	53.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	58.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	(-.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)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	26.3%	(*.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal -1 binary64)))
	31.5%	#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))
	37.6%	#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 (exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) n)) x))
	48.6%	#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 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
✓	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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))))))
	60.4%	#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)))))
	50.0%	#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)))
	60.7%	#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))))
	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	44.2%	#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))
	32.8%	#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))
▶	33.0%	#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))
▶	60.7%	#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)))))
	53.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
▶	60.8%	#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))))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (pow x (/ 1 n)) x) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	27.7%	#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))))
	44.1%	#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))))

Compiler

Compiled 909 to 647 computations (28.8% saved)

simplify85.0ms (0.4%)

Memory

2.3MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
cost-diff	0	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
cost-diff	0	(/.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))))
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
cost-diff	0	#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)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
cost-diff	0	(neg.f64 (log.f64 x))
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)
cost-diff	0	#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))
cost-diff	0	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
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)) (-.f64 (log1p.f64 x) (log.f64 x))))
cost-diff	6080	(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))

Rules

868×	`lower-fma.f64`
868×	`lower-fma.f32`
596×	`lower-*.f32`
594×	`lower-*.f64`
358×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	275
0	60	275
1	80	275
2	106	267
3	168	267
4	280	257
5	440	257
6	655	257
7	899	257
8	1351	257
9	1949	257
10	2178	257
11	2394	257
12	2442	257
13	2450	257
14	2457	257
15	2459	257
0	2459	257

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize343.0ms (1.4%)

Memory

14.0MiB live, 217.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(/.f64 (log1p.f64 x) n)
accuracy	0.21484375000000003	(/.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))))
accuracy	0.7425352825660696	(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
accuracy	26.341645445471666	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
accuracy	0.17578125	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
accuracy	0.21350814817718555	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
accuracy	7.0182489938989425	#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)))))
accuracy	16.878535629778224	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	0	(log.f64 x)
accuracy	0.140625	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)
accuracy	7.0182489938989425	#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))
accuracy	17.730327707294215	#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))
accuracy	1.5567562010343472	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	7.206058856155539	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	26.340730760169667	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	0	(log.f64 x)
accuracy	0.17416000976844204	(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))
accuracy	7.0182489938989425	#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))))
accuracy	16.878535629778224	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

118.0ms	88×	2	valid
92.0ms	80×	1	valid
71.0ms	71×	0	exit
7.0ms	10×	1	exit
2.0ms	7×	0	valid

Compiler

Compiled 257 to 31 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-pow: 142.0ms (55.4% of total)

adjust: 41.0ms (16% of total)

ival-div: 36.0ms (14.1% of total)

ival-sub: 7.0ms (2.7% of total)

ival-log: 7.0ms (2.7% of total)

ival-add: 7.0ms (2.7% of total)

ival-log1p: 6.0ms (2.3% of total)

ival-mult: 5.0ms (2% of total)

ival-exp: 4.0ms (1.6% of total)

ival-neg: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series216.0ms (0.9%)

Memory

-19.4MiB live, 178.2MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (pow.f64 n #s(literal -1 binary64)) (patch (pow.f64 n #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) (patch #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (patch (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
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#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 x) n) (patch (/.f64 (log1p.f64 x) n) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (log x) n)) (taylor 0 x) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (/ x n)) (taylor 0 x) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) (taylor 0 x) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x (log x)) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 x))) (log x)) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 x) (#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x n)) (taylor 0 x) (#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (taylor 0 x) (#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))) (taylor 0 x) (#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (/ (log x) n)) (taylor 0 x) (#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log x) n)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (/ x n)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) (patch #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- x (log x)) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) (patch #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 x))) (log x)) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) (patch #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) (patch #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log x) n)) (/ x n)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 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))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ n (log x))) (taylor 0 x) (#s(alt (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (patch (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2))))) (taylor 0 x) (#s(alt (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (patch (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (/ (log (+ 1 x)) n) (taylor -inf n) (#s(alt (/.f64 (log1p.f64 x) n) (patch (/.f64 (log1p.f64 x) n) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	n	@	-inf	((* (pow n -1) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (log x) (/ (log (+ 1 x)) n))
39.0ms	x	@	0	((* (pow n -1) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (log x) (/ (log (+ 1 x)) n))
27.0ms	n	@	0	((* (pow n -1) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (log x) (/ (log (+ 1 x)) n))
21.0ms	n	@	inf	((* (pow n -1) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (log x) (/ (log (+ 1 x)) n))
14.0ms	x	@	inf	((* (pow n -1) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (log x) (/ (log (+ 1 x)) n))

simplify248.0ms (1%)

