Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze201.0ms (0.9%)

Memory

6.9MiB live, 323.1MiB 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)

sample14.9s (64.5%)

Memory

137.3MiB live, 15 152.3MiB allocated

Samples

9.5s	4 935×	5	exit
1.6s	2 739×	2	valid
885.0ms	2 852×	1	valid
500.0ms	2 256×	1	exit
370.0ms	2 665×	0	valid
183.0ms	1 577×	0	exit
24.0ms	10×	4	exit
1.0ms	2×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 11.8s

ival-pow: 9.3s (79% of total)

adjust: 1.2s (10.3% of total)

ival-add: 475.0ms (4% of total)

ival-div: 463.0ms (3.9% of total)

ival-sub: 291.0ms (2.5% of total)

ival-true: 14.0ms (0.1% of total)

exact: 11.0ms (0.1% of total)

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

Bogosity

explain255.0ms (1.1%)

Memory

-10.2MiB live, 459.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
117	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)))`
32	32	(5.440509799207125e-269 1.2583406360102376e-190)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	115	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	64	0
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	nan-rescue	2	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	15
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	31
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	136	0
-	46	74

Precision

0.7472527472527473

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	46	0	74

Precision?

0.7472527472527473

Recall?

1.0

Freqs

test

number	freq
0	74
1	182

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms	246×	1	valid
82.0ms	166×	2	valid
9.0ms	100×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-pow: 103.0ms (69.9% of total)

ival-sub: 15.0ms (10.2% of total)

adjust: 14.0ms (9.5% of total)

ival-div: 9.0ms (6.1% of total)

ival-add: 5.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess40.0ms (0.2%)

Memory

0.8MiB live, 72.3MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.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

18.1MiB live, 18.1MiB 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))

localize360.0ms (1.6%)

Memory

-219.2MiB live, 237.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.026064161492076153	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	6.7214786019498485	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	26.306032057351107	(-.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

310.0ms	83×	2	valid
35.0ms	123×	1	valid
8.0ms	50×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

adjust: 283.0ms (83.8% of total)

ival-pow: 42.0ms (12.4% of total)

ival-div: 5.0ms (1.5% of total)

ival-sub: 4.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series104.0ms (0.5%)

Memory

-11.2MiB live, 82.9MiB 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>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
22.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
8.0ms	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)))
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)))

simplify186.0ms (0.8%)

Memory

21.1MiB live, 209.9MiB 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)
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.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 (/.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) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) 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 (/ (+ (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) (* -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)))
(-.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.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))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n))) (neg.f64 n))) n)) (neg.f64 n))
1
#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))

rewrite162.0ms (0.7%)

Memory

-10.7MiB live, 146.0MiB 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
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
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(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) n) #s(literal -3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) n) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) n) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) n) (pow.f64 n #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) n) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) n) (.f64 #s(literal 2 binary64) n)))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n) (.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) n) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal -1 binary64))) (.f64 (.f64 #s(literal 2 binary64) n) (.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) n) (pow.f64 n #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (.f64 (.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 n n)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 n #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x x) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 x (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))

eval89.0ms (0.4%)

Memory: -5.8MiB live, 108.4MiB allocated
Compiler: Compiled 11 717 to 1 475 computations (87.4% saved)

prune19.0ms (0.1%)

Memory

13.6MiB live, 52.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	469	13	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	13	483

Accuracy

99.8%

Counts

483 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(-.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)))
▶	58.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.9%	(-.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)))
	31.6%	(-.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)))
▶	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.3%	#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))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	40.9%	#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))
▶	66.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
▶	54.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 600 to 376 computations (37.3% saved)

simplify149.0ms (0.6%)

Memory

1.7MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 x)
cost-diff	0	(/.f64 (log1p.f64 x) n)
cost-diff	0	(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(expm1.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 x n)
cost-diff	0	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) 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	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	(/.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)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
cost-diff	12608	(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)))

Rules

8 298×	`lower-fma.f32`
8 296×	`lower-fma.f64`
2 828×	`lower-*.f64`
2 828×	`lower-*.f32`
2 414×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	279
0	59	279
1	90	279
2	135	279
3	257	279
4	672	276
5	2505	276
6	5808	276
0	8136	273

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 (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))
(/.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)
(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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 x) (log.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))
#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 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
x
n
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)
(*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(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)))
(*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 x) (log.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))
#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 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
x
n
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)

localize257.0ms (1.1%)

