Metrics for 2nthrt (problem 3.4.6)

analyze475.0ms (1.8%)

Memory

-333.8MiB live, 303.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.7s (54.3%)

Memory

5.8MiB live, 18 425.4MiB allocated

Samples

10.0s	6 124×	5	exit
1.4s	2 922×	2	valid
1.2s	2 756×	1	valid
274.0ms	2 578×	0	valid
165.0ms	1 058×	1	exit
153.0ms	1 557×	0	exit
72.0ms	63×	4	exit
4.0ms	1×	3	exit
2.0ms	2×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 12.1s

ival-pow: 9.5s (78.7% of total)

adjust: 1.1s (9.4% of total)

ival-add: 534.0ms (4.4% of total)

ival-div: 455.0ms (3.8% of total)

ival-sub: 397.0ms (3.3% of total)

exact: 32.0ms (0.3% of total)

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

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

Bogosity

preprocess41.0ms (0.2%)

Memory

-5.6MiB live, 33.7MiB allocated

Algorithm

2×	egg-herbie

Rules

140×	`sub-neg`
86×	`unsub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
80×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))

Call 2

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (/ 1 n)) (pow (- 1 x) (/ 1 n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (/ 1 x)) (pow n (/ 1 x)))

explain427.0ms (1.6%)

Memory

-0.5MiB live, 437.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
124	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)))`
29	36	(2.0618422630952026e-70 1.6708277164201281e-18)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	124	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	65	0

Confusion

	Predicted +	Predicted -
+	137	0
-	52	67

Precision

0.7248677248677249

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	0
-	52	0	67

Precision?

0.7248677248677249

Recall?

1.0

Freqs

test

number	freq
0	67
1	189

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms	180×	2	valid
79.0ms	240×	1	valid
8.0ms	92×	0	valid

Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-pow: 121.0ms (79.3% of total)

adjust: 10.0ms (6.6% of total)

ival-div: 9.0ms (5.9% of total)

ival-add: 6.0ms (3.9% of total)

ival-sub: 5.0ms (3.3% of total)

exact: 1.0ms (0.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify10.0ms (0%)

Memory

-7.7MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	(-.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×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))

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

localize90.0ms (0.3%)

Memory

4.8MiB live, 245.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	90.1%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	55.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

39.0ms	90×	2	valid
33.0ms	120×	1	valid
4.0ms	46×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 46.0ms (72.1% of total)

ival-div: 6.0ms (9.4% of total)

adjust: 5.0ms (7.8% of total)

ival-add: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

exact: 0.0ms (0% of total)

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

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

series68.0ms (0.2%)

Memory

-4.2MiB live, 192.5MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<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)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<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)>
#<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)>
#<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)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (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)>
#<alt (/ (- (+ (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)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<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))>
#<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))>
#<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))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<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))))>
#<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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(pow x (/ 1 n))
19.0ms	x	@	-inf	(pow x (/ 1 n))
8.0ms	x	@	inf	(pow x (/ 1 n))
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	x	@	-inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite291.0ms (1.1%)

Memory

34.4MiB live, 787.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 822×	`accelerator-lowering-fma.f32`
3 822×	`accelerator-lowering-fma.f64`
3 746×	`-lowering-.f32`
3 746×	`-lowering-.f64`
3 490×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	58	31
2	402	31
3	4324	31
0	8399	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 321

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))

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

simplify481.0ms (1.8%)

Memory

-9.0MiB live, 1 029.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 074×	`accelerator-lowering-fma.f32`
13 074×	`accelerator-lowering-fma.f64`
4 500×	`-lowering-.f32`
4 500×	`-lowering-.f64`
3 564×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
(/ (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 (/ (+ (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 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)))
(/ (- (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))) (* -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 n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -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)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) 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
(+ 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 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 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))
(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))
(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 x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) 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 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 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 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 (fma.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 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) 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 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) 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))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) 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 -1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (*.f64 n n))))) x))) x)) x)) x)
(- (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)))
(/ (- (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 (-.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)) (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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n 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))) (-.f64 #s(literal 0 binary64) (log.f64 x)))) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (-.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)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (log.f64 x)))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n)))))) n)
(* -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 (-.f64 (log.f64 x) (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(literal 0 binary64) 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 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) 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 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.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) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #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 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #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))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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))))
(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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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)))))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 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 (/ (+ (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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (fma.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 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 (/ (+ (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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) 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 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(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
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 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))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 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) (-.f64 #s(literal 0 binary64) (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 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 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 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 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))
(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))
(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 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))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (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 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval61.0ms (0.2%)

Memory: 21.3MiB live, 177.3MiB allocated
Compiler: Compiled 12 216 to 1 429 computations (88.3% saved)

prune70.0ms (0.3%)

Memory

-20.0MiB live, 177.6MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	467	17	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	17	485

Accuracy

99.8%

Counts

485 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
	17.1%	(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶	35.2%	(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
	39.3%	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
	54.5%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	65.3%	(/.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)) (log.f64 x)) n)
▶	23.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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))))
▶	71.1%	(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
	23.2%	(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 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)))) (.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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
	60.0%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	21.3%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	51.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	14.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	51.0%	(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n 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))) (-.f64 #s(literal 0 binary64) (log.f64 x)))) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
	30.3%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	55.3%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 886 to 470 computations (47% saved)

simplify324.0ms (1.2%)

