Metrics for Given's Rotation SVD example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze712.0ms (7.2%)

Memory

11.6MiB live, 964.3MiB allocated; 162ms collecting garbage

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)

sample2.7s (27.4%)

Memory

14.0MiB live, 3 293.7MiB allocated; 589ms collecting garbage

Samples

1.2s	6 209×	0	valid
439.0ms	1 017×	2	valid
258.0ms	458×	3	valid
223.0ms	572×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

const: 383.0ms (24.4% of total)

ival-mult: 332.0ms (21.1% of total)

ival-sqrt: 225.0ms (14.3% of total)

ival-add: 225.0ms (14.3% of total)

adjust: 129.0ms (8.2% of total)

ival-div: 117.0ms (7.5% of total)

ival-fabs: 95.0ms (6% of total)

ival-<: 40.0ms (2.5% of total)

ival-and: 11.0ms (0.7% of total)

exact: 10.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain236.0ms (2.4%)

Memory

11.9MiB live, 438.2MiB allocated; 76ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	0	-	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
39	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
26	1	(-8.575207595227016e-265 -3.598092001446119e+58)	-	`(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)))))))`
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	72	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	72
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	72
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	39	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	27	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	4
↳	`(.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	31
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	31
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	13
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	59

Confusion

	Predicted +	Predicted -
+	65	0
-	73	118

Precision

0.47101449275362317

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	73	0	118

Precision?

0.47101449275362317

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	372×	0	valid
32.0ms	68×	2	valid
28.0ms	26×	3	valid
9.0ms	46×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

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

adjust: 20.0ms (32.6% of total)

ival-mult: 16.0ms (26.1% of total)

ival-sqrt: 11.0ms (17.9% of total)

ival-add: 7.0ms (11.4% of total)

ival-div: 6.0ms (9.8% of total)

exact: 1.0ms (1.6% of total)

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

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

preprocess26.0ms (0.3%)

Memory

-3.0MiB live, 42.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	89
1	95	87
2	223	87
3	384	87
4	561	87
5	614	87
6	627	87
0	14	17
0	23	17
1	44	17
2	91	17
3	172	17
4	294	17
5	364	17
6	377	17
0	377	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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

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	44	94
2	91	94
3	172	94
4	294	94
5	364	94
6	377	94
0	377	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)

localize55.0ms (0.6%)

Memory

-7.6MiB live, 88.4MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
accuracy	5.887747170083449	(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	8.69577717471073	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	16.69547346513287	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

19.0ms	186×	0	valid
12.0ms	23×	1	valid
9.0ms	34×	2	valid
5.0ms	13×	3	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

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

ival-mult: 8.0ms (32.7% of total)

ival-sqrt: 5.0ms (20.5% of total)

ival-add: 5.0ms (20.5% of total)

adjust: 4.0ms (16.4% of total)

ival-div: 3.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-12.7MiB live, 34.0MiB allocated; 4ms collecting garbage

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	@	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))))
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	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))))

simplify164.0ms (1.7%)

Memory

11.5MiB live, 241.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2187
1	1515	2073
2	6574	2046
0	8853	1907

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))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 p x) (/.f64 p x)))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.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 (-.f64 (.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)))
(fma.f64 (.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.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)))) (* 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 (/.f64 (fma.f64 (.f64 p p) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.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 (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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.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 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.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))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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 (/.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 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 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))) #s(literal 1/4 binary64) (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 (.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 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 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 (+ (* 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 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 (*.f64 x x) 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 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)))) (.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) p) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (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 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (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) (+.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 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 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))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (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 (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) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 p x) (/.f64 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))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 p x) (/.f64 p x))) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal 1 binary64))))

rewrite177.0ms (1.8%)

Memory

-1.9MiB live, 238.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	79	66
2	516	66
3	5478	66
0	8290	59

Stop Event

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

Counts

5 → 260

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

eval58.0ms (0.6%)

Memory: 29.5MiB live, 128.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 452 to 2 071 computations (84.6% saved)

prune26.0ms (0.3%)

Memory

-16.4MiB live, 64.6MiB allocated; 11ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	319	20	339
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	20	340