Memory

45.4MiB live, 270.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 806×	`lower-fma.f64`
7 806×	`lower-fma.f32`
5 728×	`lower-+.f64`
5 728×	`lower-+.f32`
4 794×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	980	11471
1	3177	10861
0	8234	10027

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 406

Calls

Call 1

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

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

rewrite179.0ms (0.7%)

Memory

-28.0MiB live, 292.0MiB allocated

Rules

5 072×	`lower-fma.f64`
5 072×	`lower-fma.f32`
3 596×	`lower-*.f32`
3 594×	`lower-*.f64`
3 584×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	214
0	60	204
1	247	182
2	1655	182
0	8204	182

Stop Event

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

Counts

20 → 824

Calls

Call 1

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

Outputs
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eval184.0ms (0.8%)

Memory: 13.8MiB live, 356.5MiB allocated
Compiler: Compiled 38 627 to 3 834 computations (90.1% saved)

prune68.0ms (0.3%)

Memory

9.3MiB live, 137.4MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 338	10	1 348
Fresh	3	16	19
Picked	3	2	5
Done	0	3	3
Total	1 344	31	1 375

Accuracy

100.0%

Counts

1 375 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(/.f64 (-.f64 #s(approx (pow (+ 1 x) (/ 2 n)) #s(literal 1 binary64)) (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))))
✓	53.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	58.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	(-.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)))
	9.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	26.3%	(*.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal -1 binary64)))
	31.5%	#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))
	37.6%	#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 (exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) n)) x))
	48.6%	#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 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
✓	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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))))))
	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	44.2%	#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))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 #s(literal 0 binary64) (log.f64 x)))))) n))
	32.8%	#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))
✓	33.0%	#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))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))))))
▶	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))))
	60.8%	#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)) n)))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
▶	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
	53.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) n)))
▶	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (pow x (/ 1 n)) x) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	27.7%	#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))))
▶	44.1%	#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))))

Compiler

Compiled 967 to 712 computations (26.4% saved)

simplify168.0ms (0.7%)

Memory

2.7MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))
cost-diff	6208	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))
cost-diff	7040	(pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
cost-diff	0	(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
cost-diff	192	(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#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)))
cost-diff	0	#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))))
cost-diff	0	(*.f64 n x)
cost-diff	0	#s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
cost-diff	0	(/.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 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
cost-diff	320	(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))))
cost-diff	7168	(/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))

Rules

17 954×	`lower-fma.f32`
17 952×	`lower-fma.f64`
3 238×	`lower-*.f32`
3 230×	`lower-*.f64`
2 024×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	469
0	90	455
1	154	445
2	319	424
3	774	419
4	2083	419
5	5544	419
0	8192	415

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

localize387.0ms (1.6%)

Memory

1.0MiB live, 395.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))
accuracy	0.28382064817718555	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))
accuracy	25.617927406264414	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	26.265659503671216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))))
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
accuracy	0.109375	(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
accuracy	0.13375011388248179	(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
accuracy	27.164110308539062	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
accuracy	0.39950493220932976	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	1.1407082158526802	(/.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))
accuracy	19.743923678786416	#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)))
accuracy	27.455610417479356	#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))))
accuracy	0	(*.f64 n x)
accuracy	0.28382064817718555	(/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))
accuracy	26.265659503671216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
accuracy	34.73531608475179	#s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))
accuracy	0.234375	(/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))
accuracy	0.26171875	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))
accuracy	25.617927406264414	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	26.265659503671216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))