Memory

4.3MiB live, 636.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
✓	cost-diff	768	(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	384	(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(-.f64 (log.f64 x) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
✓	cost-diff	192	(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))

Rules

10 954×	`accelerator-lowering-fma.f32`
10 954×	`accelerator-lowering-fma.f64`
3 796×	`-lowering-.f32`
3 796×	`-lowering-.f64`
1 918×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	544
1	124	544
2	296	544
3	713	537
4	1809	529
5	5567	529
0	8313	482

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(- 0 n)
0
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)
x
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
n
(/ -1/2 n)
-1/2
(/ 1 n)
1
(pow x (/ 1 n))
(/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x)
(+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n))
(pow x (/ 1 n))
x
(/ 1 n)
1
n
(- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))
(/ 1/2 (* x (* n n)))
1/2
(* x (* n n))
(* n n)
(/ 1/2 (* x n))
(* x n)
(/ (pow x (/ 1 n)) n)
(/ (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(pow (+ x 1) (/ 2 n))
(+ x 1)
x
1
(/ 2 n)
2
n
(pow x (/ 2 n))
(+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(/ 1 n)
(pow x (/ 1 n))

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

localize397.0ms (1.5%)

Memory

17.6MiB live, 560.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 2 binary64) n))
✓	accuracy	99.7%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.7%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓	accuracy	55.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
✓	accuracy	96.6%	(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
✓	accuracy	94.2%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
✓	accuracy	90.4%	(.f64 x (.f64 n n))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓	accuracy	97.3%	(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	64.4%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	47.1%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.2%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	76.7%	(-.f64 (log.f64 x) (log1p.f64 x))
✓	accuracy	76.6%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓	accuracy	76.6%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

139.0ms	90×	2	valid
91.0ms	79×	1	valid
42.0ms	72×	0	exit
11.0ms	10×	1	exit
2.0ms	5×	0	valid

Compiler

Compiled 501 to 57 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-pow: 79.0ms (34.9% of total)

ival-div: 45.0ms (19.9% of total)

adjust: 21.0ms (9.3% of total)

ival-sub: 18.0ms (8% of total)

ival-mult: 18.0ms (8% of total)

ival-add: 14.0ms (6.2% of total)

ival-log: 10.0ms (4.4% of total)

ival-pow2: 8.0ms (3.5% of total)

ival-log1p: 6.0ms (2.7% of total)

const: 5.0ms (2.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series90.0ms (0.3%)

Memory

3.4MiB live, 172.3MiB allocated

Counts

26 → 516

Calls

Call 1

Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))>
#<alt (- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))>
#<alt (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)>
#<alt (+ (/ 1/2 (* n n)) (/ -1/2 n))>
#<alt (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n))>
#<alt (/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x)>
#<alt (/ (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))>
#<alt (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))>
#<alt (pow (+ x 1) (/ 2 n))>
#<alt (+ x 1)>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (pow (log x) 3)>
#<alt (/ 1/2 (* n n))>
#<alt (* x (* n n))>
#<alt (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))>
#<alt (/ 1/2 (* x (* n n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (pow x (/ 2 n))>

Outputs
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
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#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
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#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (pow (log x) 3))>
#<alt (- (pow x 3) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)>
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#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ -1/2 (* n x))>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
#<alt (/ -1/2 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<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))))>
#<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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log x) 3) (pow n 3))) (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -1 (/ (+ (* 4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n))) n)))>

Calls

129 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
4.0ms	x	@	inf	(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
4.0ms	n	@	-inf	(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
4.0ms	x	@	0	(/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x)
3.0ms	x	@	inf	(/ (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))

rewrite444.0ms (1.6%)

Memory

4.5MiB live, 543.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 896×	`-lowering-.f32`
4 896×	`-lowering-.f64`
4 378×	`accelerator-lowering-fma.f32`
4 378×	`accelerator-lowering-fma.f64`
2 888×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	344
1	448	322
2	4694	322
0	8133	289

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 846

Calls

Call 1

Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n))
(/ (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) x)
(/ (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(pow (+ x 1) (/ 2 n))
(+ x 1)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log x) 3)
(/ 1/2 (* n n))
(* x (* n n))
(- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))
(/ 1/2 (* x (* n n)))
(pow (+ x 1) (/ 1 n))
(pow x (/ 2 n))

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

simplify546.0ms (2%)

Memory

20.9MiB live, 753.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 772×	`accelerator-lowering-fma.f32`
5 772×	`accelerator-lowering-fma.f64`
4 838×	`-lowering-.f32`
4 838×	`-lowering-.f64`
4 160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1660	15203
1	5267	14496
0	8137	13636

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))
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(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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(* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))
(/ (- (* 1/2 (/ 1 x)) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)
(/ (- (+ (* -1 (/ (+ 1/3 (+ (* 1/6 (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 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)))))))))))) x)
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(* -1 (/ (- (+ 1 (* -1 (/ (- 1/2 (+ (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))
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(- (+ (log x) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))
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(- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x)))
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(log x)
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(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(log x)
(log x)
(log x)
(log x)
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(* -1 (/ (log x) n))
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(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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Outputs
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1
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1
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1
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eval511.0ms (1.9%)

Memory: -127.6MiB live, 507.8MiB allocated
Compiler: Compiled 71 915 to 5 789 computations (92% saved)

prune287.0ms (1.1%)

