Metrics for Given's Rotation SVD example

analyze458.0ms (5%)

Memory

20.2MiB live, 568.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	48.6%	51.4%	0%	0%	0%	0
0%	0%	48.6%	51.4%	0%	0%	0%	1
0%	0%	48.6%	51.4%	0%	0%	0%	2
0%	0%	48.6%	51.4%	0%	0%	0%	3
0%	0%	48.6%	51.4%	0%	0%	0%	4
31.3%	15.2%	33.4%	51.4%	0%	0%	0%	5
34.4%	16.7%	31.9%	51.4%	0%	0%	0%	6
51.6%	25.1%	23.6%	51.4%	0%	0%	0%	7
53.1%	25.8%	22.8%	51.4%	0%	0%	0%	8
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	9
63.7%	31%	17.7%	51.4%	0%	0%	0%	10
68.6%	33.3%	15.3%	51.4%	0%	0%	0%	11
69.2%	33.7%	15%	51.4%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.1s (22.9%)

Memory

70.4MiB live, 2 837.2MiB allocated

Samples

962.0ms	6 232×	0	valid
289.0ms	1 002×	2	valid
150.0ms	404×	3	valid
131.0ms	618×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 277.0ms (23.6% of total)

ival-mult: 235.0ms (20% of total)

ival-sqrt: 180.0ms (15.3% of total)

ival-add: 155.0ms (13.2% of total)

ival-div: 108.0ms (9.2% of total)

adjust: 90.0ms (7.7% of total)

ival-<: 53.0ms (4.5% of total)

ival-fabs: 52.0ms (4.4% of total)

ival-and: 11.0ms (0.9% of total)

exact: 10.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess86.0ms (0.9%)

Memory

-36.0MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

Rules

252×	`distribute-lft-neg-in`
218×	`unsub-neg`
198×	`associate-r`
196×	`associate-l`
162×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	93
1	90	87
2	194	87
3	401	87
4	661	87
5	999	87
6	1334	87
7	1544	87
8	1698	87
9	1932	87
10	1999	87
11	2027	87
12	2029	87
0	14	17
0	23	17
1	38	17
2	45	17
3	47	17
4	48	17
0	48	15

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))

(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)))

Symmetry

(abs p)

explain211.0ms (2.3%)

Memory

10.2MiB live, 475.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
80	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
30	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
27	-	2	(5.408265898526007e-260 -2.8496414421796947e-99)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
1	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	80	0
↳	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	overflow	1
↳	`(*.f64 #s(literal 4 binary64) p)`	overflow	1
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	81
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	81
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	30	0
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	uflow-rescue	25	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	7
↳	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`	underflow	32
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	32
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	13
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	54

Confusion

	Predicted +	Predicted -
+	55	0
-	80	121

Precision

0.4074074074074074

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	0
-	80	0	121

Precision?

0.4074074074074074

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	392×	0	valid
19.0ms	72×	2	valid
7.0ms	22×	3	valid
4.0ms	26×	1	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

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

ival-mult: 13.0ms (30.5% of total)

ival-sqrt: 11.0ms (25.8% of total)

ival-add: 8.0ms (18.8% of total)

ival-div: 6.0ms (14.1% of total)

adjust: 4.0ms (9.4% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

ival-assert: 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

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize51.0ms (0.6%)

Memory

5.3MiB live, 123.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
✓	accuracy	90.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	accuracy	89.9%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	70.9%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

19.0ms	196×	0	valid
9.0ms	36×	2	valid
3.0ms	11×	3	valid
2.0ms	13×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 6.0ms (27.8% of total)

ival-sqrt: 5.0ms (23.2% of total)

ival-div: 4.0ms (18.5% of total)

ival-add: 4.0ms (18.5% of total)

adjust: 2.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-65.4MiB live, 38.3MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))>
#<alt (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))>

Outputs
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))>
#<alt (+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (* 1/2 (/ x p))>
#<alt (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt -1>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (/ x p))>
#<alt (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)>
#<alt (* -1/2 (/ x p))>
#<alt (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))>

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	-inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
1.0ms	x	@	inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
1.0ms	p	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite276.0ms (3%)

Memory

6.6MiB live, 434.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 862×	`lower-fma.f64`
4 862×	`lower-fma.f32`
3 532×	`lower-*.f32`
3 524×	`lower-*.f64`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	23	53
1	77	53
2	501	53
3	6985	53
0	8510	48

Stop Event

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

Counts

4 → 147

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (*.f64 p p))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (.f64 p p)))) (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p)))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (*.f64 p p) #s(literal 16 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p)))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (*.f64 p p)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (.f64 p p))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p))))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (*.f64 p p) #s(literal 16 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -16 binary64) (.f64 p (.f64 p (.f64 p p)))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (*.f64 p p) #s(literal 16 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (*.f64 p p))))))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))))))))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (.f64 p p))))))
(.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (neg.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p))))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (*.f64 p p) #s(literal 16 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (neg.f64 (-.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))) (-.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64))))
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(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)))))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))) (sqrt.f64 (-.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (neg.f64 x)))
(/.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) (neg.f64 x))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 p (.f64 p p)) (.f64 #s(literal 64 binary64) (.f64 p (.f64 p p))))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))))))
(.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 #s(literal 4 binary64) (.f64 p p)))))

simplify569.0ms (6.2%)

Memory

35.4MiB live, 656.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 484×	`lower-fma.f64`
10 484×	`lower-fma.f32`
6 702×	`lower-*.f64`
6 702×	`lower-*.f32`
4 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	2283
1	1223	2176
2	4346	2074
0	8186	1934

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
1
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(* 1/2 (/ x p))
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64)))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 p (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64))))))
(* -2 p)
(*.f64 p #s(literal -2 binary64))
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64)) (neg.f64 p))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64))))) (neg.f64 p))
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) (.f64 #s(literal 2 binary64) p))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) (*.f64 #s(literal 2 binary64) x) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 (.f64 x x) (*.f64 x x)))) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 (.f64 x x) (*.f64 x x))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 (.f64 x x) (*.f64 x x))))) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (*.f64 p p))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))
(* 2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 p p))) (.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (.f64 p p) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 p p) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 p (.f64 p (fma.f64 p (.f64 p (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x)))) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
(fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 x #s(literal 1/2 binary64))) p))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64)) (.f64 p p))) p))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) p)) (.f64 x (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (.f64 p p))) (.f64 #s(literal -3/128 binary64) x)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 p p) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 p (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
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(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) p)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/32 binary64)) p)) p))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -3/64 binary64)) p) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/32 binary64)))) (neg.f64 p))) p))
(* 1/2 (/ x p))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 p (*.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
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(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (*.f64 p p))))) (pow.f64 x #s(literal 6 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 p (.f64 p (fma.f64 p (.f64 p (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 1/2 (/ x p))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 x #s(literal 1/2 binary64))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64)) (.f64 p p))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (*.f64 x #s(literal 1/2 binary64)))) p)
(* -1/2 (/ x p))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) p)
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 x #s(literal 1/2 binary64))) (neg.f64 p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64)) (.f64 p p))) (neg.f64 p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 p))

eval50.0ms (0.6%)