Accuracy

99.7%

Counts

340 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	77.0%	(sqrt.f64 (fma.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)))
	77.0%	(sqrt.f64 (/.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)) (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))))
	54.7%	(sqrt.f64 (/.f64 (.f64 (-.f64 (.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 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64))))
	54.7%	(sqrt.f64 (-.f64 (/.f64 #s(literal 1/4 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 (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (-.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))))))
	54.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.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))) #s(literal -1 binary64)) (+.f64 (fma.f64 x (/.f64 x (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))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (.f64 x (/.f64 x (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)))))))))
	54.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
	72.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
	5.8%	(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))))))
	51.3%	(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))))
	11.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.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 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 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))) #s(literal 1/4 binary64) (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 (.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))))
	15.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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))))
	12.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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 (.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))))
	23.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 p x) (/.f64 p x)))))
▶	21.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
	33.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	20.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
	17.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 (*.f64 x x) p))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
	28.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))

Compiler

Compiled 1 614 to 940 computations (41.8% saved)

simplify163.0ms (1.7%)

Memory

18.6MiB live, 251.8MiB allocated; 60ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.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 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
cost-diff	5	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
cost-diff	0	(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (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 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	#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 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
cost-diff	0	(fma.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))
cost-diff	0	(sqrt.f64 (fma.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	419
0	77	409
1	146	409
2	339	406
3	1440	397
4	6662	397
0	8162	394

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (2.1%)

Memory

-22.5MiB live, 321.4MiB allocated; 88ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9446624135849518	(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
accuracy	0.9658330333888184	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
accuracy	19.495833338443187	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	45.52983774668674	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
accuracy	0.34765625	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	5.8977192777973695	(sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64)))
accuracy	8.69577717471073	(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	0.0	(/.f64 p x)
accuracy	0.2265625	(*.f64 (/.f64 p x) (/.f64 p x))
accuracy	5.887747170083449	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
accuracy	44.88399107106665	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x)))
accuracy	5.887747170083449	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	29.127786816231186	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
accuracy	5.887747170083449	(sqrt.f64 (fma.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)))
accuracy	8.694225078183116	(fma.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))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))

Samples

60.0ms	186×	0	valid
28.0ms	33×	2	valid
15.0ms	23×	1	valid
15.0ms	14×	3	valid

Compiler

Compiled 386 to 46 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 29.0ms (33.3% of total)

ival-sqrt: 19.0ms (21.8% of total)

ival-div: 14.0ms (16.1% of total)

adjust: 11.0ms (12.6% of total)

ival-add: 10.0ms (11.5% of total)

ival-pow: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series38.0ms (0.4%)

Memory

27.4MiB live, 74.9MiB allocated; 9ms collecting garbage

Counts

17 → 149

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	p	@	0	((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (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)))))) (* (/ p x) (/ p x)) (/ p x) (* (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)))
7.0ms	p	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (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)))))) (* (/ p x) (/ p x)) (/ p x) (* (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)))
5.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (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)))))) (* (/ p x) (/ p x)) (/ p x) (* (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)))
5.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (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)))))) (* (/ p x) (/ p x)) (/ p x) (* (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)))
5.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (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)))))) (* (/ p x) (/ p x)) (/ p x) (* (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (sqrt 1/2)) (sqrt (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1)) (+ (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)))

simplify177.0ms (1.8%)

Memory

-20.7MiB live, 250.0MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	738	4326
1	2592	4143
0	8624	3898