Memory

6.8MiB live, 477.8MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	1 831	35	1 866
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	1 843	40	1 883

Accuracy

100.0%

Counts

1 883 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.8%	(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	39.3%	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
	31.6%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x)
	17.1%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))) x)
	53.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
	53.6%	(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
	35.1%	(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
	4.2%	(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
	32.9%	(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
	40.9%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
▶	54.5%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	25.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	38.4%	(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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))))
▶	46.4%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)
▶	60.0%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	23.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	23.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
	53.7%	(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)) n)
	39.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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)))
	5.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
	54.6%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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))))
	16.7%	(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	7.1%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
	51.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	30.3%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.1%	(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	43.0%	(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))))
	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	28.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	27.6%	(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))
	35.7%	(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
	28.8%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
	35.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
	53.6%	(.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))) #s(literal -1 binary64)))
	53.6%	(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)))
	23.6%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	4.4%	(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))

Compiler

Compiled 2 363 to 1 304 computations (44.8% saved)

simplify370.0ms (1.4%)

Memory

6.9MiB live, 448.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)
✓	cost-diff	6080	(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))
✓	cost-diff	6976	(-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.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(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))
✓	cost-diff	7552	(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 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	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Rules

9 568×	`accelerator-lowering-fma.f32`
9 568×	`accelerator-lowering-fma.f64`
4 592×	`-lowering-.f32`
4 592×	`-lowering-.f64`
1 244×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	182
1	75	177
2	151	175
3	378	167
4	1052	167
5	2445	167
6	5866	167
0	8115	156

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (0.5%)

Memory

-0.7MiB live, 231.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓	accuracy	99.7%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))
✓	accuracy	99.7%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(*.f64 x n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	93.5%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.9%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	accuracy	99.7%	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

55.0ms	183×	1	exit
25.0ms	73×	0	valid

Compiler

Compiled 186 to 33 computations (82.3% saved)

Precisions

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

ival-div: 12.0ms (19.6% of total)

ival-pow: 12.0ms (19.6% of total)

ival-mult: 9.0ms (14.7% of total)

adjust: 7.0ms (11.4% of total)

ival-log1p: 4.0ms (6.5% of total)

const: 4.0ms (6.5% of total)

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

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

ival-add: 2.0ms (3.3% of total)

ival-pow2: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series99.0ms (0.4%)

Memory

9.8MiB live, 163.8MiB allocated

Counts

20 → 360

Calls

Call 1

Inputs
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (log x)>
#<alt (- 1 1)>
#<alt (/ (pow x (/ 1 n)) (* x n))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (* x n)>
#<alt (+ (* (pow x (* (/ 1 n) 1/2)) (neg (pow x (* (/ 1 n) 1/2)))) 1)>
#<alt (* (/ 1 n) 1/2)>
#<alt (pow x (* (/ 1 n) 1/2))>
#<alt (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)))>
#<alt (+ (* (/ (pow (log x) 2) n) 1/2) (log x))>
#<alt (/ (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* (/ (pow (log x) 2) n) 1/2) (log x))) n)>
#<alt (/ (* -1/6 (pow (log x) 3)) (* n n))>
#<alt (neg (pow x (* (/ 1 n) 1/2)))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* -1/6 (pow (log x) 3))>

Outputs
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<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))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (+ (* 1/24 (pow (log x) 3)) (* 1/8 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (+ (* 1/192 (pow (log x) 4)) (+ (* 1/64 (pow (log x) 4)) (* 1/48 (pow (log x) 4)))) (pow n 3))) (+ (* -1 (/ (+ (* 1/24 (pow (log x) 3)) (* 1/8 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (+ (* -1/8 (/ (pow (log x) 3) n)) (* -1/24 (/ (pow (log x) 3) n)))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow (log x) 3)) (* -1/24 (pow (log x) 3)))) (+ (* 1/192 (/ (pow (log x) 4) n)) (+ (* 1/64 (/ (pow (log x) 4) n)) (* 1/48 (/ (pow (log x) 4) n))))) n)) (* -1/2 (pow (log x) 2))) n))) n))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n))))>
#<alt (+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))>
#<alt (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))>
#<alt (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))>
#<alt (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))))) (pow n 2))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))))) (pow n 2))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1 (/ (- (* 1/6 (/ (pow (log x) 3) n)) (* -1/2 (pow (log x) 2))) n)) (log x))>
#<alt (- (* -1 (/ (- (* 1/6 (/ (pow (log x) 3) n)) (* -1/2 (pow (log x) 2))) n)) (log x))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))>
#<alt (* 1/2 (/ (pow (log x) 2) n))>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)>
#<alt (log x)>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (log x)>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)>
#<alt (/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)>
#<alt (/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)>
#<alt (/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)>
#<alt (/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)>
#<alt (/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)>
#<alt (/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)>
#<alt (/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 3)))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 3))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1/8 (/ (pow (log x) 2) (pow n 2))) (+ 1 (* 1/2 (/ (log x) n))))>
#<alt (- (* -1/48 (/ (pow (log x) 3) (pow n 3))) (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1 (/ (- (* 1/8 (/ (pow (log x) 2) n)) (* -1/2 (log x))) n)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)) 1)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (* -1/6 (pow (log x) 3))>
#<alt (* -1/6 (pow (log x) 3))>
#<alt (* -1/6 (pow (log x) 3))>
#<alt (* -1/6 (pow (log x) 3))>
#<alt (* 1/6 (pow (log (/ 1 x)) 3))>
#<alt (* 1/6 (pow (log (/ 1 x)) 3))>
#<alt (* 1/6 (pow (log (/ 1 x)) 3))>
#<alt (* 1/6 (pow (log (/ 1 x)) 3))>
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>