Samples

172.0ms	100×	2	valid
144.0ms	115×	1	valid
19.0ms	41×	0	valid

Compiler

Compiled 358 to 57 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-pow: 105.0ms (36.2% of total)

ival-div: 73.0ms (25.1% of total)

adjust: 37.0ms (12.7% of total)

ival-add: 18.0ms (6.2% of total)

ival-mult: 17.0ms (5.9% of total)

const: 10.0ms (3.4% of total)

ival-sub: 10.0ms (3.4% of total)

ival-log: 9.0ms (3.1% of total)

ival-log1p: 7.0ms (2.4% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series130.0ms (0.5%)

Memory

32.1MiB live, 190.1MiB allocated

Counts

26 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) (patch (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) n) (patch (/.f64 #s(literal -1 binary64) n) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x)))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x))) #<representation binary64>) () ())
#s(alt #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x)) (patch #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x)) #<representation binary64>) () ())
#s(alt (.f64 n x) (patch (.f64 n x) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (patch (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) (patch (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) #<representation binary64>) () ())
#s(alt (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) (patch (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (patch (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) (patch (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log x) n) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x n)) (/ (log x) n)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/2 (/ x n)) (/ 1 n))) (/ (log x) n)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (log x) n)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log x) n)) (taylor 0 x) (#s(alt (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) (patch (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (/ x n)) (taylor 0 x) (#s(alt (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) (patch (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) (taylor 0 x) (#s(alt (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) (patch (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf n) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf n) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	n	@	inf	((/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* -1 (/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (- (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) (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (+ (/ 1/3 (* x x)) 1) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow (/ -1 n) -1) (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1)) (/ 1 (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1))) (neg (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1) (/ (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (* n x)) (/ 1/3 (* x x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (neg (- (log (+ 1 x)) (log x))) -1))
24.0ms	n	@	-inf	((/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* -1 (/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (- (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) (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (+ (/ 1/3 (* x x)) 1) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow (/ -1 n) -1) (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1)) (/ 1 (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1))) (neg (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1) (/ (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (* n x)) (/ 1/3 (* x x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (neg (- (log (+ 1 x)) (log x))) -1))
19.0ms	n	@	0	((/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* -1 (/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (- (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) (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (+ (/ 1/3 (* x x)) 1) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow (/ -1 n) -1) (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1)) (/ 1 (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1))) (neg (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1) (/ (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (* n x)) (/ 1/3 (* x x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (neg (- (log (+ 1 x)) (log x))) -1))
15.0ms	x	@	inf	((/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* -1 (/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (- (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) (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (+ (/ 1/3 (* x x)) 1) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow (/ -1 n) -1) (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1)) (/ 1 (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1))) (neg (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1) (/ (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (* n x)) (/ 1/3 (* x x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (neg (- (log (+ 1 x)) (log x))) -1))
11.0ms	x	@	0	((/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* -1 (/ (/ -1 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (- (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) (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (+ (/ 1/3 (* x x)) 1) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow (/ -1 n) -1) (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1)) (/ 1 (* (pow (/ -1 n) -1) (pow (neg (- (log (+ 1 x)) (log x))) -1))) (neg (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1) (/ (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (* n x)) (/ 1/3 (* x x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (neg (- (log (+ 1 x)) (log x))) -1))

simplify205.0ms (0.9%)

Memory

-15.6MiB live, 171.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 760×	`lower-fma.f64`
8 760×	`lower-fma.f32`
5 110×	`lower-*.f64`
5 110×	`lower-*.f32`
5 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	850	9704
1	2702	9122
0	8502	8504

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

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

rewrite176.0ms (0.7%)

Memory

-2.5MiB live, 190.0MiB allocated

Rules

4 760×	`lower-*.f32`
4 752×	`lower-*.f64`
3 322×	`lower-fma.f32`
3 320×	`lower-fma.f64`
2 684×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	421
0	90	405
1	454	359
2	4684	359
0	8149	348

Stop Event

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

Counts

26 → 619

Calls

Call 1

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

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eval479.0ms (2%)