Memory

18.1MiB live, 358.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.026064161492076153	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.07421875	(/.f64 (log1p.f64 x) n)
accuracy	26.306032057351107	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.0078125	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
accuracy	0.0234375	(expm1.f64 (/.f64 (log.f64 x) n))
accuracy	0.23828125	(/.f64 (log.f64 x) n)
accuracy	29.033463896979892	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
accuracy	0.00390625	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy	0.026064161492076153	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.12109375	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy	29.336388560081677	#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	0.026064161492076153	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	17.074643807066057	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	26.306032057351107	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.484375	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	22.753940251600934	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
accuracy	24.194407843650158	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.21187969612108	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

108.0ms	157×	1	valid
106.0ms	83×	2	valid
4.0ms	16×	0	valid

Compiler

Compiled 268 to 31 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-pow: 42.0ms (23.9% of total)

adjust: 40.0ms (22.8% of total)

ival-div: 29.0ms (16.5% of total)

ival-log1p: 13.0ms (7.4% of total)

ival-sub: 12.0ms (6.8% of total)

ival-pow2: 10.0ms (5.7% of total)

ival-log: 10.0ms (5.7% of total)

ival-exp: 7.0ms (4% of total)

ival-add: 5.0ms (2.8% of total)

ival-mult: 3.0ms (1.7% of total)

ival-expm1: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series207.0ms (0.9%)

Memory

-8.7MiB live, 275.9MiB allocated

Counts

23 → 492

Calls

Call 1

Inputs
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (patch (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #<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 #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) #<representation binary64>) () ())
#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())
#s(alt (expm1.f64 (/.f64 (log.f64 x) n)) (patch (expm1.f64 (/.f64 (log.f64 x) n)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (exp.f64 (/.f64 (log1p.f64 x) n)) (patch (exp.f64 (/.f64 (log1p.f64 x) n)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 x) n) (patch (/.f64 (log1p.f64 x) n) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 x) n) (patch (/.f64 (log.f64 x) n) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	n	@	0	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (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) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n))
31.0ms	n	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (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) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n))
27.0ms	n	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (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) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n))
24.0ms	x	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (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) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n))
19.0ms	x	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (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) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n))

simplify190.0ms (0.8%)

Memory

7.3MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 710×	`lower-fma.f64`
7 710×	`lower-fma.f32`
4 874×	`lower-+.f64`
4 874×	`lower-+.f32`
3 898×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	832	10181
1	2582	9531
2	7466	9509
0	8080	8805

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

Calls

Call 1

Inputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(- 1 (exp (/ (log x) n)))
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(- (+ 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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
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(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
(- 1 (exp (/ (log x) n)))
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1
(+ 1 (/ x n))
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(/ (exp (/ (log x) n)) (* n x))
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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)))) (exp (/ (log x) 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)))) (exp (/ (log x) n)))
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1
(+ 1 (/ x 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))))
(/ 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)))
x
(* x (+ 1 (* -1/2 x)))
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(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log x))
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(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) 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))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(/ (log (+ 1 x)) n)
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(/ (log (+ 1 x)) n)
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(/ (log x) n)
(/ (log x) n)

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

rewrite174.0ms (0.8%)

Memory

33.0MiB live, 185.5MiB allocated

Rules

5 554×	`lower-*.f64`
5 554×	`lower-*.f32`
3 984×	`lower-fma.f32`
3 982×	`lower-fma.f64`
3 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	238
0	59	228
1	272	228
2	2019	228
0	8321	228

Stop Event

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

Counts

23 → 721

Calls

Call 1

Inputs
(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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
(/.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)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) 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))
(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)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (log.f64 x) n)

Outputs
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (neg.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 (log1p.f64 x) (neg.f64 (log.f64 x))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 n) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))
(/.f64 (fma.f64 (.f64 (neg.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)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (.f64 (neg.f64 n) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))))
(/.f64 (fma.f64 (.f64 (neg.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)) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) (*.f64 (neg.f64 n) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (neg.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 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) (.f64 (neg.f64 n) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (neg.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 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (.f64 (neg.f64 n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (neg.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 n) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (neg.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)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (neg.f64 n) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (fma.f64 (.f64 (neg.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 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (/.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (.f64 (neg.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 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (neg.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 (log.f64 x) (log1p.f64 x)) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 n) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) (.f64 (neg.f64 n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (.f64 (neg.f64 n) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) (*.f64 (neg.f64 n) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (log.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (log.f64 x) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (log.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 x)) (pow.f64 (neg.f64 n) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n) #s(literal 0 binary64))
(fma.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 0 binary64))
(exp.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (*.f64 (log.f64 n) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) #s(literal -1 binary64)))
(log.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))

eval267.0ms (1.2%)