Memory: -5.8MiB live, 72.5MiB allocated
Compiler: Compiled 8 531 to 1 206 computations (85.9% saved)

prune69.0ms (0.8%)

Memory

26.7MiB live, 102.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	229	12	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	12	242

Accuracy

99.7%

Counts

242 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
	26.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x))
▶	80.0%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	59.2%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))))
	18.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64))))
	11.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 p p))) (*.f64 x x))))
	63.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
▶	14.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x))))
	75.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))))
▶	6.2%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
	30.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	61.8%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 356 to 238 computations (33.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize96.0ms (1%)

Memory

-23.4MiB live, 195.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 p p))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x)))
✓	accuracy	90.6%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
✓	accuracy	72.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
✓	accuracy	70.9%	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))

Samples

39.0ms	196×	0	valid
13.0ms	60×	1	exit

Compiler

Compiled 170 to 31 computations (81.8% saved)

Precisions

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

ival-mult: 16.0ms (43.5% of total)

ival-sqrt: 8.0ms (21.8% of total)

ival-div: 5.0ms (13.6% of total)

ival-add: 5.0ms (13.6% of total)

adjust: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

series26.0ms (0.3%)

Memory

-18.7MiB live, 56.1MiB allocated

Counts

15 → 240

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))>
#<alt (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))>
#<alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x))))>
#<alt (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 p p))>
#<alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)>
#<alt (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))>
#<alt (fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))>

Outputs
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt (* 1/2 (/ x p))>
#<alt (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt -1>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (/ x p))>
#<alt (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)>
#<alt (* -1/2 (/ x p))>
#<alt (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (* 2 (pow p 2))>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (sqrt 1/2) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	p	@	0	(+ (* (/ x (sqrt (+ (* 4 (* p p)) (* x x)))) 1/2) 1/2)
3.0ms	p	@	0	(/ (* 2 (* p p)) (* x x))
2.0ms	x	@	inf	(+ (* 1/4 (* x (/ (sqrt 1/2) p))) (sqrt 1/2))
1.0ms	x	@	-inf	(sqrt (+ (* (/ x (sqrt (+ (* 4 (* p p)) (* x x)))) 1/2) 1/2))
1.0ms	x	@	0	(/ (* 2 (* p p)) (* x x))

rewrite323.0ms (3.5%)

Memory

10.7MiB live, 608.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 536×	`lower-fma.f32`
7 530×	`lower-fma.f64`
5 838×	`lower-*.f32`
5 828×	`lower-*.f64`
2 894×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	112
0	49	111
1	148	107
2	917	95
0	8336	95

Stop Event

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

Counts

15 → 490

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 p p))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))) (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (*.f64 p p) #s(literal -4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (sqrt.f64 (neg.f64 (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (*.f64 p p) #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -16 binary64) (.f64 p (.f64 p (.f64 p p)))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (*.f64 p p) #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x)))))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64))))))))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal 16 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (*.f64 x x)))))
(.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(neg.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x)))
(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p))) (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (.f64 p p))) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (.f64 p p))) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 p p)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64))))) (.f64 (fma.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (.f64 p p))) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 p p)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) #s(literal -1/4 binary64)))))

simplify523.0ms (5.7%)

Memory

4.5MiB live, 743.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 164×	`lower-fma.f64`
10 164×	`lower-fma.f32`
7 032×	`lower-*.f64`
7 032×	`lower-*.f32`
4 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	3032
1	1307	2978
2	4225	2921
0	8045	2754

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

Inputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(* 1/2 (/ x p))
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(* 2 (pow p 2))
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (sqrt 1/2) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 p (.f64 p (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x))) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64)))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 p (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))))
(* -2 p)
(*.f64 p #s(literal -2 binary64))
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(fma.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)) (.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p))) (.f64 #s(literal 2 binary64) p))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) (*.f64 #s(literal 2 binary64) x) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x))
(* 1/2 (/ x p))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 p (*.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 7 binary64))) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 1/2 (/ x p))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (.f64 p p))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (.f64 p p))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (*.f64 p p)))) p)
(* -1/2 (/ x p))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) p)
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (.f64 p p))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (.f64 p p))) (neg.f64 p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p))) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) (*.f64 p p)))) (neg.f64 p))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x)))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -16 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/.f64 (fma.f64 p p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
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(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(* 2 (pow p 2))
(.f64 #s(literal 2 binary64) (.f64 p p))
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (sqrt 1/2) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(/ (* x (sqrt 1/2)) p)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))

eval127.0ms (1.4%)

Memory: 38.7MiB live, 190.7MiB allocated
Compiler: Compiled 14 536 to 2 052 computations (85.9% saved)

prune87.0ms (1%)

Memory

-16.3MiB live, 243.4MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	745	9	754
Fresh	6	1	7
Picked	3	2	5
Done	0	0	0
Total	754	12	766

Accuracy

99.9%

Counts

766 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	19.6%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x (.f64 x p))) p) (neg.f64 x))
▶	59.0%	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
	26.3%	(/.f64 p (neg.f64 x))
▶	6.4%	(/.f64 p x)
✓	80.0%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	59.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
	11.4%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))
▶	63.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
✓	61.8%	(sqrt.f64 #s(literal 1/2 binary64))
	30.0%	#s(literal 1 binary64)
▶	6.2%	#s(literal 0 binary64)

Compiler

Compiled 281 to 169 computations (39.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize103.0ms (1.1%)

Memory

-3.8MiB live, 231.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/4 binary64) p)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) p)
✓	accuracy	99.9%	(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
✓	accuracy	98.1%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	92.2%	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
✓	accuracy	91.9%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
✓	accuracy	91.8%	(/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))
✓	accuracy	70.9%	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))

Samples

30.0ms	151×	0	valid
12.0ms	62×	0	invalid
11.0ms	23×	2	valid
5.0ms	8×	3	valid
4.0ms	12×	1	valid

Compiler

Compiled 238 to 31 computations (87% saved)

Precisions

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

ival-div: 12.0ms (27.8% of total)

ival-mult: 12.0ms (27.8% of total)

ival-sqrt: 8.0ms (18.6% of total)

ival-add: 8.0ms (18.6% of total)

adjust: 3.0ms (7% of total)

exact: 1.0ms (2.3% of total)

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

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

series31.0ms (0.3%)

Memory

-14.0MiB live, 57.7MiB allocated

Counts

12 → 252

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))>
#<alt (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))>
#<alt (/.f64 p x)>
#<alt (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal 1/4 binary64) p)>