Calls

90 calls:

Time	Variable		Point	Expression
47.0ms	n	@	0	(/ (- (log (+ 1 x)) (log x)) n)
12.0ms	n	@	inf	(/ (- (log (+ 1 x)) (log x)) n)
5.0ms	x	@	inf	(/ (pow x (/ 1 n)) (* x n))
5.0ms	x	@	-inf	(/ (pow x (/ 1 n)) (* x n))
4.0ms	x	@	inf	(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* (/ (pow (log x) 2) n) 1/2) (log x)))

rewrite467.0ms (1.7%)

Memory

-19.6MiB live, 816.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 004×	`-lowering-.f32`
6 004×	`-lowering-.f64`
4 572×	`/-lowering-/.f32`
4 572×	`/-lowering-/.f64`
3 392×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	150
1	191	139
2	1666	139
0	9069	134

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 687

Calls

Call 1

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

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

simplify478.0ms (1.8%)

Memory

6.4MiB live, 719.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 356×	`accelerator-lowering-fma.f32`
12 356×	`accelerator-lowering-fma.f64`
4 576×	`-lowering-.f32`
4 576×	`-lowering-.f64`
3 276×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	4119
1	1153	3914
2	3009	3718
0	8471	3591

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ 1 (* 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))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(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))
(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 x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) 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 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)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))
(+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))
(+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))
(+ 1 (* -1 (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(+ 1 (* -1 (pow (exp (* 1/2 (/ (log x) n))) 2)))
(* -1 (/ (log x) n))
(/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (+ (* 1/24 (pow (log x) 3)) (* 1/8 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (+ (* 1/192 (pow (log x) 4)) (+ (* 1/64 (pow (log x) 4)) (* 1/48 (pow (log x) 4)))) (pow n 3))) (+ (* -1 (/ (+ (* 1/24 (pow (log x) 3)) (* 1/8 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (+ (* -1/8 (/ (pow (log x) 3) n)) (* -1/24 (/ (pow (log x) 3) n)))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow (log x) 3)) (* -1/24 (pow (log x) 3)))) (+ (* 1/192 (/ (pow (log x) 4) n)) (+ (* 1/64 (/ (pow (log x) 4) n)) (* 1/48 (/ (pow (log x) 4) n))))) n)) (* -1/2 (pow (log x) 2))) n))) n))
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
(exp (* 1/2 (/ (log x) n)))
1
(+ 1 (* 1/2 (/ (log x) n)))
(+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n))))
(+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))
1
(+ 1 (* 1/2 (/ (log x) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))
(- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))
(- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))
(- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))))
(- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))
(- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))
(- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))
(- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))))) (pow n 2))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1 (* n (log x))) (* 1/2 (pow (log x) 2))))) (pow n 2))
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1 (/ (- (* 1/6 (/ (pow (log x) 3) n)) (* -1/2 (pow (log x) 2))) n)) (log x))
(- (* -1 (/ (- (* 1/6 (/ (pow (log x) 3) n)) (* -1/2 (pow (log x) 2))) n)) (log x))
(+ (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) (* 1/2 (/ (pow (log x) 2) n)))
(+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))
(+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))
(+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))
(+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))
(* 1/2 (/ (pow (log x) 2) n))
(/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)
(/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)
(/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) n)
(log x)
(+ (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)
(+ (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)))
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)
(/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)
(/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)
(/ (- (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n)))) n)
(/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)
(/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)
(/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)
(/ (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))))) n)
(* -1/6 (/ (pow (log x) 3) (pow n 3)))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 3))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))
(* -1 (/ (log x) n))
(/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)
(/ (+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))
(* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))
(* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))
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(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
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(* -1 (exp (* 1/2 (/ (log x) n))))
(* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))
(* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))
(* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))
(* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))
(* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* -1 (exp (* 1/2 (/ (log x) n))))
(* -1 (exp (* 1/2 (/ (log x) n))))
(* -1 (exp (* 1/2 (/ (log x) n))))
(* -1 (exp (* 1/2 (/ (log x) n))))
-1
(- (* -1/2 (/ (log x) n)) 1)
(- (* -1/8 (/ (pow (log x) 2) (pow n 2))) (+ 1 (* 1/2 (/ (log x) n))))
(- (* -1/48 (/ (pow (log x) 3) (pow n 3))) (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))
-1
(- (* -1/2 (/ (log x) n)) 1)
(- (* -1 (/ (- (* 1/8 (/ (pow (log x) 2) n)) (* -1/2 (log x))) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)) 1)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
(* 1/6 (pow (log (/ 1 x)) 3))
(* 1/6 (pow (log (/ 1 x)) 3))
(* 1/6 (pow (log (/ 1 x)) 3))
(* 1/6 (pow (log (/ 1 x)) 3))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))

Outputs
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x n))))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))) x)
(/ 1 (* n x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(* -1 (log x))
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(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
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(/ 1 x)
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(/ (- 1 (* 1/2 (/ 1 x))) x)
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(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
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(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x x)))) x)
(/ 1 x)
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(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
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(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
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(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
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(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
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(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
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(* -1 (log (/ 1 x)))
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(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
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(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
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eval204.0ms (0.8%)