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 148

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 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
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))))))))
(/ (pow p 2) (pow x 2))
(/ p x)
(sqrt 2)
(+ (sqrt 2) (* -1 (/ (pow p 2) (* (pow x 2) (sqrt 2)))))
(+ (sqrt 2) (* (pow p 2) (- (* 1/2 (/ (* (pow p 2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))) (/ 1 (* (pow x 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (/ (* (pow p 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 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (sqrt 2))))) (/ 1 (* (pow x 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))))))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(/ 1/4 (* p (pow x 2)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* 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))))))
(+ 1 (* 1/4 (/ x p)))
(+ 1 (+ (* -1/32 (/ (pow x 2) (pow p 2))) (* 1/4 (/ x p))))
(+ 1 (+ (* -1/32 (/ (pow x 2) (pow p 2))) (+ (* 1/4 (/ x p)) (* 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)))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 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)))
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(* -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)))
(+ 1 (* -1/4 (/ x p)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (pow x 2) p)) (* 1/4 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3))) p)) (* -1/32 (pow x 2))) p)) (* 1/4 x)) 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)))
(* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))
(+ (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)))))
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(+ (* 1/4 (/ (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 (+ (* -1/32 (/ x (pow p 2))) (* 1/4 (/ 1 p)))))
(+ 1 (* x (+ (* x (- (* -3/128 (/ x (pow p 3))) (* 1/32 (/ 1 (pow p 2))))) (* 1/4 (/ 1 p)))))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))
(/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(+ 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 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* 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)))))
(+ (sqrt 2) (+ (* -1 (/ (pow p 2) (* (pow x 2) (sqrt 2)))) (* 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 2) (+ (* -1 (/ (pow p 2) (* (pow x 2) (sqrt 2)))) (+ (* 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 (/ (- (* -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)))))))
(+ 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))))))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) 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 (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
(* -1 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))
(* -1 (/ (* p (sqrt 2)) x))
(* -1 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (* p (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 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 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 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 (/ (- (* 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 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 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (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 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.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 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p 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))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 p x) (/.f64 p x)))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 p 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 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 6 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 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 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.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)))
(fma.f64 (.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.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)))) (* 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/ (pow p 2) (pow x 2))
(*.f64 (/.f64 p x) (/.f64 p x))
(/ p x)
(/.f64 p x)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -1 (/ (pow p 2) (* (pow x 2) (sqrt 2)))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 p (sqrt.f64 #s(literal 2 binary64))) (/.f64 p (.f64 x x))))
(+ (sqrt 2) (* (pow p 2) (- (* 1/2 (/ (* (pow p 2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))) (/ 1 (* (pow x 2) (sqrt 2))))))
(fma.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 p p) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (/ (* (pow p 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 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (sqrt 2))))) (/ 1 (* (pow x 2) (sqrt 2))))))
(fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 p p) (sqrt.f64 #s(literal 2 binary64)))
2
#s(literal 2 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 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 6 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 p p) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64))
(* p (* (sqrt 1/2) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64)))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) p)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) p)
(/ 1/4 (* p (pow x 2)))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 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)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(fma.f64 (.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 x (.f64 p p))) #s(literal -1/128 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))))
(+ (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)))))))
(-.f64 (fma.f64 (.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 x (.f64 p p))) #s(literal -1/128 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 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+ 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)))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 5 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(* 1/2 (/ x p))
(*.f64 (/.f64 x p) #s(literal 1/2 binary64))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (/.f64 #s(literal -1/16 binary64) p) (*.f64 #s(literal 1/2 binary64) x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
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(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x)) #s(literal 1 binary64)))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
(fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))))
(* -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) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 p x) (/.f64 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))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 p x) (/.f64 p x))) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal 1 binary64))))
(* -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 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) p) (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 (+ (* 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 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (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 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)))) (.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 x))
(* -1 (/ (* p (sqrt 2)) x))
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(* -1 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (* p (sqrt 2))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 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 2)))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) p) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 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 (/ (- (* 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 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) p) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) p) (pow.f64 x #s(literal 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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (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) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 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))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))

rewrite194.0ms (2%)

Memory

35.3MiB live, 261.5MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	298
0	77	280
1	266	250
2	1471	250
0	8112	250

Stop Event

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

Counts

17 → 593

Calls

Call 1

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

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

eval152.0ms (1.5%)

Memory: 2.9MiB live, 258.7MiB allocated; 49ms collecting garbage
Compiler: Compiled 38 144 to 3 541 computations (90.7% saved)

prune69.0ms (0.7%)

Memory

-19.3MiB live, 72.4MiB allocated; 12ms collecting garbage

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	802	16	818
Fresh	12	3	15
Picked	2	3	5
Done	0	0	0
Total	816	22	838

Accuracy

100.0%

Counts

838 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.7%	(.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))) (sqrt.f64 #s(literal 1/2 binary64)))
	55.0%	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) (.f64 (-.f64 (/.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 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	76.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
	51.3%	(.f64 #s(approx (sqrt (+ (/ x (sqrt (+ ( (* p 4) p) (* x x)))) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	77.0%	(sqrt.f64 (fma.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)))
	72.9%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	55.0%	(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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))))
▶	77.0%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
	54.7%	(sqrt.f64 (-.f64 (/.f64 #s(literal 1/4 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 (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (-.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))))))
	54.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.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))) #s(literal -1 binary64)) (+.f64 (fma.f64 x (/.f64 x (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))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (.f64 x (/.f64 x (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)))))))))
▶	54.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
	51.3%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	12.8%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
	11.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 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))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	24.2%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
	11.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p))))) p) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 x)))
	29.0%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
▶	33.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
▶	21.1%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
	28.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (fma.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 x)))
	28.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) p)) (neg.f64 x)))