Outputs
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 8))) (* 1/64 (/ 1 (pow p 6))))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))>
#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))>
#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))>
#<alt (/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))>
#<alt (/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt 2>
#<alt (- (+ 2 (* -8 (/ (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))))>
#<alt (- (+ 2 (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))>
#<alt (- (+ 2 (+ (* -128 (/ (pow p 6) (pow x 6))) (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4)))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4))))))))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (* -2 (/ (pow p 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))>
#<alt (/ (- (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* -1/2 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))))))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (- (+ 1 (* -1/16 (/ (pow x 3) (pow p 3)))) (* -1/2 (/ x p)))>
#<alt (- (+ 1 (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/2 (/ x p)) (* 1/16 (/ (pow x 3) (pow p 3)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (+ 1 (* -1 (/ (- (* -1/16 (/ (pow x 3) (pow p 2))) (* -1/2 x)) p)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 x) (* 1/16 (/ (pow x 3) (pow p 2))))) p)))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)>
#<alt (- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)>
#<alt (- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))>
#<alt (* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (/ 1/4 p)>
#<alt (* p (sqrt 1/2))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (* 1/4 (* x (sqrt 1/2)))>
#<alt (* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))>
#<alt (* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))>
#<alt (* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))>
#<alt (* 1/4 (* x (sqrt 1/2)))>
#<alt (* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))>
#<alt (* 1/4 (* x (sqrt 1/2)))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))>
#<alt (* p (sqrt 1/2))>
#<alt (* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (* p (sqrt 1/2))>
#<alt (* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))>
#<alt (* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))>
#<alt (* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt p>
#<alt (+ p (* 1/4 x))>
#<alt (+ p (* 1/4 x))>
#<alt (+ p (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (/ p x)))>
#<alt (* x (+ 1/4 (/ p x)))>
#<alt (* x (+ 1/4 (/ p x)))>
#<alt (* 1/4 x)>
#<alt (* -1 (* x (- (* -1 (/ p x)) 1/4)))>
#<alt (* -1 (* x (- (* -1 (/ p x)) 1/4)))>
#<alt (* -1 (* x (- (* -1 (/ p x)) 1/4)))>
#<alt (* 1/4 x)>
#<alt (+ p (* 1/4 x))>
#<alt (+ p (* 1/4 x))>
#<alt (+ p (* 1/4 x))>
#<alt p>
#<alt (* p (+ 1 (* 1/4 (/ x p))))>
#<alt (* p (+ 1 (* 1/4 (/ x p))))>
#<alt (* p (+ 1 (* 1/4 (/ x p))))>
#<alt p>
#<alt (* -1 (* p (- (* -1/4 (/ x p)) 1)))>
#<alt (* -1 (* p (- (* -1/4 (/ x p)) 1)))>
#<alt (* -1 (* p (- (* -1/4 (/ x p)) 1)))>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (sqrt 1/2) (+ (* x 1/4) p))
3.0ms	x	@	-inf	(/ (+ -1 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x))))))
2.0ms	p	@	0	(sqrt (+ (* x (/ 1/4 p)) 1/2))
2.0ms	x	@	inf	(/ (+ -1 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x))))))
1.0ms	x	@	-inf	(sqrt (+ (* x (/ 1/4 p)) 1/2))

rewrite430.0ms (4.7%)

Memory

45.3MiB live, 715.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 884×	`lower-fma.f32`
7 878×	`lower-fma.f64`
4 202×	`lower-/.f32`
4 190×	`lower-/.f64`
3 926×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	43	104
1	170	104
2	1247	89
0	8745	88

Stop Event

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

Counts

12 → 501

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
(/.f64 p x)
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/4 binary64) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/4 binary64) p)

Outputs
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)) (.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))) (sqrt.f64 (fma.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p (.f64 p p)) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)) (.f64 (neg.f64 (.f64 x x)) (*.f64 x x))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p (.f64 p p)) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)) (.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p (.f64 p p)) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)) (.f64 #s(literal -4 binary64) (.f64 (.f64 p p) (*.f64 x x)))))))
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(/.f64 (-.f64 (.f64 (.f64 p p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) p) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 p p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/4 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)))
(.f64 (.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)))
(exp.f64 (.f64 (log.f64 (/.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 p)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 p (fma.f64 x #s(literal 1/4 binary64) p)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (neg.f64 p))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))))
(pow.f64 (/.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (/.f64 #s(literal 1 binary64) p))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal -1 binary64) p))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))
(.f64 (/.f64 #s(literal 1 binary64) p) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p)) p))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) p))
(*.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(.f64 (pow.f64 (/.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(+.f64 p (*.f64 x #s(literal 1/4 binary64)))
(+.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (neg.f64 (/.f64 (.f64 p p) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 p p) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(-.f64 (/.f64 (.f64 p p) (+.f64 p (.f64 #s(literal -1/4 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (+.f64 p (*.f64 #s(literal -1/4 binary64) x))))
(fma.f64 p #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/4 binary64) p)
(fma.f64 #s(literal -1 binary64) (neg.f64 p) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) x p)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (neg.f64 (/.f64 (.f64 p p) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(fma.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) p))))
(/.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))
(/.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 p p (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x p)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) p)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 p p (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x p)))) (fma.f64 p (.f64 p p) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (fma.f64 p p (.f64 #s(literal -1/16 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p))
(/.f64 (neg.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 p p (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x p))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p))) (neg.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 (fma.f64 p p (.f64 #s(literal -1/16 binary64) (.f64 x x))) (+.f64 p (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) p) (.f64 p p))) (.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (neg.f64 (neg.f64 (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p)))) (neg.f64 (neg.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) p))))
(/.f64 (neg.f64 (fma.f64 p p (.f64 #s(literal -1/16 binary64) (.f64 x x)))) (neg.f64 (+.f64 p (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 p p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (fma.f64 (/.f64 (.f64 p p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 p p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 p p) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p))) (.f64 (/.f64 (.f64 p p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 p p) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) p)) (/.f64 (.f64 p p) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal -1 binary64))
(.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p p (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x p))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) p))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(.f64 (neg.f64 (fma.f64 p (.f64 p p) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 p (+.f64 p (.f64 #s(literal -1/4 binary64) x)) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 p p))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(.f64 (fma.f64 p p (.f64 #s(literal -1/16 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 p (.f64 #s(literal -1/4 binary64) x))))

simplify468.0ms (5.1%)

Memory

-26.2MiB live, 569.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 960×	`lower-fma.f64`
7 960×	`lower-fma.f32`
5 972×	`lower-*.f64`
5 972×	`lower-*.f32`
3 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	3759
1	1767	3712
2	5838	3693
0	8158	3432