Memory: 17.8MiB live, 321.4MiB allocated
Compiler: Compiled 37 850 to 3 060 computations (91.9% saved)

prune190.0ms (0.7%)

Memory

10.2MiB live, 295.8MiB allocated

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	1 238	21	1 259
Fresh	16	18	34
Picked	4	1	5
Done	0	1	1
Total	1 258	41	1 299

Accuracy

100.0%

Counts

1 299 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
	31.6%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x)
	17.1%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))) x)
▶	41.2%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
	26.6%	(/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 n (.f64 n n)))
	4.2%	(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
	40.9%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
✓	54.5%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	29.2%	(/.f64 (/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n n)) n)
	25.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	41.2%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
	35.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
	35.6%	(/.f64 (-.f64 x (log.f64 x)) n)
	23.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	23.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
	59.9%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n)
	42.4%	(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
	43.0%	(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))
	42.1%	(/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 n (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))
	5.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
▶	60.0%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
	54.6%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
	35.0%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
▶	16.7%	(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	7.1%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.3%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.1%	(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	54.6%	(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
	55.0%	(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
	28.8%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
	59.9%	(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
	59.9%	(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
	23.6%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	4.4%	(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
▶	22.4%	(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
▶	28.4%	#s(literal 0 binary64)

Compiler

Compiled 1 508 to 901 computations (40.3% saved)

simplify329.0ms (1.2%)

Memory

-16.4MiB live, 478.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	0	(log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓	cost-diff	128	(*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))
✓	cost-diff	12992	(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	384	(fma.f64 #s(literal 1/2 binary64) n (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	384	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	768	(/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64))))
✓	cost-diff	0	(*.f64 x n)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x n))
✓	cost-diff	384	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
✓	cost-diff	512	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)

Rules

11 728×	`accelerator-lowering-fma.f32`
11 728×	`accelerator-lowering-fma.f64`
3 652×	`-lowering-.f32`
3 652×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	264
1	87	249
2	222	239
3	502	239
4	1133	231
5	2190	221
6	6925	221
0	8235	211

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (/ (+ 1 x) x)) n)
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
1
x
n
0
(/ (+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n)) x)
(+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n))
(/ 1 (* x n))
1
(* x n)
x
n
(+ -1/2 (/ 1/3 x))
-1/2
(/ 1/3 x)
1/3
(/ 1 n)
(- (+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1) (pow x (/ 1 n)))
(+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1)
x
(+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))
(/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))
(+ (* 1/2 n) (* (+ (* n n) 0) -1/2))
1/2
n
(* (+ (* n n) 0) -1/2)
(+ (* n n) 0)
0
-1/2
(* n (+ (* n n) 0))
(/ 1 n)
1
(pow x (/ 1 n))
(exp (* (log (/ n (log (/ (+ 1 x) x)))) -1))
(* (log (/ n (log (/ (+ 1 x) x)))) -1)
(log (/ n (log (/ (+ 1 x) x))))
(/ n (log (/ (+ 1 x) x)))
n
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
1
x
-1

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

localize206.0ms (0.8%)

Memory

18.0MiB live, 397.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	96.4%	(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
✓	accuracy	94.7%	(log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓	accuracy	86.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	accuracy	99.2%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓	accuracy	96.3%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	81.2%	(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	80.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64))))
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
✓	accuracy	99.8%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
✓	accuracy	86.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))

Samples

41.0ms	62×	1	valid
39.0ms	58×	1	invalid
24.0ms	85×	0	invalid
19.0ms	17×	2	valid
10.0ms	34×	0	valid

Compiler

Compiled 270 to 39 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-log: 22.0ms (21.6% of total)

ival-div: 20.0ms (19.6% of total)

ival-mult: 19.0ms (18.7% of total)

ival-add: 15.0ms (14.7% of total)

ival-pow: 8.0ms (7.9% of total)

adjust: 7.0ms (6.9% of total)

const: 5.0ms (4.9% of total)

ival-exp: 4.0ms (3.9% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series186.0ms (0.7%)

Memory

-6.1MiB live, 316.7MiB allocated

Counts

18 → 360

Calls

Call 1

Inputs
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (log (/ (+ 1 x) x))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n))>
#<alt (/ (+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n)) x)>
#<alt (/ 1 (* x n))>
#<alt (* x n)>
#<alt (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))>
#<alt (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))>
#<alt (+ (* 1/2 n) (* (+ (* n n) 0) -1/2))>
#<alt (- (+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1) (pow x (/ 1 n)))>
#<alt (exp (* (log (/ n (log (/ (+ 1 x) x)))) -1))>
#<alt (* (log (/ n (log (/ (+ 1 x) x)))) -1)>
#<alt (log (/ n (log (/ (+ 1 x) x))))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ 1/3 x)>
#<alt (+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1)>

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

Calls

90 calls:

Time	Variable		Point	Expression
56.0ms	n	@	inf	(/ (log (/ (+ 1 x) x)) n)
33.0ms	x	@	inf	(/ 1/3 x)
23.0ms	n	@	0	(* (log (/ n (log (/ (+ 1 x) x)))) -1)
18.0ms	n	@	-inf	(* (log (/ n (log (/ (+ 1 x) x)))) -1)
18.0ms	n	@	0	(/ (log (/ (+ 1 x) x)) n)

rewrite410.0ms (1.5%)