Compiler

Compiled 2 063 to 1 043 computations (49.4% saved)

simplify185.0ms (1.9%)

Memory

26.3MiB live, 165.4MiB allocated; 35ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
cost-diff	2	(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
cost-diff	12	(-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
cost-diff	16	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
cost-diff	2	(*.f64 #s(literal 1 binary64) p)
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p))
cost-diff	0	(/.f64 (*.f64 p p) x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
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	1	(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	755
0	110	736
1	225	685
2	584	637
3	2561	635
4	6269	635
0	8374	624

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (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)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (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)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
#s(literal 1 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
#s(literal 1/4 binary64)
(.f64 (.f64 x x) p)
(*.f64 x x)
x
p
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
(*.f64 #s(literal 1 binary64) p)
#s(literal 1 binary64)
(neg.f64 x)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (-.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 #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))))
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))
p
#s(literal 4 binary64)
(*.f64 x x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(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 2 binary64))
#s(literal 2 binary64)

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

localize417.0ms (4.2%)

Memory

10.7MiB live, 488.1MiB allocated; 68ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.179226808279236	(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
accuracy	10.429569147039086	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))
accuracy	11.85020196620369	(-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	0.9446624135849518	(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
accuracy	0.9658330333888184	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x))
accuracy	19.495833338443187	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p))
accuracy	45.52983774668674	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
accuracy	0.0	(*.f64 p p)
accuracy	1.916301950194491	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
accuracy	3.0410096016002917	(/.f64 (*.f64 p p) x)
accuracy	48.523843217728405	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
accuracy	42.44603663852789	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
accuracy	3.1065067818761425	(/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
accuracy	5.887747170083449	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
accuracy	8.667893935298912	(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))

Samples

104.0ms	38×	3	valid
92.0ms	49×	2	valid
88.0ms	129×	0	valid
64.0ms	39×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 770 to 65 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-sqrt: 83.0ms (27.8% of total)

ival-mult: 73.0ms (24.5% of total)

adjust: 63.0ms (21.1% of total)

ival-div: 37.0ms (12.4% of total)

ival-add: 18.0ms (6% of total)

ival-pow: 11.0ms (3.7% of total)

ival-sub: 6.0ms (2% of total)

ival-pow2: 5.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series188.0ms (1.9%)