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

Inputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(* 1/4 (/ (pow x 2) (pow p 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 8))) (* 1/64 (/ 1 (pow p 6))))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
2
(- (+ 2 (* -8 (/ (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))))
(- (+ 2 (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))
(- (+ 2 (+ (* -128 (/ (pow p 6) (pow x 6))) (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4)))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4))))))))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (* -2 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/ (- (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* -1/2 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))))))))) (pow x 2))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/2 (/ x p)))
(- (+ 1 (* -1/16 (/ (pow x 3) (pow p 3)))) (* -1/2 (/ x p)))
(- (+ 1 (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/2 (/ x p)) (* 1/16 (/ (pow x 3) (pow p 3)))))
1
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (- (* -1/16 (/ (pow x 3) (pow p 2))) (* -1/2 x)) p)))
(+ 1 (* -1 (/ (- (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 x) (* 1/16 (/ (pow x 3) (pow p 2))))) p)))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(* 1/2 (sqrt (/ x p)))
(* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))
(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ x p)))
(/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(* p (sqrt 1/2))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(* 1/4 (* x (sqrt 1/2)))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(* 1/4 (* x (sqrt 1/2)))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(* 1/4 (* x (sqrt 1/2)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(* p (sqrt 1/2))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(* p (sqrt 1/2))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
p
(+ p (* 1/4 x))
(+ p (* 1/4 x))
(+ p (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (/ p x)))
(* x (+ 1/4 (/ p x)))
(* x (+ 1/4 (/ p x)))
(* 1/4 x)
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(* 1/4 x)
(+ p (* 1/4 x))
(+ p (* 1/4 x))
(+ p (* 1/4 x))
p
(* p (+ 1 (* 1/4 (/ x p))))
(* p (+ 1 (* 1/4 (/ x p))))
(* p (+ 1 (* 1/4 (/ x p))))
p
(* -1 (* p (- (* -1/4 (/ x p)) 1)))
(* -1 (* p (- (* -1/4 (/ x p)) 1)))
(* -1 (* p (- (* -1/4 (/ x p)) 1)))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (*.f64 p p))) #s(literal 2 binary64)))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (fma.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) (.f64 p p))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (.f64 p p))) (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 p p) (.f64 p p)))))))
(* -2 p)
(*.f64 p #s(literal -2 binary64))
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(neg.f64 (.f64 p (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (*.f64 p p))) #s(literal 2 binary64))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (fma.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) (.f64 p p))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (.f64 p p))) (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 p p) (.f64 p p)))))) (neg.f64 p))
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/4 binary64)) p) (.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) (.f64 #s(literal 2 binary64) p))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x)) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x))
(* 1/4 (/ (pow x 2) (pow p 2)))
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(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(* p (sqrt 1/2))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(* 1/4 (* x (sqrt 1/2)))
(.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* x (+ (* 1/4 (sqrt 1/2)) (/ (* p (sqrt 1/2)) x)))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* 1/4 (* x (sqrt 1/2)))
(.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* -1 (* x (+ (* -1 (/ (* p (sqrt 1/2)) x)) (* -1/4 (sqrt 1/2)))))
(.f64 x (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))
(* 1/4 (* x (sqrt 1/2)))
(.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(* p (sqrt 1/2))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(* p (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(* p (sqrt 1/2))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(* -1 (* p (+ (* -1 (sqrt 1/2)) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
(.f64 p (fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
p
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (/ p x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(* x (+ 1/4 (/ p x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(* x (+ 1/4 (/ p x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/4 binary64) (/.f64 p x)))
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/4 binary64) (/.f64 p x)))
(* -1 (* x (- (* -1 (/ p x)) 1/4)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/4 binary64) (/.f64 p x)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
(+ p (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) p)
p
(* p (+ 1 (* 1/4 (/ x p))))
(fma.f64 p (/.f64 (*.f64 x #s(literal 1/4 binary64)) p) p)
(* p (+ 1 (* 1/4 (/ x p))))
(fma.f64 p (/.f64 (*.f64 x #s(literal 1/4 binary64)) p) p)
(* p (+ 1 (* 1/4 (/ x p))))
(fma.f64 p (/.f64 (*.f64 x #s(literal 1/4 binary64)) p) p)
p
(* -1 (* p (- (* -1/4 (/ x p)) 1)))
(*.f64 (fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal -1 binary64)) (neg.f64 p))
(* -1 (* p (- (* -1/4 (/ x p)) 1)))
(*.f64 (fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal -1 binary64)) (neg.f64 p))
(* -1 (* p (- (* -1/4 (/ x p)) 1)))
(*.f64 (fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal -1 binary64)) (neg.f64 p))

eval178.0ms (2%)

Memory: 16.4MiB live, 194.9MiB allocated
Compiler: Compiled 24 028 to 2 816 computations (88.3% saved)

prune160.0ms (1.8%)

Memory

-11.6MiB live, 186.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	743	5	748
Fresh	0	5	5
Picked	1	4	5
Done	0	2	2
Total	744	16	760

Accuracy

99.9%

Counts

760 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	19.6%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x (.f64 x p))) p) (neg.f64 x))
✓	59.0%	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
	26.3%	(/.f64 p (neg.f64 x))
✓	6.4%	(/.f64 p x)
▶	6.4%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
▶	58.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
✓	80.0%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	59.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
▶	11.4%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))
	7.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
	17.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 x))))))
▶	63.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64))))))))
✓	61.8%	(sqrt.f64 #s(literal 1/2 binary64))
▶	30.0%	#s(literal 1 binary64)
✓	6.2%	#s(literal 0 binary64)

Compiler

Compiled 413 to 252 computations (39% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize311.0ms (3.4%)

Memory

-15.8MiB live, 219.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 p p) (*.f64 p p))
✓	accuracy	98.9%	(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (*.f64 x x))
✓	accuracy	98.3%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x))
✓	accuracy	93.5%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))
✓	accuracy	99.9%	(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
✓	accuracy	98.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
✓	accuracy	98.7%	(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))
✓	accuracy	92.2%	(+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))))
✓	accuracy	92.2%	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
✓	accuracy	92.0%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64))))))

Samples

102.0ms	212×	0	invalid
18.0ms	23×	2	valid
16.0ms	12×	1	valid
10.0ms	8×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 384 to 39 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 61.0ms (49.3% of total)

ival-div: 19.0ms (15.4% of total)

ival-log: 18.0ms (14.5% of total)

ival-exp: 8.0ms (6.5% of total)

ival-add: 8.0ms (6.5% of total)

ival-sqrt: 6.0ms (4.8% of total)

adjust: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

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

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

series47.0ms (0.5%)

