Metrics for Given's Rotation SVD example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze491.0ms (5.8%)

Memory

8.6MiB live, 575.2MiB 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)

sample2.4s (28.2%)

Memory

52.3MiB live, 3 002.9MiB allocated

Samples

1.2s	6 214×	0	valid
339.0ms	1 010×	2	valid
196.0ms	392×	3	valid
137.0ms	640×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 326.0ms (23.7% of total)

ival-mult: 275.0ms (20% of total)

ival-sqrt: 195.0ms (14.2% of total)

ival-add: 165.0ms (12% of total)

ival-div: 156.0ms (11.4% of total)

ival-<: 91.0ms (6.6% of total)

adjust: 82.0ms (6% of total)

ival-fabs: 58.0ms (4.2% of total)

ival-and: 11.0ms (0.8% of total)

exact: 10.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain284.0ms (3.4%)

Memory

-31.2MiB live, 297.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
28	-	2	(9.014204312959359e-26 -3.397835819369561e+130)	`(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)))))))`
26	-	0	-	`(+.f64 #s(literal 1 binary64) (/.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	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
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	67	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	67
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	67
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	26	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	26	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	6
↳	`(.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	11
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	58

Confusion

	Predicted +	Predicted -
+	52	0
-	67	137

Precision

0.4369747899159664

Recall

1.0

Confusion?

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

Precision?

0.4369747899159664

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	398×	0	valid
24.0ms	58×	2	valid
8.0ms	24×	3	valid
6.0ms	32×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

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

ival-mult: 14.0ms (32.3% of total)

ival-sqrt: 11.0ms (25.4% of total)

ival-add: 8.0ms (18.5% of total)

ival-div: 6.0ms (13.9% of total)

adjust: 4.0ms (9.2% of total)

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

exact: 1.0ms (2.3% of total)

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

preprocess68.0ms (0.8%)

Memory

6.0MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	93
1	90	87
2	192	87
3	400	87
4	675	87
5	1012	87
6	1355	87
7	1569	87
8	1722	87
9	1967	87
10	2038	87
11	2070	87
12	2073	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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)))

Symmetry

(abs p)

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.1%	(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)))))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
cost-diff	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)))))))
cost-diff	1	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
cost-diff	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))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	38	94
2	45	94
3	47	94
4	48	94
0	48	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize62.0ms (0.7%)

Memory

-11.5MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.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	5.787426262510096	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	6.155211934784371	(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	15.581581012444742	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

19.0ms	199×	0	valid
14.0ms	16×	1	valid
8.0ms	29×	2	valid
4.0ms	12×	3	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (32.8% of total)

ival-sqrt: 5.0ms (23.4% of total)

ival-add: 4.0ms (18.8% of total)

ival-div: 3.0ms (14.1% of total)

adjust: 2.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

35.6MiB live, 35.6MiB allocated

Counts

5 → 83

Calls

Call 1

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

Outputs
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)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (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))))))))
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))))))
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)))))
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)))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 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))))))
(+ 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)))))
(* 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)))))))
(+ 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) (* -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 (* -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)))
(* -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))))))))
(+ 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)))))
(+ (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))))))))
(+ 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)))))
(+ (* 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)))))
(+ 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 x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 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)))))
(+ 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))))))
(* 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)))))))
(/ (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 (/ (* 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))
(* 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))
(* -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))))))))

Calls

6 calls:

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

simplify189.0ms (2.2%)

Memory

1.9MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2199
1	1325	2092
2	4653	1998
0	8065	1854

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
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)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (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))))))))
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))))))
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)))))
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)))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 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))))))
(+ 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)))))
(* 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)))))))
(+ 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) (* -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 (* -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)))
(* -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))))))))
(+ 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)))))
(+ (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))))))))
(+ 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)))))
(+ (* 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)))))
(+ 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 x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 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)))))
(+ 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))))))
(* 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)))))))
(/ (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 (/ (* 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))
(* 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))
(* -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))))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))))
(+ (* (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))))))
(fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (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))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 p p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))) (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
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(/ (+ (* 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))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 p p)) (.f64 x x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 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))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))
(* 2 (/ (pow p 2) (pow x 2)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (.f64 (.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (pow.f64 x #s(literal 4 binary64))))) (.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 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))))
(* -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 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x))

rewrite272.0ms (3.2%)

Memory

-6.1MiB live, 203.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	77	66
2	501	66
3	6984	66
0	8509	59

Stop Event

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

Counts

5 → 276

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 p p)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 p p) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 p #s(literal 4 binary64)) p))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 p #s(literal 4 binary64)) p))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/2 binary64)))

eval74.0ms (0.9%)

Memory: 15.5MiB live, 160.3MiB allocated
Compiler: Compiled 13 011 to 2 044 computations (84.3% saved)

prune19.0ms (0.2%)