Memory: 20.4MiB live, 279.4MiB allocated
Compiler: Compiled 24 978 to 3 951 computations (84.2% saved)

prune64.0ms (0.3%)

Memory

-10.5MiB live, 111.4MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 233	12	1 245
Fresh	5	16	21
Picked	4	1	5
Done	0	5	5
Total	1 242	34	1 276

Accuracy

100.0%

Counts

1 276 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(/.f64 (-.f64 #s(approx (pow (+ 1 x) (/ 2 n)) #s(literal 1 binary64)) (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))))
✓	53.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	58.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	(-.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)))
	9.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	26.3%	(*.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal -1 binary64)))
	31.5%	#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))
	37.6%	#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 (exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) n)) x))
	48.6%	#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 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 #s(literal 1 binary64) n))) n))
✓	57.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	32.8%	#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))
✓	33.0%	#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))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))))))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) #s(approx (pow (neg (- (log (+ 1 x)) (log x))) -1) (/.f64 #s(literal 1 binary64) (log.f64 x))))))
	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))))
	31.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
✓	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
	53.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) n)))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) (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)))))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x)))))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
	41.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	27.7%	#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))))
	44.2%	#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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)))
	35.3%	#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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) x)) (*.f64 n x))))
	39.6%	#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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x))))

Compiler

Compiled 1 448 to 693 computations (52.1% saved)

regimes65.0ms (0.3%)

Memory

-4.8MiB live, 70.8MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

4 calls:

17.0ms	(/.f64 #s(literal 1 binary64) n)
17.0ms	n
15.0ms	x
12.0ms	(-.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
94.9%	2	`x`
89.4%	4	`n`
86.4%	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)))`
89.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes36.0ms (0.1%)

Memory

3.1MiB live, 41.3MiB allocated

Counts

29 → 5

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	x
8.0ms	n
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
81.9%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
87.7%	6	`n`
87.7%	5	`(/.f64 #s(literal 1 binary64) n)`
78.7%	3	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

28 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
87.7%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0%)

Memory

-28.8MiB live, 12.0MiB allocated

Counts

25 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
87.6%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes9.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

24 → 5

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
87.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes18.0ms (0.1%)

Memory

-11.4MiB live, 26.4MiB allocated

Counts

22 → 5

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	n
7.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
86.1%	6	`n`
86.1%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes29.0ms (0.1%)

Memory

2.4MiB live, 39.9MiB allocated

Counts

21 → 5

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n
5.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
68.4%	4	`x`
75.5%	7	`n`
53.9%	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)))`
73.0%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes20.0ms (0.1%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	x
6.0ms	n

Results

Accuracy	Segments	Branch
68.4%	4	`x`
67.0%	6	`n`
64.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes9.0ms (0%)

Memory

-25.0MiB live, 12.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

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))) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
64.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
64.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.1%)

Memory

-28.0MiB live, 20.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	n
5.0ms	x

Results

Accuracy	Segments	Branch
55.2%	3	`(/.f64 #s(literal 1 binary64) n)`
55.2%	3	`n`
49.6%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes11.0ms (0%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.4%	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)))`
53.7%	3	`(/.f64 #s(literal 1 binary64) n)`
53.7%	3	`n`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes7.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.1%	2	`(/.f64 #s(literal 1 binary64) n)`
52.2%	3	`n`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes29.0ms (0.1%)

Memory

-22.2MiB live, 14.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

23.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	x
3.0ms	n

Results

Accuracy	Segments	Branch
46.6%	2	`x`
48.1%	3	`n`
46.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
46.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
46.8%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(/.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
31.9%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
31.9%	1	`n`
31.9%	1	`x`
31.9%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch50.0ms (0.2%)

Memory

12.2MiB live, 49.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	3.970565407733141e-5	610.2567733037951