Memory

0.4MiB live, 38.5MiB allocated

Counts

14 → 324

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64))))))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))))>
#<alt (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x p))>
#<alt (/.f64 x p)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))>
#<alt (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))>
#<alt (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x))>
#<alt (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (*.f64 x x))>
#<alt (.f64 (.f64 p p) (*.f64 p p))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt 2>
#<alt (- (+ 2 (* -8 (/ (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))))>
#<alt (- (+ 2 (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))>
#<alt (- (+ 2 (+ (* -128 (/ (pow p 6) (pow x 6))) (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4)))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4))))))))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (* -2 (/ (pow p 4) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))>
#<alt (/ (- (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* -1/2 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))))))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (- (+ 1 (* -1/16 (/ (pow x 3) (pow p 3)))) (* -1/2 (/ x p)))>
#<alt (- (+ 1 (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/2 (/ x p)) (* 1/16 (/ (pow x 3) (pow p 3)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (+ 1 (* -1 (/ (- (* -1/16 (/ (pow x 3) (pow p 2))) (* -1/2 x)) p)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 x) (* 1/16 (/ (pow x 3) (pow p 2))))) p)))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)>
#<alt (- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)>
#<alt (- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)>
#<alt (- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)>
#<alt -1>
#<alt (- (* -1/2 (/ x p)) 1)>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)>
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2)))))>
#<alt (+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* p (sqrt 2)))))))>
#<alt (+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (* p (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (pow p 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* p (sqrt 2)))))))>
#<alt (* 2 (sqrt (/ p x)))>
#<alt (+ (* -2 (sqrt (/ (pow p 3) (pow x 3)))) (* 2 (sqrt (/ p x))))>
#<alt (+ (* -2 (sqrt (/ (pow p 3) (pow x 3)))) (+ (* 2 (sqrt (/ p x))) (* 4 (sqrt (/ (pow p 5) (pow x 5))))))>
#<alt (+ (* -2 (sqrt (/ (pow p 3) (pow x 3)))) (+ (* -1/4 (* (sqrt (/ 1 (* p (pow x 7)))) (+ (* 4 (* (pow p 3) x)) (* 32 (pow p 4))))) (+ (* 2 (sqrt (/ p x))) (* 4 (sqrt (/ (pow p 5) (pow x 5)))))))>
#<alt (* (sqrt (/ p x)) (* (sqrt -4) (sqrt -1)))>
#<alt (+ (* -4 (* (sqrt (/ (pow p 3) (pow x 3))) (/ (sqrt -1) (sqrt -4)))) (* (sqrt (/ p x)) (* (sqrt -4) (sqrt -1))))>
#<alt (+ (* -4 (* (sqrt (/ (pow p 3) (pow x 3))) (/ (sqrt -1) (sqrt -4)))) (+ (* 8 (* (sqrt (/ (pow p 5) (pow x 5))) (/ (sqrt -1) (sqrt -4)))) (* (sqrt (/ p x)) (* (sqrt -4) (sqrt -1)))))>
#<alt (+ (* -4 (* (sqrt (/ (pow p 3) (pow x 3))) (/ (sqrt -1) (sqrt -4)))) (+ (* -1 (/ (+ (* -8 (* (sqrt (* (pow p 5) x)) (/ (sqrt -1) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* p x))) (/ (* (sqrt -1) (+ (* -16 (/ (* (pow p 3) x) (pow (sqrt -4) 2))) (* 32 (pow p 4)))) (sqrt -4))))) (pow x 3))) (* (sqrt (/ p x)) (* (sqrt -4) (sqrt -1)))))>
#<alt (* 2 (sqrt (/ p x)))>
#<alt (+ (* -2 (sqrt (/ (pow p 3) (pow x 3)))) (* 2 (sqrt (/ p x))))>
#<alt (+ (* 2 (sqrt (/ p x))) (* (pow p 2) (+ (* -2 (sqrt (/ 1 (* p (pow x 3))))) (* 4 (sqrt (/ p (pow x 5)))))))>
#<alt (+ (* 2 (sqrt (/ p x))) (* (pow p 2) (+ (* -2 (sqrt (/ 1 (* p (pow x 3))))) (* p (+ (* -1/4 (* (sqrt (* p x)) (+ (* 4 (/ 1 (* p (pow x 3)))) (* 32 (/ 1 (pow x 4)))))) (* 4 (sqrt (/ 1 (* p (pow x 5))))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2)))))>
#<alt (+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2)))) (* -1/2 (/ (+ (* 1/4 (pow x 3)) (* 1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow p 3) (sqrt 2)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2)))))>
#<alt (+ (sqrt 2) (* -1 (/ (+ (* 1/2 (/ x (sqrt 2))) (* 1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* p (sqrt 2))))) p)))>
#<alt (+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (+ (* -1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* -1/4 (pow x 3))) (* p (sqrt 2))))) p)) (* 1/2 (/ x (sqrt 2)))) p)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x p)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow p 2))) (/ 1 p))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/4 (/ x (pow p 3))) (* 1/2 (/ 1 (pow p 2))))) (/ 1 p))))>
#<alt (* 4 (/ p x))>
#<alt (/ (+ (* -8 (/ (pow p 2) x)) (* 4 p)) x)>
#<alt (/ (- (+ (* 4 p) (* 16 (/ (pow p 3) (pow x 2)))) (* 8 (/ (pow p 2) x))) x)>
#<alt (/ (- (+ (* -32 (/ (pow p 4) (pow x 3))) (* 4 p)) (+ (* -16 (/ (pow p 3) (pow x 2))) (* 8 (/ (pow p 2) x)))) x)>
#<alt (* 4 (/ p x))>
#<alt (* -1 (/ (+ (* -4 p) (* 8 (/ (pow p 2) x))) x))>
#<alt (* -1 (/ (+ (* -4 p) (* -1 (/ (- (* 16 (/ (pow p 3) x)) (* 8 (pow p 2))) x))) x))>
#<alt (* -1 (/ (+ (* -4 p) (* -1 (/ (- (* -1 (/ (- (* 32 (/ (pow p 4) x)) (* 16 (pow p 3))) x)) (* 8 (pow p 2))) x))) x))>
#<alt (* 4 (/ p x))>
#<alt (* p (+ (* -8 (/ p (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* p (+ (* p (- (* 16 (/ p (pow x 3))) (* 8 (/ 1 (pow x 2))))) (* 4 (/ 1 x))))>
#<alt (* p (+ (* p (- (* p (+ (* -32 (/ p (pow x 4))) (* 16 (/ 1 (pow x 3))))) (* 8 (/ 1 (pow x 2))))) (* 4 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x p)))>
#<alt (- (+ 2 (* 1/2 (/ (pow x 2) (pow p 2)))) (/ x p))>
#<alt (- (+ 2 (* -1/4 (/ (pow x 3) (pow p 3)))) (+ (* -1/2 (/ (pow x 2) (pow p 2))) (/ x p)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x p)))>
#<alt (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) p)) (* -1 x)) p)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow x 3) p)) (* -1/2 (pow x 2))) p)) (* -1 x)) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))>
#<alt (* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (/ p x)>
#<alt (* p (+ (* -3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))>
#<alt (* p (+ (* (pow p 2) (- (* -9/8 (/ (pow p 2) (pow x 5))) (* 3/2 (/ 1 (pow x 3))))) (/ 1 x)))>
#<alt (* p (+ (* (pow p 2) (- (* (pow p 2) (- (* -27/16 (/ (pow p 2) (pow x 7))) (* 9/8 (/ 1 (pow x 5))))) (* 3/2 (/ 1 (pow x 3))))) (/ 1 x)))>
#<alt (/ (* (pow p 2) (sqrt -3)) (pow x 2))>
#<alt (* (pow p 2) (+ (* 1/2 (/ 1 (* (pow p 2) (sqrt -3)))) (/ (sqrt -3) (pow x 2))))>
#<alt (* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2)))))>
#<alt (* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (pow x 4) (* (pow p 6) (pow (sqrt -3) 5)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2))))))>
#<alt (/ (* (pow p 2) (sqrt -3)) (pow x 2))>
#<alt (* (pow p 2) (+ (* 1/2 (/ 1 (* (pow p 2) (sqrt -3)))) (/ (sqrt -3) (pow x 2))))>
#<alt (* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2)))))>
#<alt (* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (pow x 4) (* (pow p 6) (pow (sqrt -3) 5)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2))))))>
#<alt (/ (* (pow p 2) (sqrt -3)) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ (pow x 2) (sqrt -3))) (* (pow p 2) (sqrt -3))) (pow x 2))>
#<alt (/ (+ (* (pow p 2) (sqrt -3)) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 2) (pow (sqrt -3) 3)))) (* 1/2 (/ 1 (sqrt -3)))))) (pow x 2))>
#<alt (/ (+ (* (pow p 2) (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 5)))) (* 1/8 (/ 1 (* (pow p 2) (pow (sqrt -3) 3)))))) (* 1/2 (/ 1 (sqrt -3)))))) (pow x 2))>
#<alt (/ p x)>
#<alt (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x)>
#<alt (/ (+ p (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4))))) x)>
#<alt (/ (+ p (+ (* -27/16 (/ (pow p 7) (pow x 6))) (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4)))))) x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -1 (/ (+ p (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4))))) x))>
#<alt (* -1 (/ (+ p (+ (* -27/16 (/ (pow p 7) (pow x 6))) (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4)))))) x))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* -3 (/ (pow p 4) (pow x 4)))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* -3 (/ (pow p 4) (pow x 4)))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))>
#<alt (* -3 (/ (pow p 4) (pow x 4)))>
#<alt (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))>
#<alt (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))>
#<alt (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (* -12 (/ (pow p 4) (pow x 2)))>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>
#<alt (pow p 4)>