Memory

-33.1MiB live, 61.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	343	12	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	12	356

Accuracy

99.8%

Counts

356 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	52.8%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
▶	78.2%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
	52.8%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
	65.1%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	5.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
▶	52.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	16.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
	37.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	56.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	52.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
▶	24.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))

Compiler

Compiled 660 to 438 computations (33.6% saved)

simplify37.0ms (0.4%)

Memory

-0.3MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
cost-diff	0	(/.f64 p x)
cost-diff	0	(*.f64 (/.f64 p x) (/.f64 p x))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
cost-diff	0	(/.f64 x p)
cost-diff	0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	285
0	63	278
1	103	271
2	154	271
3	289	271
4	483	271
5	574	271
6	698	271
7	820	271
8	920	271
9	1048	271
10	1059	271
11	1060	271
0	1060	271

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize157.0ms (1.9%)

Memory

1.7MiB live, 189.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.41015625	(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.4453125	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
accuracy	48.120875785722056	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
accuracy	0.0	(/.f64 p x)
accuracy	0.248378759768442	(*.f64 (/.f64 p x) (/.f64 p x))
accuracy	6.155211934784371	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
accuracy	47.516565220893675	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x)))
accuracy	0.0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 x p)
accuracy	6.155211934784371	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	30.40335805674639	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	6.155211934784371	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	28.16233321381278	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 p #s(literal 4 binary64))
accuracy	6.155211934784371	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
accuracy	13.785088599087855	(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64))
accuracy	15.581581012444742	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))

Samples

60.0ms	199×	0	valid
22.0ms	29×	2	valid
9.0ms	12×	3	valid
9.0ms	16×	1	valid

Compiler

Compiled 250 to 37 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 24.0ms (30.7% of total)

ival-mult: 19.0ms (24.3% of total)

ival-add: 16.0ms (20.5% of total)

ival-sqrt: 13.0ms (16.6% of total)

adjust: 5.0ms (6.4% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series38.0ms (0.4%)

Memory

-2.8MiB live, 51.1MiB allocated

Counts

20 → 107

Calls

Call 1

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

Outputs
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))))))
(+ 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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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)))))
(* (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))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(/ (pow p 2) (pow x 2))
(/ p x)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (sqrt 2))
(* 4 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)))) (+ (* 1/8 (/ 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)))))))
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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 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)))))))
(+ (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) (* -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)))
(+ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -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))))))))
(+ (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)))
(+ (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)))))))
(+ 1/2 (* 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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 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)))))
(+ (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))))))))
(* -1 x)
(+ 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 (+ (* -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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) 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 (/ (* (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)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -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))
(/ (+ (* 1/4 (/ (+ (* -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))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) 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 (/ (+ (* 1/4 (/ (* (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))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (neg x))
6.0ms	p	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (neg x))
6.0ms	p	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (neg x))
5.0ms	x	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (neg x))
4.0ms	x	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (neg x))

simplify186.0ms (2.2%)

Memory

21.2MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	2890
1	1701	2747
2	6090	2641
0	8093	2463

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

Calls

Call 1

Inputs
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))))))
(+ 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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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)))))
(* (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))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(/ (pow p 2) (pow x 2))
(/ p x)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (sqrt 2))
(* 4 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)))) (+ (* 1/8 (/ 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)))))))
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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 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)))))))
(+ (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) (* -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)))
(+ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -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))))))))
(+ (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)))
(+ (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)))))))
(+ 1/2 (* 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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 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)))))
(+ (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))))))))
(* -1 x)
(+ 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 (+ (* -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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) 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 (/ (* (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)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -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))
(/ (+ (* 1/4 (/ (+ (* -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))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) 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 (/ (+ (* 1/4 (/ (* (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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -10 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(fma.f64 (neg.f64 p) (/.f64 p (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64))) p) p (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 7 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) 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 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 p p) x))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))))
(+ (* (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))))))
(fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (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))))))))
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(+ 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)))))
(fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)))
(+ 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))))))
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(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(fma.f64 (neg.f64 p) (/.f64 p (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x)
(+ (* -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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) 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 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.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))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (+.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) x))
(/.f64 (fma.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) 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)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) 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 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x 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))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))

rewrite162.0ms (1.9%)

Memory

-4.2MiB live, 312.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	255
0	63	242
1	211	219
2	1196	217
0	8986	217

Stop Event

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

Counts

20 → 538

Calls

Call 1

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

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

eval135.0ms (1.6%)

Memory: -6.1MiB live, 248.9MiB allocated
Compiler: Compiled 22 369 to 2 850 computations (87.3% saved)

prune20.0ms (0.2%)