Memory: 10.4MiB live, 349.7MiB allocated
Compiler: Compiled 38 228 to 4 673 computations (87.8% saved)

prune79.0ms (0.3%)

Memory

-31.3MiB live, 178.7MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 434	24	1 458
Fresh	1	7	8
Picked	2	3	5
Done	0	0	0
Total	1 437	34	1 471

Accuracy

100.0%

Counts

1 471 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(-.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)))
	23.6%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	50.3%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	22.9%	(-.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)))
	31.6%	(-.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)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
▶	30.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	32.3%	#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))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	40.9%	#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))
	66.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n))
	66.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)))) n))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	42.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) n (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n)))
	53.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
	54.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
✓	54.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	36.1%	#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))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	64.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log 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 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
	30.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
▶	66.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))
	42.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
▶	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
▶	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x)))))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 x) n))))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 (/.f64 n (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) #s(literal -1 binary64))))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
	4.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))

Compiler

Compiled 1 398 to 889 computations (36.4% saved)

simplify162.0ms (0.7%)

Memory

40.6MiB live, 191.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
cost-diff	6080	(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	12928	(pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 x n)
cost-diff	0	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	704	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
cost-diff	6080	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow x (/ 1 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	(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))
cost-diff	0	(/.f64 (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)) n)
cost-diff	0	(-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))

Rules

9 858×	`lower-fma.f32`
9 852×	`lower-fma.f64`
2 684×	`lower-*.f32`
2 680×	`lower-*.f64`
2 578×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	430
0	87	406
1	135	394
2	228	394
3	475	394
4	972	390
5	2086	390
6	4326	387
7	6687	387
0	8141	380

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 (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)) n) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))
(/.f64 (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)) n)
(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))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(/.f64 (log.f64 x) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))
(/.f64 x n)
x
n
(expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
#s(literal 1 binary64)
(/.f64 n (log.f64 x))
(log.f64 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 x n)
x
n
(expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) n) (/.f64 (log.f64 x) n))
(/.f64 (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)) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) n)
(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))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(/.f64 (log.f64 x) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x n) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x n) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x n) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x n) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
x
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
x
n
(expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (log.f64 x) n)
#s(literal 1 binary64)
(/.f64 n (log.f64 x))
(log.f64 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #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))))
(-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
x
n
(expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(expm1.f64 (/.f64 (log.f64 x) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 x) n)
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(log.f64 x)
(pow.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)

localize473.0ms (2.1%)

Memory

-54.2MiB live, 450.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(pow.f64 (log.f64 x) #s(literal -1 binary64))
accuracy	0.2890625	(pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.33822250976844204	(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	29.033463896979892	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
accuracy	0.0234375	(expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))
accuracy	0.25390625	(/.f64 n (log.f64 x))
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
accuracy	29.033463896979892	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
accuracy	1.4414472788310333	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	4.581951676632813	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
accuracy	26.306032057351107	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	29.393950916033564	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	17.074643807066057	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	26.306032057351107	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	26.826603771571005	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	0.484375	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	11.920190148099383	(-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))
accuracy	22.753940251600934	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))
accuracy	24.194407843650158	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

169.0ms	154×	1	valid
150.0ms	86×	2	valid
38.0ms	16×	0	valid

Compiler

Compiled 371 to 43 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-pow: 137.0ms (43.4% of total)

ival-pow2: 44.0ms (13.9% of total)

adjust: 35.0ms (11.1% of total)

ival-div: 30.0ms (9.5% of total)

ival-sub: 18.0ms (5.7% of total)

ival-mult: 14.0ms (4.4% of total)

ival-log: 12.0ms (3.8% of total)

ival-log1p: 10.0ms (3.2% of total)

ival-add: 10.0ms (3.2% of total)

ival-expm1: 6.0ms (1.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series443.0ms (1.9%)