Calls

81 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt (/ 1 (+ (* x (/ 1/4 p)) 1/2)))
1.0ms	p	@	inf	(sqrt (/ (+ (* 1/4 (/ (* (* (* p p) (* p p)) -12) (* x x))) (* p p)) (* x x)))
1.0ms	x	@	0	(sqrt (/ (+ (* 1/4 (/ (* (* (* p p) (* p p)) -12) (* x x))) (* p p)) (* x x)))
1.0ms	p	@	inf	(/ (+ (* 1/4 (/ (* (* (* p p) (* p p)) -12) (* x x))) (* p p)) (* x x))
1.0ms	x	@	inf	(sqrt (/ 1 (+ (* x (/ 1/4 p)) 1/2)))

rewrite407.0ms (4.5%)

Memory

39.0MiB live, 627.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 966×	`lower-/.f32`
4 946×	`lower-/.f64`
4 520×	`lower-fma.f32`
4 514×	`lower-fma.f64`
3 812×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	180
0	59	166
1	233	145
2	1620	130
0	8455	127

Stop Event

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

Counts

14 → 538

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64))))))
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))
(+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 x p)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (*.f64 x x))
(.f64 (.f64 p p) (*.f64 p p))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))))
(/.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p)))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))))))))
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(.f64 (/.f64 (fma.f64 (.f64 p p) (-.f64 (.f64 p p) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (/.f64 (fma.f64 p p (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 x x))) (fma.f64 (.f64 p p) (-.f64 (.f64 p p) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 (.f64 x x) (*.f64 x x))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (.f64 #s(literal 12 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 x x))))
(neg.f64 (.f64 #s(literal 12 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p (*.f64 p #s(literal -12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p (*.f64 p #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p (*.f64 p #s(literal -12 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) x) #s(literal -12 binary64))))
(/.f64 (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) x)) x)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) x))) (neg.f64 x))
(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) x) #s(literal -12 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64)))) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))) #s(literal 1 binary64))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) x) #s(literal -12 binary64))) (neg.f64 x))
(pow.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p (*.f64 p #s(literal -12 binary64))))) #s(literal -1 binary64))
(.f64 p (.f64 (.f64 p (.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))))
(.f64 (.f64 p p) (.f64 (.f64 p p) (/.f64 #s(literal -12 binary64) (*.f64 x x))))
(.f64 (.f64 p p) (.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 p p) (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)))
(.f64 #s(literal -12 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal -12 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (*.f64 x x)))
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(.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) x) (/.f64 #s(literal -12 binary64) x))
(.f64 (/.f64 #s(literal -12 binary64) x) (/.f64 (.f64 (.f64 p p) (.f64 p p)) x))
(.f64 (/.f64 p x) (/.f64 (.f64 p (.f64 p (.f64 p #s(literal -12 binary64)))) x))
(.f64 (/.f64 p x) (/.f64 (.f64 (.f64 p (.f64 p p)) #s(literal -12 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 p p) (.f64 p (.f64 p #s(literal -12 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 12 binary64))) #s(literal -1 binary64)))
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(.f64 (/.f64 #s(literal -12 binary64) (.f64 x x)) (.f64 (.f64 p p) (*.f64 p p)))
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(.f64 (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) x) (/.f64 (.f64 p p) x))
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(.f64 (/.f64 (.f64 #s(literal -12 binary64) (.f64 p (.f64 p p))) x) (/.f64 p x))
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(.f64 (/.f64 (.f64 p p) #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 p (.f64 p #s(literal -12 binary64)))) (*.f64 x x)))
(.f64 (/.f64 (.f64 p p) (neg.f64 x)) (/.f64 (neg.f64 (.f64 p (.f64 p #s(literal -12 binary64)))) x))
(.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -1 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (neg.f64 x)) (/.f64 #s(literal 12 binary64) x))
(.f64 (/.f64 #s(literal 12 binary64) x) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (neg.f64 x)))
(.f64 (/.f64 #s(literal -12 binary64) (neg.f64 x)) (/.f64 (neg.f64 (.f64 (.f64 p p) (.f64 p p))) x))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 p p) (.f64 p p))) x) (/.f64 #s(literal -12 binary64) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 p p) (.f64 p p))) #s(literal -1 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 x x)))
(.f64 (/.f64 (neg.f64 (.f64 p p)) #s(literal -1 binary64)) (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (*.f64 x x)))
(.f64 (/.f64 (neg.f64 (.f64 p p)) x) (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (neg.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 p)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 p) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 p) (*.f64 #s(literal 2 binary64) (log.f64 p))))
(pow.f64 p #s(literal 4 binary64))
(pow.f64 (*.f64 p p) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 p p) (*.f64 p p)) #s(literal 1 binary64))
(.f64 p (.f64 p (*.f64 p p)))
(.f64 (.f64 p p) (*.f64 p p))
(.f64 (.f64 p (*.f64 p p)) p)

simplify441.0ms (4.8%)

Memory

0.0MiB live, 843.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 494×	`lower-fma.f64`
9 494×	`lower-fma.f32`
7 236×	`lower-*.f64`
7 236×	`lower-*.f32`
3 984×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	5469
1	2679	5368
0	8345	5067