Memory

-23.1MiB live, 57.8MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	692	4	696
Fresh	3	4	7
Picked	2	3	5
Done	0	0	0
Total	697	11	708

Accuracy

99.9%

Counts

708 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	52.8%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
✓	78.2%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
▶	52.8%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
▶	65.1%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
✓	52.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	56.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	52.3%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
	24.8%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))
▶	37.2%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
▶	24.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))

Compiler

Compiled 546 to 344 computations (37% saved)

simplify135.0ms (1.6%)

Memory

11.6MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
cost-diff	1	(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
cost-diff	1	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	656
0	88	655
1	141	653
2	212	653
3	360	653
4	682	653
5	1314	653
6	2635	653
7	4770	653
8	6248	653
9	7889	653
0	8112	648

Stop Event

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

Calls

Call 1

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

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

localize386.0ms (4.6%)

Memory

11.6MiB live, 335.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	6.1548758420314265	(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	6.596628668310427	(-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))
accuracy	15.650778782067587	(pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))
accuracy	21.87659539765991	(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	6.8166717122001765	(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
accuracy	8.738380287829711	(/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
accuracy	15.581581012444742	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	29.70586032784392	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.25390625	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
accuracy	48.120875785722056	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
accuracy	40.205727942129165	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
accuracy	6.155211934784371	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
accuracy	6.596628668310427	(-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))
accuracy	15.650778782067587	(pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))
accuracy	21.87659539765991	(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))

Samples

165.0ms	61×	2	valid
69.0ms	26×	3	valid
60.0ms	133×	0	valid
35.0ms	36×	1	valid

Compiler

Compiled 713 to 55 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 53.0ms (21.8% of total)

ival-pow: 51.0ms (21% of total)

ival-sqrt: 47.0ms (19.4% of total)

ival-div: 34.0ms (14% of total)

adjust: 33.0ms (13.6% of total)

ival-add: 16.0ms (6.6% of total)

ival-sub: 5.0ms (2.1% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series166.0ms (2%)

Memory

-14.8MiB live, 104.1MiB allocated

Counts

19 → 275

Calls

Call 1

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

Outputs
(* (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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(/ 1 (pow x 3))
(+ (* -6 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))
(+ (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 3) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 3) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 3) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))
(+ 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))))))
(* -1 (/ p x))
(+ (* (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))))))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (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)))))
(* 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)))))
(+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* -3 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2)))))
(+ (sqrt 2) (* (pow p 2) (- (* 1/2 (/ (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(+ (sqrt 2) (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* -3 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(/ 1 x)
(+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))
(+ (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 7))) (* 6 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(* -2 (/ (pow p 2) (pow x 3)))
(* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 7))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 186 (/ (pow p 2) (pow x 9))) (* 44 (/ 1 (pow x 7))))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
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)))))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (+ (* -1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) (pow p 3))) (* 1/4 (/ x p)))))
(+ 1 (* 1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3))))))
(/ 1/8 (pow p 3))
(/ (+ 1/8 (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))) (pow p 3))
(/ (+ 1/8 (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2))))) (pow p 3))
(/ (+ 1/8 (+ (* -4 (/ (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))))))) (pow p 6))) (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))))) (pow p 3))
(+ (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) (+ (* -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))))))
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4)))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) 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 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(+ (sqrt 1/2) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3))))
(+ (sqrt 1/2) (+ (* -1/2048 (/ (* (pow x 3) (* (sqrt 1/2) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (pow p 5))) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3)))))
(+ (sqrt 1/2) (+ (* -1/512 (/ (* (pow x 6) (sqrt 1/2)) (pow p 6))) (+ (* -1/2048 (/ (* (pow x 3) (* (sqrt 1/2) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (pow p 5))) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3))))))
(+ 1 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -1/512 (/ (pow x 6) (pow p 6))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(/ 1/2 p)
(/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1 (/ (+ (* 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 2) (pow p 2)))))) p)
(/ -1/2 p)
(/ (- (* 1/4 (/ x p)) 1/2) p)
(/ (- (+ (* 1/16 (/ (pow x 2) (pow p 2))) (* 1/4 (/ x p))) 1/2) p)
(/ (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))) (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2))))) p)
(* 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)))))))
(+ 1 (* -1/2 (/ x p)))
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))
(- (+ 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))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (* x (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) p))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p))) p)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))) (* 1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) p))) p)) (* 1/4 x)) p)))
(+ 1 (* -1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3))))
(/ -1/8 (pow p 3))
(* -1 (/ (+ 1/8 (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))) (pow p 3)))
(* -1 (/ (+ 1/8 (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2))))) (pow p 3)))
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(/ -1 (pow x 3))
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(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
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(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
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(/ (pow p 2) (pow x 2))
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(* -1 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/2) 2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (pow x 4)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/2) 2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* 1/4 (/ (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (pow x 6)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (pow x 4)) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/2) 2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
(* -1 (* (/ (sqrt 1/2) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 4) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* 1/4 (/ (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 6) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 4) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
(* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 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)))))) x))
(/ 2 x)
(* -1 (/ (- (* 4 (/ (pow p 2) (pow x 2))) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) x))
(* -1 (/ (- (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (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)))))) x))
(* -1 (/ (- (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 64 (/ (pow p 6) (pow x 6))))) (+ 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))))))) x))
(* -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))))))))
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* 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 4))) (* 2 (/ (pow p 2) (pow x 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	p	@	0	((sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p 4) p) (* x x)) -3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (* (/ -1 x) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ -1 x) (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (sqrt (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (pow (+ (* (* p 4) p) (* x x)) -1/2) (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
28.0ms	x	@	-inf	((sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p 4) p) (* x x)) -3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (* (/ -1 x) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ -1 x) (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (sqrt (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (pow (+ (* (* p 4) p) (* x x)) -1/2) (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
24.0ms	x	@	0	((sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p 4) p) (* x x)) -3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (* (/ -1 x) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ -1 x) (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (sqrt (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (pow (+ (* (* p 4) p) (* x x)) -1/2) (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
18.0ms	x	@	inf	((sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p 4) p) (* x x)) -3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (* (/ -1 x) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ -1 x) (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (sqrt (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (pow (+ (* (* p 4) p) (* x x)) -1/2) (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
8.0ms	p	@	inf	((sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p 4) p) (* x x)) -3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (* (/ -1 x) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ -1 x) (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (sqrt (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* x (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2))) 1))) (* (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (sqrt 1/2)) (sqrt (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1)) (pow (+ (* (* p 4) p) (* x x)) -1/2) (- (/ x (+ (* (* p 4) p) (* x x))) (pow (+ (* (* p 4) p) (* x x)) -1/2)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))