Memory

-41.9MiB live, 196.8MiB allocated; 49ms collecting garbage

Counts

24 → 246

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (*.f64 p p) x)
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p))
(*.f64 #s(literal 1 binary64) p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
(.f64 #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 p p)
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
(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
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (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))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
2
(+ 2 (* -4 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 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) (- (* -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 (/ (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)))))
(+ 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))))))
(/ (pow p 2) x)
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (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) (- (* 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 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(+ 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) (+ (* 6 (/ 1 (pow x 4))) (* (pow p 2) (- (* 94 (/ 1 (pow x 6))) (* 114 (/ 1 (pow x 6))))))) (* 2 (/ 1 (pow x 2))))))
(* 8 (/ (pow p 4) (pow x 4)))
(* (pow p 4) (+ (* -56 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4)))))
(* (pow p 4) (+ (* (pow p 2) (- (* 304 (/ (pow p 2) (pow x 8))) (* 56 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4)))))
(* (pow p 4) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1496 (/ (pow p 2) (pow x 10))) (* 304 (/ 1 (pow x 8))))) (* 56 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4)))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (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)))))
(* 1/2 (* (sqrt 1/2) (sqrt 8)))
(+ (* 1/2 (* (sqrt 1/2) (sqrt 8))) (* (pow p 2) (+ (* -14 (/ (sqrt 1/2) (* (pow x 2) (sqrt 8)))) (* 3/2 (/ (* (sqrt 1/2) (sqrt 8)) (pow x 2))))))
(+ (* 1/2 (* (sqrt 1/2) (sqrt 8))) (* (pow p 2) (+ (* -14 (/ (sqrt 1/2) (* (pow x 2) (sqrt 8)))) (+ (* 3/2 (/ (* (sqrt 1/2) (sqrt 8)) (pow x 2))) (* (pow p 2) (+ (* -42 (/ (sqrt 1/2) (* (pow x 4) (sqrt 8)))) (+ (* -1 (/ (* (sqrt 8) (+ (* -9/2 (/ (sqrt 1/2) (pow x 2))) (* 5 (/ (sqrt 1/2) (pow x 2))))) (pow x 2))) (* 1/4 (/ (* (pow x 4) (* (sqrt 1/2) (- (* 304 (/ 1 (pow x 8))) (* 784 (/ 1 (* (pow x 8) (pow (sqrt 8) 2))))))) (sqrt 8))))))))))
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x
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(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
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(pow p 2)
(/ 1/4 (* p (pow x 2)))
1/2
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(sqrt 1/2)
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(* -3/2 (/ (pow p 3) (pow x 2)))
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(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
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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 (* 1/8 (/ (pow x 3) (pow p 3))))
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(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
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(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
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(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
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(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
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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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(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ -1/2 x)
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
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(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
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(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))
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(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)))))) (* 64 (pow p 6))) (+ (* 1/4 (/ (pow (- (+ (* -16 (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))))))) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) 2) (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))) (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2)))))))) (pow x 6)) (sqrt (/ 1 (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))) (+ (* 1/4 (* (/ (* (sqrt 1/2) (- (+ (* -16 (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))))))) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 2)) (sqrt (/ 1 (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))) (+ (* 1/4 (* (/ (* (sqrt 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)))))) (* 64 (pow p 6))) (+ (* 1/4 (/ (pow (- (+ (* -16 (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))))))) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) 2) (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))) (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 4)) (sqrt (/ 1 (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))) (+ (* 1/4 (* (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -16 (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))))))) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4)) (sqrt (/ 1 (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))) (+ (* 1/4 (* (/ (* (pow p 2) (* (sqrt 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)))))) (* 64 (pow p 6))) (+ (* 1/4 (/ (pow (- (+ (* -16 (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))))))) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) 2) (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))) (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (pow x 6)) (sqrt (/ 1 (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))) (+ (* 1/2 (* (sqrt 1/2) (sqrt (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2)))))) (* 1/2 (* (/ (* (pow p 2) (sqrt 1/2)) (pow x 2)) (sqrt (- (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 4 (pow p 2))) (* 2 (pow p 2))))))))))))))) 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))))))))
(* 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))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	((* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (* 1 p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (neg x)) (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)) (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) (/ (* x x) (+ (* (* p p) 4) (* x x))) (* p p) (/ 1/4 (* (* x x) p)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
46.0ms	x	@	inf	((* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (* 1 p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (neg x)) (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)) (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) (/ (* x x) (+ (* (* p p) 4) (* x x))) (* p p) (/ 1/4 (* (* x x) p)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
20.0ms	p	@	0	((* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (* 1 p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (neg x)) (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)) (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) (/ (* x x) (+ (* (* p p) 4) (* x x))) (* p p) (/ 1/4 (* (* x x) p)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
13.0ms	p	@	-inf	((* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (* 1 p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (neg x)) (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)) (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) (/ (* x x) (+ (* (* p p) 4) (* x x))) (* p p) (/ 1/4 (* (* x x) p)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))
9.0ms	p	@	inf	((* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (* 1 p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (neg x)) (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)) (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (/ (- (* 1 (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (* x (/ x (+ (* (* p 4) p) (* x x)))))) (pow (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) 2)))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) (/ (* x x) (+ (* (* p p) 4) (* x x))) (* p p) (/ 1/4 (* (* x x) p)) (sqrt (+ (* (* p 4) p) (* x x))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))))

simplify391.0ms (4%)

Memory

37.8MiB live, 270.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1890	19851
1	6918	19698
0	8757	18635

Stop Event

1×	iter limit
1×	node limit

Counts

246 → 244

Calls

Call 1

Inputs
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (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))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
2
(+ 2 (* -4 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 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)))
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(/ (pow p 2) x)
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
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(* 8 (/ (pow p 4) (pow x 4)))
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(* 2 (/ (pow p 2) (pow x 2)))
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(* 1/2 (* (sqrt 1/2) (sqrt 8)))
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x
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(pow p 2)
(/ 1/4 (* p (pow x 2)))
1/2
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(sqrt 1/2)
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(* -3/2 (/ (pow p 3) (pow x 2)))
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(* 3/2 (/ (pow p 3) (pow x 3)))
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(- (+ 1 (* -1/2 (/ x p))) (* -1 (/ x 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 (* 1/8 (/ (pow x 3) (pow p 3))))
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(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
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(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
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(+ 1/2 (* -1/4 (/ x p)))
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(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
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(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
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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 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
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(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
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(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 p p)) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
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2
#s(literal 2 binary64)
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(/ (+ (* 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))
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(/ (+ (* 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 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (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 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (neg.f64 (.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 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (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 (.f64 #s(literal -1 binary64) (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 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) #s(literal 1/2 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 -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (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 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) #s(literal 1/2 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 -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 x x)))))) (.f64 x x))

rewrite235.0ms (2.4%)