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
2
(- (+ 2 (* -8 (/ (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))))
(- (+ 2 (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))
(- (+ 2 (+ (* -128 (/ (pow p 6) (pow x 6))) (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4)))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4))))))))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (* -2 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
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2
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1
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1
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-1
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-1
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x
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(* 2 p)
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x
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(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
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(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
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(/ p x)
(/ p x)
(/ p x)
(/ p x)
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(/ p x)
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(sqrt 2)
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(* (sqrt (/ p x)) (* (sqrt -4) (sqrt -1)))
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(+ (* 2 (sqrt (/ p x))) (* (pow p 2) (+ (* -2 (sqrt (/ 1 (* p (pow x 3))))) (* p (+ (* -1/4 (* (sqrt (* p x)) (+ (* 4 (/ 1 (* p (pow x 3)))) (* 32 (/ 1 (pow x 4)))))) (* 4 (sqrt (/ 1 (* p (pow x 5))))))))))
(sqrt 2)
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(+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2))))))
(+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2)))) (* -1/2 (/ (+ (* 1/4 (pow x 3)) (* 1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow p 3) (sqrt 2)))))))
(sqrt 2)
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(+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (+ (* -1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))) (* -1/4 (pow x 3))) (* p (sqrt 2))))) p)) (* 1/2 (/ x (sqrt 2)))) p)))
2
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(* 4 (/ p x))
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2
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(- (+ 2 (* -1/4 (/ (pow x 3) (pow p 3)))) (+ (* -1/2 (/ (pow x 2) (pow p 2))) (/ x p)))
2
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(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow x 3) p)) (* -1/2 (pow x 2))) p)) (* -1 x)) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
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(* 1/2 (sqrt (/ x p)))
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(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
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(sqrt 1/2)
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(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))
1/2
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(+ 1/2 (* 1/4 (/ x p)))
(* 1/4 (/ x p))
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(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
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(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(/ p x)
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(* p (+ (* (pow p 2) (- (* -9/8 (/ (pow p 2) (pow x 5))) (* 3/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* p (+ (* (pow p 2) (- (* (pow p 2) (- (* -27/16 (/ (pow p 2) (pow x 7))) (* 9/8 (/ 1 (pow x 5))))) (* 3/2 (/ 1 (pow x 3))))) (/ 1 x)))
(/ (* (pow p 2) (sqrt -3)) (pow x 2))
(* (pow p 2) (+ (* 1/2 (/ 1 (* (pow p 2) (sqrt -3)))) (/ (sqrt -3) (pow x 2))))
(* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2)))))
(* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (pow x 4) (* (pow p 6) (pow (sqrt -3) 5)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2))))))
(/ (* (pow p 2) (sqrt -3)) (pow x 2))
(* (pow p 2) (+ (* 1/2 (/ 1 (* (pow p 2) (sqrt -3)))) (/ (sqrt -3) (pow x 2))))
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(* (pow p 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (pow x 4) (* (pow p 6) (pow (sqrt -3) 5)))) (+ (/ 1/2 (* (pow p 2) (sqrt -3))) (/ (sqrt -3) (pow x 2))))))
(/ (* (pow p 2) (sqrt -3)) (pow x 2))
(/ (+ (* 1/2 (/ (pow x 2) (sqrt -3))) (* (pow p 2) (sqrt -3))) (pow x 2))
(/ (+ (* (pow p 2) (sqrt -3)) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (* (pow p 2) (pow (sqrt -3) 3)))) (* 1/2 (/ 1 (sqrt -3)))))) (pow x 2))
(/ (+ (* (pow p 2) (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (* (pow p 4) (pow (sqrt -3) 5)))) (* 1/8 (/ 1 (* (pow p 2) (pow (sqrt -3) 3)))))) (* 1/2 (/ 1 (sqrt -3)))))) (pow x 2))
(/ p x)
(/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (+ p (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4))))) x)
(/ (+ p (+ (* -27/16 (/ (pow p 7) (pow x 6))) (+ (* -3/2 (/ (pow p 3) (pow x 2))) (* -9/8 (/ (pow p 5) (pow x 4)))))) x)
(* -1 (/ p x))
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(/ (pow p 2) (pow x 2))
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(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* -3 (/ (pow p 4) (pow x 4)))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* -3 (/ (pow p 4) (pow x 4)))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))
(* -3 (/ (pow p 4) (pow x 4)))
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))
(/ (pow p 2) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(* -12 (/ (pow p 4) (pow x 2)))
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 3/256 binary64) (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p))))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- (+ 2 (* -8 (/ (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))))
(-.f64 (fma.f64 p (.f64 #s(literal -8 binary64) (/.f64 p (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 x (.f64 x (*.f64 p p)))))
(- (+ 2 (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))
(-.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 p (.f64 #s(literal -8 binary64) (/.f64 p (.f64 x x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (.f64 x (.f64 x (.f64 p p)))) (/.f64 (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 p (.f64 p (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 p (.f64 p #s(literal -8 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (.f64 p (pow.f64 x #s(literal 4 binary64)))))))))
(- (+ 2 (+ (* -128 (/ (pow p 6) (pow x 6))) (+ (* -8 (/ (pow p 2) (pow x 2))) (* 32 (/ (pow p 4) (pow x 4)))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4))))))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 p (.f64 #s(literal -8 binary64) (/.f64 p (.f64 x x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) (/.f64 (fma.f64 p (.f64 p #s(literal -8 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p))) (.f64 p (.f64 p (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 32 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 p (.f64 p #s(literal -8 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 p p))))) (.f64 p (.f64 p (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (.f64 x (.f64 x (.f64 p p)))) (/.f64 (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 p (.f64 p (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (fma.f64 (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 p (.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 p (.f64 p (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (fma.f64 p (.f64 p #s(literal -8 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p))) (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 p (.f64 p (pow.f64 x #s(literal 6 binary64)))))))))
(* 2 (/ (pow p 2) (pow x 2)))
(.f64 #s(literal 2 binary64) (.f64 p (/.f64 p (*.f64 x x))))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (* -2 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x)))) (*.f64 x x))
(/ (- (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x)))) (fma.f64 (.f64 p p) (neg.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 p (.f64 p (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (.f64 x x))))) (*.f64 x x))
(/ (- (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* -1/2 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))))))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x))))) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 p p) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))) (fma.f64 (.f64 p p) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (neg.f64 (.f64 p p))))) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (.f64 p (.f64 p (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(- (+ 1 (* -1/16 (/ (pow x 3) (pow p 3)))) (* -1/2 (/ x p)))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/2 (/ x p)) (* 1/16 (/ (pow x 3) (pow p 3)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 5 binary64)))) (fma.f64 x (/.f64 #s(literal -1/2 binary64) p) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x x))) (.f64 p (*.f64 p p)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) p) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1/16 (/ (pow x 3) (pow p 2))) (* -1/2 x)) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) (.f64 #s(literal 1/2 binary64) x)) p))
(+ 1 (* -1 (/ (- (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 x) (* 1/16 (/ (pow x 3) (pow p 2))))) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 4 binary64)))) p))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 p p)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 p p))) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 p p))) #s(literal -1 binary64))
(* -4 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal -4 binary64)) (*.f64 x x))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal 16 binary64) (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 x x))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 p (.f64 p #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x)))) (*.f64 x x))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 256 binary64) (pow.f64 p #s(literal 8 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 p (.f64 p #s(literal 4 binary64)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -16 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(* -4 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal -4 binary64)) (*.f64 x x))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal 16 binary64) (.f64 (.f64 p p) #s(literal -4 binary64))) (.f64 x x))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 p (.f64 p #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x)))) (*.f64 x x))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 256 binary64) (pow.f64 p #s(literal 8 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 p (.f64 p #s(literal 4 binary64)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -16 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(* -4 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal -4 binary64)) (*.f64 x x))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 p (.f64 p (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (.f64 x x))))
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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(* -12 (/ (pow p 4) (pow x 2)))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))
(pow p 4)
(pow.f64 p #s(literal 4 binary64))

eval119.0ms (1.3%)