Samples

26.0ms	31×	2	valid
10.0ms	58×	1	valid
5.0ms	55×	0	valid
0.0ms	4×	0	exit

Compiler

Compiled 196 to 175 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 17.0ms (46.5% of total)

ival-pow: 14.0ms (38.3% of total)

adjust: 3.0ms (8.2% of total)

ival-add: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory

-33.5MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
5.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	0.0024731574170383202	11.717143470955888
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	0.0024731574170383202	11.717143470955888
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	9.336605737814556e-5	0.0013481054595397832
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	9.336605737814556e-5	0.0013481054595397832
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	3.555506445216596e-13	9.878493908051675e-9
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.34146553493541e+231	1.2985831199208353e+234
0.0ms	3.555506445216596e-13	9.878493908051675e-9
0.0ms	3.2377938258622153e-65	4.975098088402739e-62
0.0ms	-1.2094871277838045e-22	-2.8410809126293553e-26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch96.0ms (0.4%)

Memory

26.1MiB live, 107.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	3.912104913271045e+112	5.052602323785282e+114
15.0ms	3.970565407733141e-5	610.2567733037951
44.0ms	2.4685377935494758e-216	3.2711212731386887e-211

Samples

33.0ms	83×	2	valid
27.0ms	93×	1	valid
16.0ms	128×	0	valid
1.0ms	11×	0	exit

Compiler

Compiled 507 to 502 computations (1% saved)

Precisions

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

ival-pow: 50.0ms (75.3% of total)

adjust: 6.0ms (9% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory

-34.0MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.912104913271045e+112	5.052602323785282e+114
16.0ms	3.970565407733141e-5	610.2567733037951

Compiler

Compiled 363 to 358 computations (1.4% saved)

bsearch18.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.912104913271045e+112	5.052602323785282e+114
15.0ms	3.970565407733141e-5	610.2567733037951

Samples

6.0ms	19×	2	valid
4.0ms	19×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 354 to 358 computations (-1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 7.0ms (71.7% of total)

ival-div: 1.0ms (10.2% of total)

adjust: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch84.0ms (0.3%)

Memory

-9.1MiB live, 111.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	5.451857186099154e-93	8.003982328820606e-92
30.0ms	-48.309950175770894	-0.11712719524617561

Samples

40.0ms	123×	1	valid
11.0ms	15×	2	valid
10.0ms	86×	0	valid
5.0ms	58×	0	exit

Compiler

Compiled 380 to 335 computations (11.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 41.0ms (76.4% of total)

adjust: 4.0ms (7.5% of total)

ival-div: 3.0ms (5.6% of total)

ival-sub: 2.0ms (3.7% of total)

ival-add: 2.0ms (3.7% 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

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.451857186099154e-93	8.003982328820606e-92
1.0ms	-48.309950175770894	-0.11712719524617561

Compiler

Compiled 352 to 321 computations (8.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.537726852403662	-0.02069966945446229

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-42048522903.170616	-1268068239.5888646

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	-42048522903.170616	-1268068239.5888646

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-42048522903.170616	-1268068239.5888646

Compiler

Compiled 14 to 14 computations (0% saved)

simplify84.0ms (0.3%)

Memory

-9.2MiB live, 65.6MiB allocated

Algorithm

1×	egg-herbie

Rules

418×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
356×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
278×	`neg-mul-1-binary64-*.f64-neg.f64`
224×	`neg-sub0-binary64--.f64-neg.f64`
208×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	186	1959
1	212	1959
2	247	1959
3	278	1959
4	316	1959
5	354	1959
6	414	1959
7	565	1959
8	789	1959
9	972	1955
10	1187	1955
11	1287	1955
12	1401	1955
13	1518	1955
14	1620	1955
15	1670	1955
16	1686	1955
17	1687	1955