Memory

22.5MiB live, 138.2MiB allocated

Counts

24 → 528

Calls

Call 1

Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)) (patch (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)) #<representation binary64>) () ())
#s(alt (/.f64 (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)) n) (patch (/.f64 (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)) n) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<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 (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) #<representation binary64>) () ())
#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) #<representation binary64>) () ())
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#s(alt (pow.f64 (log.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
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#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 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 x) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (/ x n) (taylor -inf n) (#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())) ())
#s(alt (/ x n) (taylor -inf n) (#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())) ())
#s(alt (/ x n) (taylor -inf n) (#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())) ())
#s(alt (/ x n) (taylor -inf n) (#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())) ())
#s(alt (/ (log x) n) (taylor -inf n) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) n) (taylor -inf n) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) n) (taylor -inf n) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log x) n) (taylor -inf n) (#s(alt (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#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 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #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 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #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 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 x) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) (patch (-.f64 (/.f64 x n) (expm1.f64 (.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ n (log x)) (taylor -inf n) (#s(alt (/.f64 n (log.f64 x)) (patch (/.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ n (log x)) (taylor -inf n) (#s(alt (/.f64 n (log.f64 x)) (patch (/.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ n (log x)) (taylor -inf n) (#s(alt (/.f64 n (log.f64 x)) (patch (/.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ n (log x)) (taylor -inf n) (#s(alt (/.f64 n (log.f64 x)) (patch (/.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (log x) n) (taylor -inf n) (#s(alt (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) (patch (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)) (taylor -inf n) (#s(alt (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) (patch (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)) (taylor -inf n) (#s(alt (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) (patch (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (pow (log x) 2))) n))) n)) (taylor -inf n) (#s(alt (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) (patch (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
306.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 (/ n (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ 1 (/ n (log x)))) 1)) (/ x n) (pow (pow (log x) -1) -1) (* (pow n -1) (pow (pow (log x) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (* (pow n -1) (pow (pow (log x) -1) -1))) 1)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ n (log x)) (- (exp (/ 1 (/ n (log x)))) 1) (pow (log x) -1))
37.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 (/ n (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ 1 (/ n (log x)))) 1)) (/ x n) (pow (pow (log x) -1) -1) (* (pow n -1) (pow (pow (log x) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (* (pow n -1) (pow (pow (log x) -1) -1))) 1)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ n (log x)) (- (exp (/ 1 (/ n (log x)))) 1) (pow (log x) -1))
13.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 (/ n (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ 1 (/ n (log x)))) 1)) (/ x n) (pow (pow (log x) -1) -1) (* (pow n -1) (pow (pow (log x) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (* (pow n -1) (pow (pow (log x) -1) -1))) 1)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ n (log x)) (- (exp (/ 1 (/ n (log x)))) 1) (pow (log x) -1))
12.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 (/ n (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ 1 (/ n (log x)))) 1)) (/ x n) (pow (pow (log x) -1) -1) (* (pow n -1) (pow (pow (log x) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (* (pow n -1) (pow (pow (log x) -1) -1))) 1)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ n (log x)) (- (exp (/ 1 (/ n (log x)))) 1) (pow (log x) -1))
12.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 (/ n (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ 1 (/ n (log x)))) 1)) (/ x n) (pow (pow (log x) -1) -1) (* (pow n -1) (pow (pow (log x) -1) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (* (pow n -1) (pow (pow (log x) -1) -1))) 1)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ n (log x)) (- (exp (/ 1 (/ n (log x)))) 1) (pow (log x) -1))

simplify255.0ms (1.1%)

Memory

-19.6MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 536×	`lower-fma.f64`
7 536×	`lower-fma.f32`
4 906×	`lower-+.f64`
4 906×	`lower-+.f32`
3 476×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	719	10487
1	2217	9836
2	6445	9698
0	8079	8954

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

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

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

rewrite262.0ms (1.1%)

Memory

21.5MiB live, 179.7MiB allocated

Rules

3 768×	`lower-*.f32`
3 764×	`lower-*.f64`
3 632×	`lower-fma.f32`
3 626×	`lower-fma.f64`
3 428×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	343
0	87	311
1	410	287
2	3310	287
0	8106	287

Stop Event

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

Counts

24 → 587

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n))
(/.f64 (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)) n)
(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))
(-.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))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))
(/.f64 x n)
(pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 n (log.f64 x))
(expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal -1 binary64))

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

eval253.0ms (1.1%)

Memory: 13.9MiB live, 208.9MiB allocated
Compiler: Compiled 28 036 to 3 206 computations (88.6% saved)

prune87.0ms (0.4%)

Memory

3.7MiB live, 160.2MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1 146	11	1 157
Fresh	6	20	26
Picked	3	2	5
Done	0	3	3
Total	1 155	36	1 191

Accuracy

100.0%

Counts

1 191 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(-.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)))
	50.3%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	8.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	26.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.6%	(-.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 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
✓	30.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	32.3%	#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))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	40.9%	#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))
▶	66.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
▶	53.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
✓	54.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	36.1%	#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))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.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) (log1p.f64 x)) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	64.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log 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 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
▶	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
	30.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
	42.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
✓	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) n)))))
	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)))))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 x) n))))
	36.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) n) (/.f64 #s(literal 1 binary64) n)) x)))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
▶	4.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))

Compiler

Compiled 1 357 to 911 computations (32.9% saved)

simplify136.0ms (0.6%)