simplify272.0ms (3.2%)

Memory

23.6MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1743	15981
1	5697	14507
0	8164	13766

Stop Event

1×	iter limit
1×	node limit

Counts

275 → 274

Calls

Call 1

Inputs
(* (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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(/ 1 (pow x 3))
(+ (* -6 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))
(+ (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 3) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 3) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 3) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))
(+ 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))))))
(* -1 (/ p x))
(+ (* (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))))))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (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)))))
(* 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)))))
(+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* -3 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2)))))
(+ (sqrt 2) (* (pow p 2) (- (* 1/2 (/ (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(+ (sqrt 2) (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* -3 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 9 (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(/ 1 x)
(+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))
(+ (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 7))) (* 6 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(* -2 (/ (pow p 2) (pow x 3)))
(* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 7))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 186 (/ (pow p 2) (pow x 9))) (* 44 (/ 1 (pow x 7))))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
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)))))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (+ (* -1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) (pow p 3))) (* 1/4 (/ x p)))))
(+ 1 (* 1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3))))))
(/ 1/8 (pow p 3))
(/ (+ 1/8 (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))) (pow p 3))
(/ (+ 1/8 (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2))))) (pow p 3))
(/ (+ 1/8 (+ (* -4 (/ (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))))))) (pow p 6))) (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))))) (pow p 3))
(+ (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) (+ (* -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))))))
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4)))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) 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 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(+ (sqrt 1/2) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3))))
(+ (sqrt 1/2) (+ (* -1/2048 (/ (* (pow x 3) (* (sqrt 1/2) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (pow p 5))) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3)))))
(+ (sqrt 1/2) (+ (* -1/512 (/ (* (pow x 6) (sqrt 1/2)) (pow p 6))) (+ (* -1/2048 (/ (* (pow x 3) (* (sqrt 1/2) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (pow p 5))) (* 1/16 (/ (* (pow x 3) (sqrt 1/2)) (pow p 3))))))
(+ 1 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -1/512 (/ (pow x 6) (pow p 6))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(/ 1/2 p)
(/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1 (/ (+ (* 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 2) (pow p 2)))))) p)
(/ -1/2 p)
(/ (- (* 1/4 (/ x p)) 1/2) p)
(/ (- (+ (* 1/16 (/ (pow x 2) (pow p 2))) (* 1/4 (/ x p))) 1/2) p)
(/ (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))) (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2))))) p)
(* 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)))))))
(+ 1 (* -1/2 (/ x p)))
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))
(- (+ 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))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (* x (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) p))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p))) p)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))) (* 1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) p))) p)) (* 1/4 x)) p)))
(+ 1 (* -1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3))))
(/ -1/8 (pow p 3))
(* -1 (/ (+ 1/8 (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))) (pow p 3)))
(* -1 (/ (+ 1/8 (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2))))) (pow p 3)))
(* -1 (/ (+ 1/8 (+ (* -4 (/ (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))))))) (pow p 6))) (+ (* -4 (/ (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (pow p 4))) (* -1/1024 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow p 2)))))) (pow p 3)))
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(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
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(/ -1 (pow x 3))
(* -1 (/ (+ 1 (* -1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))) (pow x 3)))
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(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
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(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
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(/ (pow p 2) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
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(* -1 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
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(* -1 (* (/ (sqrt 1/2) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 4) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/4 (* (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* 1/4 (/ (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 6) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/2 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (* 1/16 (/ (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2) (* (pow (sqrt 1/2) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 4) (sqrt 1/2))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/2) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
(* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))
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(/ 2 x)
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(* -1 x)
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(* -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))))))))
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Outputs
(* (sqrt 1/2) (sqrt 2))
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1
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p p) #s(literal 12 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 12 binary64))))) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 12 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64)))))) (.f64 (sqrt.f64 (.f64 (*.f64 p p) #s(literal 12 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) x)
(* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) x)
(* -1 (/ (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) x)
(* -1 (/ (+ 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)))))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ (pow p 2) (pow x 2))) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 p p) x) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x)))) x)
(* -1 (/ (- (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (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)))))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)
(* -1 (/ (- (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 64 (/ (pow p 6) (pow x 6))))) (+ 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))))))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1 binary64)))
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 2 binary64))
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))
(+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(- (+ 2 (* -1/2 (/ (+ (* 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 4))) (* 2 (/ (pow p 2) (pow x 2)))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (pow.f64 x #s(literal 4 binary64)))))