Memory

-31.9MiB live, 167.0MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	502
0	110	485
1	449	446
2	2694	386
0	8325	379

Stop Event

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

Counts

24 → 655

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (*.f64 p p) x)
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p))
(*.f64 #s(literal 1 binary64) p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) p)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
(.f64 #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.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 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) (.f64 x (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))) (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 2 binary64)))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 p p)
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
(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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (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))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.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 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.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 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.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 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 9 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.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 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 6 binary64))))
(fma.f64 #s(literal 1/2 binary64) (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))
(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))
(+.f64 (.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))
(+.f64 (.f64 #s(literal 1/2 binary64) (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))
(+.f64 #s(literal 1/2 binary64) (.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)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)))
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(/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) #s(literal 2 binary64))) (sqrt.f64 (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 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)))) (sqrt.f64 (.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)))) (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))))) (exp.f64 (log1p.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (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 binary64)) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sin.f64 (acos.f64 (/.f64 x (sqrt.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64)))
(sqrt.f64 (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 2 binary64)))
(-.f64 (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 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(-.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
(fabs.f64 (-.f64 (/.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (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))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
(exp.f64 (/.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))))
(+.f64 (cosh.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))) (sinh.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))))

eval199.0ms (2%)

Memory: 10.9MiB live, 200.5MiB allocated; 29ms collecting garbage
Compiler: Compiled 68 848 to 5 438 computations (92.1% saved)

prune46.0ms (0.5%)

Memory

31.5MiB live, 77.5MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	908	7	915
Fresh	5	9	14
Picked	4	1	5
Done	0	3	3
Total	917	20	937

Accuracy

100.0%

Counts

937 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) (.f64 (-.f64 (/.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 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	76.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
	51.3%	(.f64 #s(approx (sqrt (+ (/ x (sqrt (+ ( (* p 4) p) (* x x)))) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	77.0%	(sqrt.f64 (fma.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)))
	72.9%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	55.0%	(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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))))
▶	76.7%	(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
	54.7%	(sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) #s(literal 1/4 binary64)) (-.f64 (.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 #s(literal 1/4 binary64) (-.f64 (.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)))))
	54.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (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 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 2 binary64)))))
	51.3%	(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	12.8%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
	11.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 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))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	24.2%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
	11.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p))))) p) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 x)))
▶	29.0%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
▶	12.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
✓	33.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
	28.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) p)) (neg.f64 x)))
	28.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))

Compiler

Compiled 1 704 to 948 computations (44.4% saved)

simplify185.0ms (1.9%)

Memory

-17.1MiB live, 165.3MiB allocated; 32ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)
cost-diff	2	(.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)
cost-diff	2	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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)))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
cost-diff	0	#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p)))
cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
cost-diff	0	(neg.f64 p)
cost-diff	0	(/.f64 (neg.f64 p) x)
cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
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	1	(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
cost-diff	1	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #s(literal 1/2 binary64))
cost-diff	2	(.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	952
0	124	944
1	237	944
2	572	905
3	2056	889
4	7764	889
0	8481	865

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
#s(literal 1 binary64)
(.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
(neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)
(/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
x
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (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 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 p p))
#s(literal 1 binary64)
(*.f64 p p)
p
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.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)))
(*.f64 x x)
x
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
#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 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x)
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal -12 binary64)
(fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
#s(literal 1/2 binary64)
(.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)
(*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))
#s(literal 16 binary64)
(pow.f64 p #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)