Memory

5.1MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)))
cost-diff	0	(/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
cost-diff	6272	(-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))
cost-diff	0	(*.f64 n x)
cost-diff	0	(pow.f64 n #s(literal -1 binary64))
cost-diff	0	(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
cost-diff	0	(/.f64 x n)
cost-diff	0	(+.f64 (/.f64 x n) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
cost-diff	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)))
cost-diff	0	(/.f64 x n)
cost-diff	0	#s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
cost-diff	12608	(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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
cost-diff	25920	(/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))

Rules

12 894×	`lower-fma.f32`
12 892×	`lower-fma.f64`
3 290×	`lower-*.f32`
3 286×	`lower-*.f64`
2 100×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	474
0	85	474
1	126	474
2	183	445
3	368	426
4	1056	409
5	3851	409
0	8201	395

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

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

localize474.0ms (2.1%)

Memory

-23.5MiB live, 561.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
accuracy	0.484375	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	22.753940251600934	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
accuracy	26.508492158347618	#s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)))
accuracy	0.00390625	(pow.f64 n #s(literal -1 binary64))
accuracy	0.026064161492076153	(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
accuracy	4.438632466965713	(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))
accuracy	29.336388560081677	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
accuracy	0	(+.f64 (/.f64 x n) #s(literal 1 binary64))
accuracy	0.026064161492076153	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	26.306032057351107	(-.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)))
accuracy	26.393210626111053	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
accuracy	0	(/.f64 x n)
accuracy	29.033463896979892	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
accuracy	33.33647692527375	#s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n))
accuracy	0.33822250976844204	(/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
accuracy	0.484375	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	22.753940251600934	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n))
accuracy	24.194407843650158	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

131.0ms	157×	1	valid
98.0ms	83×	2	valid
7.0ms	16×	0	valid

Compiler

Compiled 383 to 41 computations (89.3% saved)

Precisions

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

ival-pow: 54.0ms (27.8% of total)

ival-div: 36.0ms (18.6% of total)

adjust: 30.0ms (15.5% of total)

ival-log1p: 15.0ms (7.7% of total)

ival-add: 13.0ms (6.7% of total)

ival-log: 12.0ms (6.2% of total)

ival-sub: 11.0ms (5.7% of total)

ival-pow2: 11.0ms (5.7% of total)

ival-mult: 8.0ms (4.1% of total)

ival-expm1: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series140.0ms (0.6%)

Memory

24.3MiB live, 274.0MiB allocated

Counts

23 → 492

Calls

Call 1

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

Outputs
#s(alt (/ -1 (log x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ x (pow (log x) 2))) (/ 1 (log x))) (taylor 0 x) (#s(alt (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) (taylor 0 x) (#s(alt (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (+ (* 1/2 (/ 1 (pow (log x) 2))) (* x (- (/ 1 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4)))))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x))) (taylor 0 x) (#s(alt (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) (taylor 0 x) (#s(alt (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (patch (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) (taylor 0 x) (#s(alt (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (patch (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) (taylor 0 x) (#s(alt (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (patch (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) (taylor 0 x) (#s(alt (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (patch (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (log x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) (taylor -inf n) (#s(alt #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) (patch #s(approx (+ ( (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) (taylor -inf n) (#s(alt #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) (patch #s(approx (+ ( (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) (taylor -inf n) (#s(alt #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) (patch #s(approx (+ ( (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#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 (+ 1 (/ (log x) n)) (taylor -inf n) (#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 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) (taylor -inf n) (#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 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) (taylor -inf n) (#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 (/ 1 (* n x)) (taylor -inf n) (#s(alt (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) (patch (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) (taylor -inf n) (#s(alt (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) (patch (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) (taylor -inf n) (#s(alt (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) (patch (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) (taylor -inf n) (#s(alt (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) (patch (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (.f64 n x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (log x) 2) n) (taylor -inf n) (#s(alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (patch (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (/ (pow (log x) 2) n) (taylor -inf n) (#s(alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (patch (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (/ (pow (log x) 2) n) (taylor -inf n) (#s(alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (patch (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (/ (pow (log x) 2) n) (taylor -inf n) (#s(alt (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (patch (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (pow n -1)) (pow n -1) (* n x) (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 1 n)) (/ (pow x (pow n -1)) (* n x)) (/ (pow (log x) 2) n))
24.0ms	x	@	-inf	((/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (pow n -1)) (pow n -1) (* n x) (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 1 n)) (/ (pow x (pow n -1)) (* n x)) (/ (pow (log x) 2) n))
13.0ms	n	@	-inf	((/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (pow n -1)) (pow n -1) (* n x) (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 1 n)) (/ (pow x (pow n -1)) (* n x)) (/ (pow (log x) 2) n))
13.0ms	n	@	inf	((/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (pow n -1)) (pow n -1) (* n x) (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 1 n)) (/ (pow x (pow n -1)) (* n x)) (/ (pow (log x) 2) n))
12.0ms	n	@	0	((/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (pow n -1)) (pow n -1) (* n x) (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 1 n)) (/ (pow x (pow n -1)) (* n x)) (/ (pow (log x) 2) n))

simplify229.0ms (1%)