rewrite284.0ms (3.4%)

Memory

3.0MiB live, 85.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	383
0	88	403
1	337	266
2	2126	266
0	8953	259

Stop Event

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

Counts

19 → 733

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))) x)) (pow.f64 (.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64))))) (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
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(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (/.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (fma.f64 x (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) (+.f64 (fma.f64 x (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)))))
(-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(+.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
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(.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) p) p))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64))))) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64)))) (.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64)))))
(fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 x (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -3 binary64)) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))

eval247.0ms (2.9%)

Memory: -6.7MiB live, 182.7MiB allocated
Compiler: Compiled 62 625 to 4 806 computations (92.3% saved)

prune41.0ms (0.5%)

Memory

10.2MiB live, 49.8MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	946	4	950
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	949	12	961

Accuracy

99.9%

Counts

961 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
✓	78.2%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
▶	52.9%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
✓	52.8%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
▶	42.5%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
	42.5%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
✓	52.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	56.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	52.3%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
▶	24.8%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
✓	37.2%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
✓	24.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))

Compiler

Compiled 635 to 358 computations (43.6% saved)

simplify183.0ms (2.2%)

Memory

1.6MiB live, 90.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
cost-diff	1	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
cost-diff	19	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
cost-diff	0	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
cost-diff	0	(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
cost-diff	0	(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	(neg.f64 p)
cost-diff	0	(/.f64 (neg.f64 p) x)
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
cost-diff	1	(.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	848
0	110	850
1	183	850
2	318	840
3	660	836
4	1626	741
5	3293	741
6	6060	741
0	8223	733

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(*.f64 p #s(literal 4 binary64))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
x
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
p
#s(literal 1/8 binary64)
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(neg.f64 x)
x
(/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal -3/2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
(+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))

Outputs
(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 p p) (.f64 (neg.f64 x) x))) x #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) 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 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
x
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
p
#s(literal 1/8 binary64)
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (/.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))))))) (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 p p) (*.f64 (neg.f64 x) x))) x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 p p) (*.f64 (neg.f64 x) x))) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 p p) (.f64 (neg.f64 x) x))) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 p p) (.f64 (neg.f64 x) x))) x #s(literal 1 binary64))
(neg.f64 x)
x
(/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(sqrt.f64 (-.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 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) 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 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal -3/2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x))
(/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal -1 binary64))
(/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x)
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(*.f64 p p)
(+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(+.f64 (/.f64 x (fma.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 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))

localize675.0ms (8%)

Memory

8.0MiB live, 522.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.600992534244817	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
accuracy	15.650778782067587	(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))
accuracy	21.87659539765991	(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	24.766160648270127	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
accuracy	6.8166717122001765	(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
accuracy	12.93517588880014	(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
accuracy	15.581581012444742	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	29.70586032784392	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
accuracy	0.033535009768442016	(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.1875	(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
accuracy	0.4453125	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
accuracy	30.526783379015416	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.0	(/.f64 (neg.f64 p) x)
accuracy	0.0	(neg.f64 p)
accuracy	48.120875785722056	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
accuracy	6.8166717122001765	(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
accuracy	8.738380287829711	(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
accuracy	15.581581012444742	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	29.79363635961135	(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))