Memory: -12.0MiB live, 296.3MiB allocated
Compiler: Compiled 26 278 to 3 198 computations (87.8% saved)

prune132.0ms (1.4%)

Memory

25.8MiB live, 298.0MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	855	5	860
Fresh	3	2	5
Picked	2	3	5
Done	0	6	6
Total	860	16	876

Accuracy

100.0%

Counts

876 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	25.5%	(/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p p)) (*.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x))
✓	59.0%	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
	26.3%	(/.f64 p (neg.f64 x))
✓	6.4%	(/.f64 p x)
✓	6.4%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
✓	58.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
	61.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	80.0%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	59.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
	11.4%	(sqrt.f64 (/.f64 (fma.f64 p p (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 x x))) (.f64 x x)))
	11.9%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 p p) (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (.f64 x x))) (.f64 p p)) (*.f64 x x)))
	17.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -2 binary64))))
✓	61.8%	(sqrt.f64 #s(literal 1/2 binary64))
✓	30.0%	#s(literal 1 binary64)
✓	6.2%	#s(literal 0 binary64)

Compiler

Compiled 619 to 257 computations (58.5% saved)

regimes111.0ms (1.2%)

Memory

-13.1MiB live, 167.3MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p p)) (*.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x (.f64 x p))) p) (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (fma.f64 p p (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 p p) (.f64 p p))) (.f64 x x))) (.f64 x x)))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 p p) (/.f64 (.f64 p (.f64 p #s(literal -12 binary64))) (.f64 x x))) (.f64 p p)) (*.f64 x x)))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (*.f64 x x)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 x))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64))))))))

Outputs

(/.f64 (fma.f64 (/.f64 (*.f64 p (*.f64 p p)) (*.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x))

(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

7 calls:

32.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
31.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
11.0ms	x
9.0ms	p
9.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
84.9%	2	`p`
80.0%	1	`x`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
84.9%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes26.0ms (0.3%)

Memory

-21.8MiB live, 51.9MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs
(/.f64 p (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))))

Calls

4 calls:

7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
7.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
5.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
98.4%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
98.4%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.4%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes35.0ms (0.4%)

Memory

17.3MiB live, 89.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs
(/.f64 p (neg.f64 x))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))

Calls

4 calls:

14.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
10.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
5.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.2%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.2%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.2%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes15.0ms (0.2%)

Memory

2.7MiB live, 40.0MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))

Outputs
(/.f64 p (neg.f64 x))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Calls

4 calls:

5.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.1%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.1%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.1%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes14.0ms (0.2%)

Memory

-4.3MiB live, 32.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))

Outputs
(/.f64 p (neg.f64 x))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

4 calls:

5.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
98.2%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
98.2%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.2%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes27.0ms (0.3%)

Memory

-5.2MiB live, 35.6MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 p x)

Outputs
#s(literal 0 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

7 calls:

15.0ms	p
2.0ms	x
2.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
64.1%	2	`x`
70.6%	2	`p`
70.6%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
78.2%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
78.2%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
78.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
78.2%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes10.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Calls

7 calls:

2.0ms	p
2.0ms	x
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
30.0%	1	`x`
30.0%	1	`p`
30.0%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
32.7%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
32.7%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
32.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
32.7%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes11.0ms (0.1%)

Memory

-15.5MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

7 calls:

3.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
1.0ms	x
1.0ms	p
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)

Results

Accuracy	Segments	Branch
6.2%	1	`p`
6.2%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
6.2%	1	`x`
6.2%	1	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
6.2%	1	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
6.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
6.2%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999879803	-0.9999999977797619

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999977797619	-0.012762532235090765

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5096733287029669	0.9999999994593137
0.0ms	-0.9999999977797619	-0.012762532235090765

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5096733287029669	0.9999999994593137
0.0ms	-0.9999999977797619	-0.012762532235090765

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.275610501205837e-5	0.5096733287029669
0.0ms	-0.9999999977797619	-0.012762532235090765

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.275610501205837e-5	0.5096733287029669
0.0ms	-1.0	-0.9999999999879803

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999999879803

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify12.0ms (0.1%)

Memory

-16.7MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	261
1	73	261
2	83	261
3	92	261
4	98	261
5	100	261

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199236726593/9007199254740992 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p p)) (.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199236726593/9007199254740992 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p p)) (.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -9007199236726593/9007199254740992 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p p)) (.f64 x x)) #s(literal -3/2 binary64) p) (neg.f64 x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 5404319552844595/9007199254740992 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 5902958103587057/147573952589676412928 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

soundness842.0ms (9.2%)

Memory

50.7MiB live, 872.8MiB allocated

Rules

10 484×	`lower-fma.f64`
10 484×	`lower-fma.f32`
10 164×	`lower-fma.f64`
10 164×	`lower-fma.f32`
9 494×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	5469
1	2679	5368
0	8345	5067
0	401	2283
1	1223	2176
2	4346	2074
0	8186	1934
0	26	112
0	49	111
1	148	107
2	917	95
0	8336	95
0	14	53
0	23	53
1	77	53
2	501	53
3	6985	53
0	8510	48
0	438	3032
1	1307	2978
2	4225	2921
0	8045	2754

Stop Event

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

Compiler

Compiled 676 to 367 computations (45.7% saved)

preprocess111.0ms (1.2%)

Memory: -32.4MiB live, 218.2MiB allocated
Compiler: Compiled 690 to 222 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze458.0ms (5%)

sample2.1s (22.9%)

preprocess86.0ms (0.9%)

explain211.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize51.0ms (0.6%)

series27.0ms (0.3%)

rewrite276.0ms (3%)

simplify569.0ms (6.2%)

eval50.0ms (0.6%)

prune69.0ms (0.8%)

simplify0.0ms (0%)

localize96.0ms (1%)

series26.0ms (0.3%)

rewrite323.0ms (3.5%)

simplify523.0ms (5.7%)

eval127.0ms (1.4%)

prune87.0ms (1%)

simplify0.0ms (0%)

localize103.0ms (1.1%)

series31.0ms (0.3%)

rewrite430.0ms (4.7%)

simplify468.0ms (5.1%)

eval178.0ms (2%)

prune160.0ms (1.8%)

simplify0.0ms (0%)

localize311.0ms (3.4%)

series47.0ms (0.5%)

rewrite407.0ms (4.5%)

simplify441.0ms (4.8%)

eval119.0ms (1.3%)

prune132.0ms (1.4%)

regimes111.0ms (1.2%)

regimes26.0ms (0.3%)

regimes35.0ms (0.4%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness842.0ms (9.2%)

preprocess111.0ms (1.2%)

end0.0ms (0%)

Profiling