Memory

-20.5MiB live, 288.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 112×	`lower-fma.f64`
8 112×	`lower-fma.f32`
7 304×	`lower-+.f64`
7 304×	`lower-+.f32`
4 326×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1063	14144
1	3407	13366
0	8698	12440

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

Calls

Call 1

Inputs
(/ -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 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4)))))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(* -1 (log x))
(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 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 (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 n)) (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(/ x n)
(/ x n)
(/ x n)
(/ 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
(+ 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 n))
(+ 1 (/ x n))
(+ 1 (/ 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)))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(* n x)
(* n x)
(* n x)
(* n x)
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(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))
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)
x
(* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) x))))
(* x (- (+ 1 (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (* (+ 1 (log (/ 1 x))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (/ 1/2 (* x (log (/ 1 x)))))))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (log (/ 1 x))) (- (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (log (/ 1 x)))) (* 1/2 (/ (* (+ 1 (log (/ 1 x))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x)))))) (log (/ 1 x))))))) (log (/ 1 x)))) (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/6 (/ 1 (log (/ 1 x)))) (* 1/2 (/ (* (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (- (* -2/3 (log (/ 1 x))) 1)) (log (/ 1 x))))))) (pow x 3))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x))))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (* (+ 1 (log (/ 1 x))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (/ 1/2 (* x (log (/ 1 x)))))))))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
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(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(* -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))
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
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)))
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)
(/ (pow (log x) 2) n)

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

rewrite211.0ms (0.9%)

Memory

35.4MiB live, 228.4MiB allocated

Rules

4 892×	`lower-/.f32`
4 874×	`lower-/.f64`
4 412×	`lower-fma.f32`
4 410×	`lower-fma.f64`
3 894×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	381
0	85	349
1	355	322
2	2777	322
0	9135	318

Stop Event

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

Counts

23 → 643

Calls

Call 1

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

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

eval190.0ms (0.8%)

Memory: 5.2MiB live, 306.2MiB allocated
Compiler: Compiled 38 482 to 4 448 computations (88.4% saved)

prune76.0ms (0.3%)

Memory

-11.3MiB live, 187.2MiB allocated

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1 258	10	1 268
Fresh	2	24	26
Picked	2	3	5
Done	0	5	5
Total	1 262	42	1 304

Accuracy

100.0%

Counts

1 304 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(-.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)))
	50.3%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	8.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	26.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.6%	(-.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 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	31.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
✓	30.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	32.3%	#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))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	40.9%	#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))
	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) n))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) #s(approx (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (neg.f64 (log.f64 x))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 x))) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (log.f64 x)))))) x)))) n))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	53.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
✓	54.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	36.1%	#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))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.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) (log1p.f64 x)) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	35.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
✓	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
	37.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (/.f64 (fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))
	33.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n))
	30.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
	61.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
	42.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
✓	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) n)))))
	54.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)))))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 x) n))))
	36.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
✓	4.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
	4.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
	4.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))

Compiler

Compiled 2 057 to 895 computations (56.5% saved)

regimes90.0ms (0.4%)

Memory

7.4MiB live, 106.3MiB allocated

Counts

59 → 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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.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))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.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 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (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))) #s(approx (- (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) n) (/ (log x) n)) (/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) n) (/.f64 #s(literal 1 binary64) n)) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #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(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#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 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (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 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x)))))
(-.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 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (/.f64 (fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 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 (-.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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log 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 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (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)) n) (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (-.f64 (pow.f64 (/.f64 x n) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.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) (log1p.f64 x)) (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x)))))
#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 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (neg.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) n (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #s(literal 1 binary64) #s(approx (/ (+ (log x) (log (+ 1 x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (neg.f64 (log.f64 x))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 x))) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (log.f64 x)))))) x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 (/.f64 n (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))))) #s(literal -1 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:

36.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.0ms	n
16.0ms	(/.f64 #s(literal 1 binary64) n)
16.0ms	x