Samples

352.0ms	61×	2	valid
100.0ms	26×	3	valid
84.0ms	133×	0	valid
36.0ms	36×	1	valid

Compiler

Compiled 909 to 64 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 491.0ms

ival-add: 150.0ms (30.6% of total)

ival-pow: 113.0ms (23% of total)

ival-mult: 86.0ms (17.5% of total)

ival-div: 64.0ms (13% of total)

adjust: 48.0ms (9.8% of total)

ival-sqrt: 22.0ms (4.5% of total)

ival-sub: 5.0ms (1% of total)

ival-neg: 3.0ms (0.6% of total)

exact: 1.0ms (0.2% of total)

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

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

series140.0ms (1.7%)

Memory

-34.2MiB live, 125.6MiB allocated

Counts

23 → 260

Calls

Call 1

Inputs
(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))

Outputs
(* 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)))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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))))))))
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 (* -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))))))
(* -1 (/ p x))
(* -1 p)
(* 1/8 (/ x (* p (sqrt 1/2))))
(/ (+ (* 1/8 (/ x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ x (* p (sqrt 1/2)))
(* p (sqrt 1/2))
(* 2 (/ (* p (sqrt 1/2)) x))
(* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* 12 (/ (* (pow p 2) (sqrt 1/2)) (pow x 5)))))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))
(* 2 (/ p x))
(* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* 12 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* -2 (/ (pow p 2) (pow x 3)))
(* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 7))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 186 (/ (pow p 2) (pow x 9))) (* 44 (/ 1 (pow x 7))))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* -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)))))
(+ (* (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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
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)))))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(/ 1 x)
(+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))
(+ (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 7))) (* 6 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4)))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4))))))
(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) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(+ 1/2 (* 1/4 (/ x p)))
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(+ (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) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))
(/ -1/2 p)
(/ (- (* 1/4 (/ x p)) 1/2) p)
(/ (- (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) (+ 1/2 (* -1/4 (/ x p)))) p)
(/ (- (* -1 (/ (+ (* -1/4 (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (pow p 3))) (+ 1/2 (+ (* -1/4 (/ x p)) (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2)))))) p)
-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)))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
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(* 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)))))))
(+ 1 (* -1/2 (/ x p)))
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(- (+ 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))))
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(+ 1 (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3))))))
(/ 1/2 p)
(/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1 (/ (+ (* 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 2) (pow p 2)))))) p)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (* x (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) p))) p)))
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(* -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))))))))
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(* -1 (/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1 (/ (+ (* 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 2) (pow p 2)))))) p))
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(pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 64 (pow p 6)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))) (+ (/ (* (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))))) (- (* -64 (/ (pow p 6) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (+ (* -4 (/ (* (pow p 2) (+ (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (* (pow p 2) (+ (* -16 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (* 64 (pow p 6))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))) (/ (* (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))))) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))) (/ (* (+ (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (* (pow p 2) (+ (* -16 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (* 64 (pow p 6)))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))) 2)))))) (pow x 6))) (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (+ (* -1 (/ (* (- (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (* -1/2 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (pow (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))) 2)))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (* -1/2 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (* -64 (/ (pow p 6) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (+ (* -4 (/ (* (pow p 2) (+ (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (* (pow p 2) (+ (* -16 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (* 64 (pow p 6))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))) (/ (* (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))))) (pow (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))) 2))))) (pow x 4))) (* 1/2 (/ (- (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (* -1/2 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (* 16 (/ (pow p 4) (+ (* -2 (pow p 2)) (* 4 (pow p 2))))) (* -4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (* (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))))) (pow (+ (* -2 (pow p 2)) (* 4 (pow p 2))) 2))))) (pow (+ 1 (* 4 (/ (pow p 2) (+ (* -2 (pow p 2)) (* 4 (pow p 2)))))) 2)))) (pow x 2)))))) (pow x 2))
(* -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))))))))
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* 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 4))) (* 2 (/ (pow p 2) (pow x 2)))))
(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2))))) (pow x 2))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))))) (pow x 2))
(/ -1 x)
(* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 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)))))) x))