Memory

6.6MiB live, 678.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`-lowering-.f32`
5 260×	`-lowering-.f64`
3 648×	`accelerator-lowering-fma.f32`
3 648×	`accelerator-lowering-fma.f64`
3 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	202
1	243	189
2	2370	188
0	8124	172

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 701

Calls

Call 1

Inputs
(/ (log (/ (+ 1 x) x)) n)
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
(+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n))
(/ (+ (* (/ 1 (* x n)) (+ -1/2 (/ 1/3 x))) (/ 1 n)) x)
(/ 1 (* x n))
(* x n)
(/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))
(+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))
(+ (* 1/2 n) (* (+ (* n n) 0) -1/2))
(- (+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1) (pow x (/ 1 n)))
(exp (* (log (/ n (log (/ (+ 1 x) x)))) -1))
(* (log (/ n (log (/ (+ 1 x) x)))) -1)
(log (/ n (log (/ (+ 1 x) x))))
(/ n (log (/ (+ 1 x) x)))
(/ 1/3 x)
(+ (* x (+ (* x (/ (+ (* 1/2 n) (* (+ (* n n) 0) -1/2)) (* n (+ (* n n) 0)))) (/ 1 n))) 1)

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

simplify425.0ms (1.6%)

Memory

44.9MiB live, 631.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 674×	`accelerator-lowering-fma.f32`
8 674×	`accelerator-lowering-fma.f64`
4 778×	`-lowering-.f32`
4 778×	`-lowering-.f64`
4 324×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	4571
1	1727	4339
2	5136	4228
0	8580	4059

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(* -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 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1/3 (* n (pow x 2)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ 1 n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(/ 1 n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(/ 1 (* n x))
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(/ 1/2 (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ -1/2 n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ -1/2 n)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(/ (* x (+ (* -1/2 (pow n 2)) (* 1/2 n))) (pow n 3))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/2 n)) (pow n 3))) (/ 1 (* n x)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/2 n)) (pow n 3))) (/ 1 (* n x)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/2 n)) (pow n 3))) (/ 1 (* n x)))))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) 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))
(* 1/2 n)
(* n (+ 1/2 (* -1/2 n)))
(* n (+ 1/2 (* -1/2 n)))
(* n (+ 1/2 (* -1/2 n)))
(* -1/2 (pow n 2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 1/2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 1/2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 1/2))
(* -1/2 (pow n 2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 1/2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 1/2))
(* (pow n 2) (- (* 1/2 (/ 1 n)) 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))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (- (* x (+ 1 (* -1/2 x))) (log x)) n)
(/ (- (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (- (* x (- (* 1/2 x) 1)) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
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1
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
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Outputs
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eval222.0ms (0.8%)

Memory: -8.5MiB live, 325.8MiB allocated
Compiler: Compiled 36 157 to 3 482 computations (90.4% saved)

prune198.0ms (0.7%)

Memory

-1.6MiB live, 462.2MiB allocated

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1 143	21	1 164
Fresh	9	25	34
Picked	3	2	5
Done	0	2	2
Total	1 155	50	1 205

Accuracy

100.0%

Counts

1 205 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
	31.8%	(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
	4.2%	(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
	26.6%	(/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 n (.f64 n n)))
	40.9%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
✓	54.5%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	24.0%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
	36.9%	(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
	30.7%	(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
	29.2%	(/.f64 (/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n n)) n)
	24.3%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
	25.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	35.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
	59.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
	35.3%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	37.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
	27.0%	(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
	35.6%	(/.f64 (-.f64 x (log.f64 x)) n)
	23.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	23.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
	41.2%	(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
	13.3%	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) n))))
	40.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
	59.9%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n)
	42.4%	(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
	43.0%	(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))
	42.1%	(/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 n (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))
	5.9%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
✓	60.0%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
	54.6%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	59.6%	(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
	35.0%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	37.5%	(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
	7.1%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.3%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	11.1%	(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	36.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
	54.6%	(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
	28.8%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
	41.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
	59.9%	(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
	23.6%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	4.4%	(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
	5.8%	(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
	17.0%	(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 x))))))
✓	28.4%	#s(literal 0 binary64)

Compiler

Compiled 3 073 to 927 computations (69.8% saved)

regimes148.0ms (0.5%)

Memory

2.6MiB live, 157.1MiB allocated

Counts

95 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) n))))
(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 x))))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))) x)
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 n (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n n)) n)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (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)) (log.f64 x)) n)
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)) n)
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.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)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n)
(.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 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)))) (.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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n 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))) (-.f64 #s(literal 0 binary64) (log.f64 x)))) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.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)))

Outputs

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

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

Calls

4 calls:

60.0ms	n
34.0ms	x
27.0ms	(/.f64 #s(literal 1 binary64) n)
22.0ms	(-.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
85.4%	2	`x`
88.1%	4	`n`
85.0%	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)))`
88.1%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes178.0ms (0.7%)

Memory

-11.5MiB live, 106.9MiB allocated

Counts

81 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) n))))
(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 x))))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))) x)
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 n (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (fma.f64 n (.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n n)) n)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (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)) (log.f64 x)) 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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

3 calls:

98.0ms	x
44.0ms	(/.f64 #s(literal 1 binary64) n)
33.0ms	n

Results

Accuracy	Segments	Branch
88.1%	4	`n`
88.1%	4	`(/.f64 #s(literal 1 binary64) n)`
84.6%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes178.0ms (0.7%)

Memory

34.3MiB live, 108.0MiB allocated

Counts

66 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) n))))
(fma.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 x))))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))) x)
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

4 calls:

100.0ms	n
42.0ms	x
17.0ms	(/.f64 #s(literal 1 binary64) n)
14.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
81.2%	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)))`
74.2%	2	`x`
84.0%	4	`n`
86.2%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes107.0ms (0.4%)

Memory

-14.4MiB live, 35.5MiB allocated

Counts

52 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))

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

Calls

1 calls:

105.0ms

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

Results

Accuracy	Segments	Branch
85.8%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.1%)

Memory

-2.2MiB live, 31.7MiB allocated

Counts

50 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 x n) (.f64 x n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) (*.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 n (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 n n #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

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

Calls

1 calls:

18.0ms

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

Results

Accuracy	Segments	Branch
85.8%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.1%)

Memory

-13.1MiB live, 25.8MiB allocated

Counts

38 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))

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

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
85.8%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.1%)

Memory

4.0MiB live, 43.0MiB allocated

Counts

35 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))

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

Calls

2 calls:

29.0ms	n
10.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
85.5%	6	`n`
85.5%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes106.0ms (0.4%)

Memory

-7.4MiB live, 38.3MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)

Outputs

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

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

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

Calls

2 calls:

94.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
80.9%	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)))`
76.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes151.0ms (0.6%)

Memory

-9.0MiB live, 69.4MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #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(literal 1 binary64))

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
#s(literal 0 binary64)

Calls

4 calls:

82.0ms	n
9.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
65.6%	4	`(/.f64 #s(literal 1 binary64) n)`
64.4%	3	`x`
65.6%	4	`n`
56.5%	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)))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes10.0ms (0%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))

Outputs

(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))

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

#s(literal 0 binary64)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
64.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.1%)

Memory

3.9MiB live, 42.8MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n (.f64 x n)) (.f64 (*.f64 x n) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) (.f64 n (/.f64 (*.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x)
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x)))) n (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (.f64 (.f64 n (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n)) x)

Outputs

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

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

Calls

4 calls:

16.0ms	n
8.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
41.2%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
50.3%	2	`(/.f64 #s(literal 1 binary64) n)`
50.6%	3	`n`
46.8%	2	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes7.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
50.2%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (.f64 x (.f64 x x)))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
49.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes81.0ms (0.3%)

Memory

-32.9MiB live, 7.8MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(.f64 x (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(/.f64 (fma.f64 n (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 n n))
(/.f64 (fma.f64 x (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 n n))

Outputs
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
49.5%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.9%	2	`x`
44.8%	3	`n`
44.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
44.7%	3	`(/.f64 #s(literal 1 binary64) n)`
44.7%	3	`n`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
44.4%	3	`n`
44.4%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes82.0ms (0.3%)

Memory

-28.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

4 calls:

77.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
2.0ms	(/.f64 #s(literal 1 binary64) n)
1.0ms	x
1.0ms	n

Results

Accuracy	Segments	Branch
28.4%	1	`x`
28.4%	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)))`
28.4%	1	`n`
28.4%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch33.0ms (0.1%)

Memory

32.3MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.017525134681135535	31.114144593148783

Samples

10.0ms	33×	2	valid
10.0ms	59×	1	valid
3.0ms	36×	0	valid
1.0ms	16×	0	exit

Compiler

Compiled 474 to 293 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-pow: 13.0ms (66.2% of total)

adjust: 2.0ms (10.2% of total)

ival-div: 2.0ms (10.2% of total)

ival-sub: 1.0ms (5.1% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8206667957244146e+239	5.575097864628648e+241
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8206667957244146e+239	5.575097864628648e+241
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8206667957244146e+239	5.575097864628648e+241
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8206667957244146e+239	5.575097864628648e+241
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8206667957244146e+239	5.575097864628648e+241
0.0ms	0.010585909859613893	0.0404755339872703
0.0ms	1.4337336176652632e-50	3.776188743714439e-24
0.0ms	-1.6920360772203555e-9	-5.055407772867109e-18

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.815836535636663e-13	2.860448543695604e-6
0.0ms	-0.1360832512080279	-2.220446049250313e-16

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch174.0ms (0.6%)

Memory

-35.6MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.2956432336124237e+159	1.4999396192166433e+161
28.0ms	0.017525134681135535	31.114144593148783

Samples

33.0ms	96×	2	valid
10.0ms	55×	1	valid
7.0ms	89×	0	valid
3.0ms	32×	0	exit

Compiler

Compiled 358 to 269 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 30.0ms (69.8% of total)

adjust: 4.0ms (9.3% of total)

ival-div: 4.0ms (9.3% of total)

ival-add: 3.0ms (7% of total)

ival-sub: 2.0ms (4.7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch122.0ms (0.5%)

Memory

10.6MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
93.0ms	1.2956432336124237e+159	1.4999396192166433e+161
25.0ms	0.017525134681135535	31.114144593148783

Samples

89.0ms	82×	2	valid
11.0ms	63×	1	valid
7.0ms	95×	0	valid
1.0ms	17×	0	exit

Compiler

Compiled 358 to 277 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-pow: 87.0ms (87.1% of total)

ival-div: 4.0ms (4% of total)

adjust: 4.0ms (4% of total)

ival-add: 2.0ms (2% of total)

ival-sub: 2.0ms (2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3466704699810176e+24	-1.3072543690234384e+24