Results

Accuracy	Segments	Branch
93.7%	2	`x`
89.3%	4	`n`
87.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
87.8%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes57.0ms (0.2%)

Memory

-4.0MiB live, 34.4MiB allocated

Counts

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

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

Calls

4 calls:

32.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n
8.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
83.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
86.1%	5	`n`
86.1%	4	`(/.f64 #s(literal 1 binary64) n)`
75.2%	3	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes31.0ms (0.1%)

Memory

8.7MiB live, 46.1MiB allocated

Counts

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
75.2%	3	`x`
70.9%	4	`n`
66.9%	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)))`
72.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes9.0ms (0%)

Memory

-29.7MiB live, 11.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

6.9MiB live, 6.9MiB 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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.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))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.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 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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)))

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
74.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
59.0%	5	`n`
61.7%	6	`(/.f64 #s(literal 1 binary64) n)`
65.1%	4	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0%)

Memory

-30.6MiB live, 7.8MiB allocated

Counts

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

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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
#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))
(-.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:

6.0ms

Results

Accuracy	Segments	Branch
65.1%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

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

Outputs

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

#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))

(-.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:

4.0ms

Results

Accuracy	Segments	Branch
63.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

6.7MiB live, 6.8MiB 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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.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))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n))

Outputs

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

#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))

(-.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:

4.0ms

Results

Accuracy	Segments	Branch
63.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

-17.8MiB live, 20.5MiB allocated

Counts

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

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))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
44.8%	3	`n`
46.0%	3	`(/.f64 #s(literal 1 binary64) n)`
41.0%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.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))

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

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.4%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (pow n -1)) (* n x)) (/.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 (pow n -1)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.4%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
44.2%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes6.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -17.3b remaining (-39.1%)

Threshold costs -17.3b (-39.1%)

Counts

2 → 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)))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.6%	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)))`
30.6%	1	`x`
30.6%	1	`n`
30.6%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch40.0ms (0.2%)

Memory

0.7MiB live, 38.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	0.030830082376078524	7292.217253624404

Samples

14.0ms	44×	2	valid
12.0ms	57×	1	valid
4.0ms	43×	0	valid
1.0ms	16×	0	exit

Compiler

Compiled 196 to 175 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 16.0ms (66.1% of total)

adjust: 3.0ms (12.4% of total)

ival-div: 2.0ms (8.3% of total)

ival-add: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	10505867.8038238	94094419.73837337
0.0ms	7.302418044014098e-41	1.0111987844745568e-40
0.0ms	-4.079138768312136e-58	-6.69654458556087e-64

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch34.0ms (0.1%)

Memory

-9.8MiB live, 30.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.3357849958664937e-7	0.00031168675764807545
0.0ms	1.7262306676240266e-223	1.7332291571290674e-223

Samples

13.0ms	26×	2	valid
8.0ms	46×	1	valid
6.0ms	56×	0	valid

Compiler

Compiled 176 to 157 computations (10.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 17.0ms (74.3% of total)

ival-div: 2.0ms (8.7% of total)

adjust: 2.0ms (8.7% of total)

ival-add: 1.0ms (4.4% of total)

ival-sub: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3357849958664937e-7	0.00031168675764807545
0.0ms	1.7262306676240266e-223	1.7332291571290674e-223

Compiler

Compiled 176 to 157 computations (10.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3357849958664937e-7	0.00031168675764807545
0.0ms	1.7262306676240266e-223	1.7332291571290674e-223

Compiler

Compiled 176 to 157 computations (10.8% saved)

bsearch63.0ms (0.3%)

Memory

-16.3MiB live, 59.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	1.3463698644465173e+129	2.2962683688843933e+131
22.0ms	1.3357849958664937e-7	0.00031168675764807545
0.0ms	1.7262306676240266e-223	1.7332291571290674e-223

Samples

27.0ms	76×	2	valid
13.0ms	53×	1	valid
7.0ms	79×	0	valid
1.0ms	17×	0	exit

Compiler

Compiled 236 to 254 computations (-7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow: 26.0ms (64.4% of total)

adjust: 7.0ms (17.3% of total)

ival-div: 3.0ms (7.4% of total)

ival-add: 2.0ms (5% of total)

ival-sub: 2.0ms (5% 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

3.0MiB live, 3.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.3463698644465173e+129	2.2962683688843933e+131
1.0ms	1.3357849958664937e-7	0.00031168675764807545
0.0ms	1.7262306676240266e-223	1.7332291571290674e-223

Compiler

Compiled 220 to 246 computations (-11.8% saved)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3463698644465173e+129	2.2962683688843933e+131
1.0ms	1.3357849958664937e-7	0.00031168675764807545