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	-inf	((+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (sqrt (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ x (* (sqrt 1/2) p)) 1/8) (sqrt 1/2)) (/ x (* (sqrt 1/2) p)) (* (sqrt 1/2) p) (/ (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x))))) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1))) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p p) 4) (* x x)) -1/2))
41.0ms	x	@	inf	((+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (sqrt (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ x (* (sqrt 1/2) p)) 1/8) (sqrt 1/2)) (/ x (* (sqrt 1/2) p)) (* (sqrt 1/2) p) (/ (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x))))) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1))) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p p) 4) (* x x)) -1/2))
18.0ms	p	@	0	((+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (sqrt (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ x (* (sqrt 1/2) p)) 1/8) (sqrt 1/2)) (/ x (* (sqrt 1/2) p)) (* (sqrt 1/2) p) (/ (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x))))) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1))) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p p) 4) (* x x)) -1/2))
6.0ms	p	@	inf	((+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (sqrt (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ x (* (sqrt 1/2) p)) 1/8) (sqrt 1/2)) (/ x (* (sqrt 1/2) p)) (* (sqrt 1/2) p) (/ (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x))))) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1))) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p p) 4) (* x x)) -1/2))
4.0ms	x	@	0	((+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (sqrt (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (/ (* (+ (* (* (neg x) x) (pow (+ (* (* p p) 4) (* x x)) -1)) 1) 1/2) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ x (* (sqrt 1/2) p)) 1/8) (sqrt 1/2)) (/ x (* (sqrt 1/2) p)) (* (sqrt 1/2) p) (/ (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))) (* (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1)) (+ (* (neg x) (/ x (+ (* (* p 4) p) (* x x)))) 1) (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x))))) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1)))) (* (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (/ 1/2 (+ (* x (/ (/ (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (* p p) 4) (* x x))) (+ (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ x (+ (* (* p p) 4) (* x x)))))) 1))) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (pow (+ (* (* p 4) p) (* x x)) -3/2) (pow x 3)) 1) (pow (+ (* (* p p) 4) (* x x)) -1/2))

simplify246.0ms (2.9%)

Memory

33.8MiB live, 313.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1740	19710
1	5643	18469
0	8094	17340

Stop Event

1×	iter limit
1×	node limit

Counts

260 → 259

Calls

Call 1

Inputs
(* 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)))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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))))))))
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 (* -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))))))
(* -1 (/ p x))
(* -1 p)
(* 1/8 (/ x (* p (sqrt 1/2))))
(/ (+ (* 1/8 (/ x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ x (* p (sqrt 1/2)))
(* p (sqrt 1/2))
(* 2 (/ (* p (sqrt 1/2)) x))
(* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* 12 (/ (* (pow p 2) (sqrt 1/2)) (pow x 5)))))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))
(* 2 (/ p x))
(* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* 12 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* -2 (/ (pow p 2) (pow x 3)))
(* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 7))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 186 (/ (pow p 2) (pow x 9))) (* 44 (/ 1 (pow x 7))))) (* 10 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3)))))
(* -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)))))
(+ (* (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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
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)))))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (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)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(/ 1 x)
(+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))
(+ (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 7))) (* 6 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (/ 1 x))
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
1/2
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4)))))
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4))))))
(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) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(+ 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)))))
(+ (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) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))
(/ -1/2 p)
(/ (- (* 1/4 (/ x p)) 1/2) p)
(/ (- (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) (+ 1/2 (* -1/4 (/ x p)))) p)
(/ (- (* -1 (/ (+ (* -1/4 (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))) (pow p 3))) (+ 1/2 (+ (* -1/4 (/ x p)) (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2)))))) p)
-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)))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (+ (* -1/2 (/ (+ (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) (pow p 3))) (* 1/4 (/ x p)))))
(* 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)))))))
(+ 1 (* -1/2 (/ x p)))
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))
(- (+ 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 (* 1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3))))))
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(/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p)
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(* -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))))))))
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
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(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
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(/ -1 x)
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Outputs
(* 4 (/ (pow p 2) (pow x 2)))
(.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 p p) x))
(* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
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(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
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(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) #s(literal 12 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 x x)))) (*.f64 x x))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2))))) (pow x 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) #s(literal 12 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 x x))))) (*.f64 x x))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) #s(literal 12 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -64 binary64) (-.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 x x)) (/.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) x)
(* -1 (/ (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) x)
(* -1 (/ (+ 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)))))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) x)

rewrite225.0ms (2.7%)

Memory

-4.0MiB live, 385.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	492
0	110	481
1	428	436
2	2768	367
0	8565	364

Stop Event

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

Counts

23 → 778

Calls

Call 1

Inputs
(fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))

Outputs
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (neg.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 4 binary64))) (fma.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) x) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) (.f64 x x)) x #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) x) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) x) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 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 -3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) x) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) x) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 x (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)))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 x (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.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 (pow.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.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))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal 2 binary64)) #s(literal -1/4 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 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 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) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x 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) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64) (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64))))

eval165.0ms (2%)

Memory: 10.6MiB live, 356.9MiB allocated
Compiler: Compiled 71 151 to 5 471 computations (92.3% saved)

prune30.0ms (0.4%)

Memory

-1.1MiB live, 81.4MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 007	2	1 009
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	1 008	13	1 021