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3466704699810176e+24	-1.3072543690234384e+24

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3466704699810176e+24	-1.3072543690234384e+24

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6868117.905494742	-0.18688072115506604

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch17.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-2.6702442494901842e-216	-2.1471586666575803e-221
0.0ms	-7.649620637696033e-25	-7.425721602212722e-25

Samples

11.0ms

144×

valid

Compiler

Compiled 126 to 103 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow: 5.0ms (64.9% of total)

ival-div: 1.0ms (13% of total)

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.1%)

Memory

-16.5MiB live, 21.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-2.6702442494901842e-216	-2.1471586666575803e-221
0.0ms	-7.649620637696033e-25	-7.425721602212722e-25

Samples

33.0ms

144×

valid

Compiler

Compiled 126 to 103 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 27.0ms (91.5% of total)

ival-div: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.3466704699810176e+24	-1.3072543690234384e+24
0.0ms	-4.65731767069022e+220	-3.744975764636231e+215

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify20.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
28×	`*-commutative_binary64`
24×	`sub-neg_binary64`
12×	`neg-mul-1_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	731
1	179	730
2	199	730
3	209	730
4	214	730
5	215	730

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 20 binary64)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 3399999999999999912935387072172242194919355287860510119071672152202983724394488001565503894704418087966842832641420776371932450751272998980423597766059029954560 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 5224175567749775/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 29999999999999998634977957194050681014571311550075648481047462304075959903936063614845143120083791047295975878815541775667784792242319143344565806307172191043584 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64)))
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#s(literal 0 binary64)

Outputs
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(if (<=.f64 x #s(literal 5224175567749775/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 29999999999999998634977957194050681014571311550075648481047462304075959903936063614845143120083791047295975878815541775667784792242319143344565806307172191043584 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1320000000000000117440512 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n)))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1320000000000000117440512 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n))) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1320000000000000117440512 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1320000000000000117440512 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n)))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 n #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -5862308316527477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
(if (<=.f64 n #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -6365324178432907/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -39999999999999999857489682947580440562363907983863492444533080158831013531716442450465886445308847889178282175721266508147629715229517823900307967173095987589998528545971011167230224041907022844954233743788619248386965504 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1320000000000000117440512 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
#s(literal 0 binary64)

soundness2.1s (7.8%)

Memory

4.6MiB live, 1 510.2MiB allocated

Rules

13 074×	`accelerator-lowering-fma.f32`
13 074×	`accelerator-lowering-fma.f64`
12 356×	`accelerator-lowering-fma.f32`
12 356×	`accelerator-lowering-fma.f64`
8 674×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	202
1	243	189
2	2370	188
0	8124	172
0	56	344
1	448	322
2	4694	322
0	8133	289
0	1660	15203
1	5267	14496
0	8137	13636
0	557	4571
1	1727	4339
2	5136	4228
0	8580	4059
0	407	4119
1	1153	3914
2	3009	3718
0	8471	3591
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380
0	8	31
1	58	31
2	402	31
3	4324	31
0	8399	27
0	33	150
1	191	139
2	1666	139
0	9069	134

Stop Event

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

Compiler

Compiled 1 612 to 721 computations (55.3% saved)

preprocess140.0ms (0.5%)

Memory: 11.7MiB live, 170.1MiB allocated
Compiler: Compiled 1 524 to 286 computations (81.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

analyze475.0ms (1.8%)

sample14.7s (54.3%)

preprocess41.0ms (0.2%)

explain427.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0%)

localize90.0ms (0.3%)

series68.0ms (0.2%)

rewrite291.0ms (1.1%)

simplify481.0ms (1.8%)

eval61.0ms (0.2%)

prune70.0ms (0.3%)

simplify324.0ms (1.2%)

localize397.0ms (1.5%)

series90.0ms (0.3%)

rewrite444.0ms (1.6%)

simplify546.0ms (2%)

eval511.0ms (1.9%)

prune287.0ms (1.1%)

simplify370.0ms (1.4%)

localize122.0ms (0.5%)

series99.0ms (0.4%)

rewrite467.0ms (1.7%)

simplify478.0ms (1.8%)

eval204.0ms (0.8%)

prune190.0ms (0.7%)

simplify329.0ms (1.2%)

localize206.0ms (0.8%)

series186.0ms (0.7%)

rewrite410.0ms (1.5%)

simplify425.0ms (1.6%)

eval222.0ms (0.8%)

prune198.0ms (0.7%)

regimes148.0ms (0.5%)

regimes178.0ms (0.7%)

regimes178.0ms (0.7%)

regimes107.0ms (0.4%)

regimes21.0ms (0.1%)

regimes27.0ms (0.1%)

regimes41.0ms (0.1%)

regimes106.0ms (0.4%)

regimes151.0ms (0.6%)

regimes10.0ms (0%)

regimes40.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes81.0ms (0.3%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes82.0ms (0.3%)

bsearch33.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch174.0ms (0.6%)

bsearch122.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

bsearch39.0ms (0.1%)

bsearch0.0ms (0%)

simplify20.0ms (0.1%)

soundness2.1s (7.8%)

preprocess140.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34