Compiler

Compiled 220 to 246 computations (-11.8% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3463698644465173e+129	2.2962683688843933e+131
1.0ms	1.3357849958664937e-7	0.00031168675764807545

Compiler

Compiled 220 to 254 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.0003958944173955e-11	4.432895010848838
0.0ms	-733048083851.8271	-0.5010381069064914

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	-733048083851.8271	-0.5010381069064914

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	-733048083851.8271	-0.5010381069064914

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	-733048083851.8271	-0.5010381069064914

Compiler

Compiled 14 to 14 computations (0% saved)

simplify30.0ms (0.1%)

Memory

4.5MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative-binary64-+.f64`
38×	`sub-neg-binary64-neg.f64-+.f64--.f64`
18×	`-commutative-binary64-.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1065
1	167	1065
2	195	1065
3	210	1065
4	218	1065
5	219	1065

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 -2826955303645415/7067388259113537318333190002971674063309935587502475832486424805170479104 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 1225996432692711/12259964326927110866866776217202473468949912977468817408 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 20000000 binary64)) #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 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.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 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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)))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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)))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 x) n)))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n)) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/77371252455336267181195264 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)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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 -500000000000 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 (pow n -1)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.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
(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 -2826955303645415/7067388259113537318333190002971674063309935587502475832486424805170479104 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 1225996432692711/12259964326927110866866776217202473468949912977468817408 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 20000000 binary64)) #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 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.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 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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)))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 700976274800963/36893488147419103232 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 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)))))
(if (<=.f64 x #s(literal 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) #s(approx (- (exp (/ (log x) n)) 1) (/.f64 (log.f64 x) n)))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 4506119128469589/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.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 5718490662849961/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) #s(approx (- (* (/ (pow (log x) 2) n) -1/2) (log x)) (neg.f64 (log.f64 x)))) n)) (if (<=.f64 x #s(literal 34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 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)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/77371252455336267181195264 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)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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 -500000000000 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 (pow n -1)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -500000000000 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(approx (pow x (pow n -1)) #s(literal 1 binary64)) (*.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)))

soundness1.5s (6.4%)

Memory

20.5MiB live, 1 169.7MiB allocated

Rules

13 074×	`lower-fma.f64`
13 074×	`lower-fma.f32`
8 112×	`lower-fma.f64`
8 112×	`lower-fma.f32`
7 710×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	832	10181
1	2582	9531
2	7466	9509
0	8080	8805
0	58	381
0	85	349
1	355	322
2	2777	322
0	9135	318
0	719	10487
1	2217	9836
2	6445	9698
0	8079	8954
0	263	1688
1	761	1578
2	2116	1504
3	7452	1498
0	8737	1380
0	35	238
0	59	228
1	272	228
2	2019	228
0	8321	228
0	1063	14144
1	3407	13366
0	8698	12440

Stop Event

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

Compiler

Compiled 902 to 526 computations (41.7% saved)

preprocess122.0ms (0.5%)

Memory: 1.8MiB live, 112.4MiB allocated
Compiler: Compiled 928 to 228 computations (75.4% 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%)

analyze201.0ms (0.9%)

sample14.9s (64.5%)

explain255.0ms (1.1%)

preprocess40.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize360.0ms (1.6%)

series104.0ms (0.5%)

simplify186.0ms (0.8%)

rewrite162.0ms (0.7%)

eval89.0ms (0.4%)

prune19.0ms (0.1%)

simplify149.0ms (0.6%)

localize257.0ms (1.1%)

series207.0ms (0.9%)

simplify190.0ms (0.8%)

rewrite174.0ms (0.8%)

eval267.0ms (1.2%)

prune79.0ms (0.3%)

simplify162.0ms (0.7%)

localize473.0ms (2.1%)

series443.0ms (1.9%)

simplify255.0ms (1.1%)

rewrite262.0ms (1.1%)

eval253.0ms (1.1%)

prune87.0ms (0.4%)

simplify136.0ms (0.6%)

localize474.0ms (2.1%)

series140.0ms (0.6%)

simplify229.0ms (1%)

rewrite211.0ms (0.9%)

eval190.0ms (0.8%)

prune76.0ms (0.3%)

regimes90.0ms (0.4%)

regimes57.0ms (0.2%)

regimes31.0ms (0.1%)

regimes9.0ms (0%)

regimes6.0ms (0%)

regimes20.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch40.0ms (0.2%)

bsearch1.0ms (0%)

bsearch34.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch63.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.1%)

soundness1.5s (6.4%)

preprocess122.0ms (0.5%)

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