Accuracy

99.9%

Counts

1 021 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
✓	78.2%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
✓	52.9%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
✓	52.8%	(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
	42.6%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
	42.5%	(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
	44.4%	(sqrt.f64 (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) (.f64 x x)) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
✓	52.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	56.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	52.3%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	24.8%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
✓	37.2%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
✓	24.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))

Compiler

Compiled 1 220 to 404 computations (66.9% saved)

regimes46.0ms (0.5%)

Memory

17.1MiB live, 95.2MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #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)))))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(sqrt.f64 (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) #s(literal -3/2 binary64)) (.f64 x x)) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))))

Outputs

#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))

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

Calls

7 calls:

7.0ms	x
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
7.0ms	p
6.0ms	(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)))))))
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)

Results

Accuracy	Segments	Branch
85.8%	3	`p`
84.0%	2	`x`
99.9%	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)))))))`
99.9%	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))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
84.5%	3	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes20.0ms (0.2%)

Memory

-16.3MiB live, 33.6MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))

Outputs

#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))

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

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

Calls

4 calls:

9.0ms	(/.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)))))
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))))))

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 59 to 47 computations (20.3% saved)

regimes10.0ms (0.1%)

Memory

-17.5MiB live, 21.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x)))

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

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

Calls

4 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))))))
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)))))))
2.0ms	(+.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
98.6%	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)))))))`
98.6%	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))))))`
98.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.6%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes11.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

2.0ms	x
2.0ms	p
2.0ms	(.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
71.5%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
64.7%	2	`x`
71.5%	2	`p`
77.2%	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)))))))`
77.2%	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))))))`
77.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
77.2%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes8.0ms (0.1%)

Memory

-17.8MiB live, 21.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Calls

7 calls:

2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	p
1.0ms	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)))))))
1.0ms	(.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
37.2%	1	`x`
37.2%	1	`p`
37.2%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
37.2%	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)))))))`
37.2%	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))))))`
37.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
37.2%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999893017838405

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005154058326710732	1.0
0.0ms	-0.9523442130261925	-0.016269956155210565

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005154058326710732	1.0
0.0ms	-0.9523442130261925	-0.016269956155210565

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch12.0ms (0.1%)

Memory

-21.7MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.005154058326710732	1.0

Samples

5.0ms

112×

valid

Compiler

Compiled 286 to 250 computations (12.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (42.9% of total)

ival-mult: 1.0ms (42.9% of total)

ival-sqrt: 1.0ms (42.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify78.0ms (0.9%)

Memory

18.9MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	309
1	84	309
2	100	309
3	108	309
4	117	309
5	124	309
6	142	309
7	268	309
8	3908	309
9	6407	309

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #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)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.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 5764607523034235/576460752303423488 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #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)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.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 5764607523034235/576460752303423488 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #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)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.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 5764607523034235/576460752303423488 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #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)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.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 5764607523034235/576460752303423488 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

soundness397.0ms (4.7%)

Memory

7.4MiB live, 274.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	77	66
2	501	66
3	6984	66
0	8509	59
0	434	2199
1	1325	2092
2	4653	1998
0	8065	1854
0	564	2890
1	1701	2747
2	6090	2641
0	8093	2463

Stop Event

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

Compiler

Compiled 472 to 212 computations (55.1% saved)

preprocess71.0ms (0.8%)

Memory: -3.8MiB live, 112.1MiB allocated
Compiler: Compiled 784 to 240 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze491.0ms (5.8%)

sample2.4s (28.2%)

explain284.0ms (3.4%)

preprocess68.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize62.0ms (0.7%)

series19.0ms (0.2%)

simplify189.0ms (2.2%)

rewrite272.0ms (3.2%)

eval74.0ms (0.9%)

prune19.0ms (0.2%)

simplify37.0ms (0.4%)

localize157.0ms (1.9%)

series38.0ms (0.4%)

simplify186.0ms (2.2%)

rewrite162.0ms (1.9%)

eval135.0ms (1.6%)

prune20.0ms (0.2%)

simplify135.0ms (1.6%)

localize386.0ms (4.6%)

series166.0ms (2%)

simplify272.0ms (3.2%)

rewrite284.0ms (3.4%)

eval247.0ms (2.9%)

prune41.0ms (0.5%)

simplify183.0ms (2.2%)

localize675.0ms (8%)

series140.0ms (1.7%)

simplify246.0ms (2.9%)

rewrite225.0ms (2.7%)

eval165.0ms (2%)

prune30.0ms (0.4%)

regimes46.0ms (0.5%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

simplify78.0ms (0.9%)

soundness397.0ms (4.7%)

preprocess71.0ms (0.8%)

end0.0ms (0%)

Profiling