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1 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 -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1152921504606847/288230376151711744 binary64)) #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 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 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))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 1152921504606847/288230376151711744 binary64)) #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 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 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))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 7378697629483821/73786976294838206464 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 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))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 7378697629483821/73786976294838206464 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 (-.f64 #s(literal 1 binary64) n) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 #s(literal 1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/42535295865117307932921825928971026432 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (* 2 (/ 1/2 n)) -1) (/.f64 #s(literal 1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5928554968950589/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #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)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 n x))))))))
(if (<=.f64 x #s(literal 8149203853629209/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) #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)) (if (<=.f64 x #s(literal 139999999999999998760739000651901891565513465697665217307440645489672297447799225941546393339081762637929540222976 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) #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)) (if (<=.f64 x #s(literal 139999999999999998760739000651901891565513465697665217307440645489672297447799225941546393339081762637929540222976 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) #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)) (if (<=.f64 x #s(literal 139999999999999998760739000651901891565513465697665217307440645489672297447799225941546393339081762637929540222976 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 n #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x))))) (if (<=.f64 n #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x)))))))
(if (<=.f64 n #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x)))) (if (<=.f64 n #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (pow x (/ 1 n)) x) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs
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(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) #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)) (if (<=.f64 x #s(literal 139999999999999998760739000651901891565513465697665217307440645489672297447799225941546393339081762637929540222976 binary64)) #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 n #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x))))) (if (<=.f64 n #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x)))))))
(if (<=.f64 n #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x)))) (if (<=.f64 n #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x))))))
(if (<=.f64 n #s(literal -6980579422424269/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x)))) (if (<=.f64 n #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5 binary64)) #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 #s(approx (- (+ (/ 1/3 (* x x)) 1) (/ 1/2 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (pow x (/ 1 n)) x) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

soundness1.7s (7%)

Memory

-69.6MiB live, 1 100.9MiB allocated

Rules

13 074×	`lower-fma.f64`
13 074×	`lower-fma.f32`
9 150×	`lower-fma.f64`
9 150×	`lower-fma.f32`
8 760×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	949	11469
1	3001	10829
0	8320	10257
0	980	11471
1	3177	10861
0	8234	10027
0	850	9704
1	2702	9122
0	8502	8504
0	42	389
0	70	389
1	334	363
2	3736	363
0	8235	353
0	263	1688
1	761	1578
2	2116	1504
3	7452	1498
0	8737	1380
0	40	214
0	60	204
1	247	182
2	1655	182
0	8204	182

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 348 to 731 computations (45.8% saved)

preprocess142.0ms (0.6%)

Memory: 20.4MiB live, 214.1MiB allocated
Compiler: Compiled 1 506 to 308 computations (79.5% 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%)

analyze519.0ms (2.2%)

sample14.8s (61.5%)

explain295.0ms (1.2%)

preprocess57.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize87.0ms (0.4%)

series84.0ms (0.4%)

simplify217.0ms (0.9%)

rewrite148.0ms (0.6%)

eval87.0ms (0.4%)

prune24.0ms (0.1%)

simplify312.0ms (1.3%)

localize291.0ms (1.2%)

series466.0ms (1.9%)

simplify507.0ms (2.1%)

rewrite169.0ms (0.7%)

eval411.0ms (1.7%)

prune154.0ms (0.6%)

simplify85.0ms (0.4%)

localize343.0ms (1.4%)

series216.0ms (0.9%)

simplify248.0ms (1%)

rewrite179.0ms (0.7%)

eval184.0ms (0.8%)

prune68.0ms (0.3%)

simplify168.0ms (0.7%)

localize387.0ms (1.6%)

series130.0ms (0.5%)

simplify205.0ms (0.9%)

rewrite176.0ms (0.7%)

eval479.0ms (2%)

prune64.0ms (0.3%)

regimes65.0ms (0.3%)

regimes36.0ms (0.1%)

regimes10.0ms (0%)

regimes12.0ms (0%)

regimes9.0ms (0%)

regimes18.0ms (0.1%)

regimes29.0ms (0.1%)

regimes20.0ms (0.1%)

regimes9.0ms (0%)

regimes6.0ms (0%)

regimes22.0ms (0.1%)

regimes11.0ms (0%)

regimes7.0ms (0%)

regimes29.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch50.0ms (0.2%)

bsearch6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch96.0ms (0.4%)

bsearch18.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch84.0ms (0.3%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify84.0ms (0.3%)

soundness1.7s (7%)

preprocess142.0ms (0.6%)

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