Outputs
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #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 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.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))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.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)))))
(neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))
(.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)
(.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)
(/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
x
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
p
(*.f64 x x)
(/.f64 x (sqrt.f64 (fma.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))))
(sqrt.f64 (fma.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)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) 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))
(*.f64 p p)
(/.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))))
(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)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 p p))
#s(literal 1 binary64)
(*.f64 p p)
p
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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))))
(sqrt.f64 (/.f64 (.f64 (-.f64 (.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)) (-.f64 (/.f64 x (sqrt.f64 (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)) #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 (-.f64 (.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)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (-.f64 (.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))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) 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 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)
(*.f64 x x)
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))
(*.f64 p p)
p
#s(literal 4 binary64)
#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 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #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))))
(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 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x)
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x)
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(pow.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal -12 binary64)
(fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 p p (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
(fma.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)
(*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64))
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)
(*.f64 (pow.f64 p #s(literal 5 binary64)) #s(literal -12 binary64))
(*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))
(*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))
#s(literal 16 binary64)
(pow.f64 p #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)

localize509.0ms (5.2%)

Memory

-15.9MiB live, 541.7MiB allocated; 113ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	16.14143731295736	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
accuracy	20.0428711305256	(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
accuracy	21.007812500000004	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
accuracy	44.76207722590462	#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
accuracy	6.062568776270632	(/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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)))
accuracy	7.179226808279236	(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
accuracy	15.862356646810339	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	0.265625	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	0.563766877485283	(/.f64 #s(literal 1 binary64) (*.f64 p p))
accuracy	18.142283546895047	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
accuracy	48.523843217728405	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
accuracy	0.0	(/.f64 (neg.f64 p) x)
accuracy	0.0	(neg.f64 p)
accuracy	45.438933070634924	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
accuracy	5.887747170083449	(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
accuracy	8.667893935298912	(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	16.69547346513287	(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))

Samples

152.0ms	61×	2	valid
132.0ms	41×	1	valid
75.0ms	25×	3	valid
63.0ms	129×	0	valid

Compiler

Compiled 875 to 73 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

adjust: 110.0ms (30.3% of total)

ival-add: 80.0ms (22.1% of total)

ival-mult: 62.0ms (17.1% of total)

ival-sqrt: 43.0ms (11.9% of total)

ival-div: 38.0ms (10.5% of total)

ival-pow: 16.0ms (4.4% of total)

ival-sub: 10.0ms (2.8% of total)

ival-neg: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series109.0ms (1.1%)

Memory

-7.0MiB live, 136.2MiB allocated; 21ms collecting garbage

Counts

27 → 232

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) 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))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (*.f64 p p))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))

Outputs
-1
(- (* 6 (/ (pow p 2) (pow x 2))) 1)
(- (* (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))))) 1)
(- (* (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)
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (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))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 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))))))
(+ 2 (* -4 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 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 (pow p 2))
(/ (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) (pow p 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 (/ (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)))))
(* -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)))))
(* -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)))))
(pow p 2)
(* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2)))))
(* (pow p 2) (+ 1 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 3 (/ 1 (pow x 2)))))))
(* 10 (pow p 6))
(* -12 (pow p 6))
(* -12 (pow p 5))
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)) (* (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))))))))
(* (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)))))
(* 10 (/ (pow p 6) (pow x 4)))
(* -1/8 (/ (pow x 3) (pow p 3)))
(/ (+ (* -1/8 (pow x 3)) (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2)))) (pow p 3))
(/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 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))))) (pow p 3))
(/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (+ (* 4 (/ (* (pow x 3) (+ (* -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 (/ (* (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)))))) (pow p 3))
1/2
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (+ (* -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 (+ (* -2 (/ (* (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))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(+ 1 (* 1/8 (/ (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)))) (+ (* -1/8 (/ (pow x 3) (pow p 3))) (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5)))))
(+ 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))))) (* 1/16 (/ (pow x 4) (pow p 4))))
(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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 (pow x 2))
(- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 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)))))
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
(- (* 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)))))
(* (pow p 6) (- (* 10 (/ 1 (pow x 4))) (* 3 (/ 1 (* (pow p 2) (pow x 2))))))
(* (pow p 6) (- (+ (/ 1 (pow p 4)) (* 10 (/ 1 (pow x 4)))) (/ 3 (* (pow p 2) (pow x 2)))))
(* 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) (+ (* -1/2 (/ (* (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 (/ x p)) 1)
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
(* 1/8 (/ (pow x 3) (pow p 3)))
(* -1 (/ (+ (* -1/8 (pow x 3)) (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2)))) (pow p 3)))
(* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 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))))) (pow p 3)))
(* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (+ (* 4 (/ (* (pow x 3) (+ (* -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 (/ (* (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)))))) (pow p 3)))
(+ 1/2 (* -1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3))) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -2 (/ (* (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))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3)))) (pow p 3))))
(+ 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))) (+ (* -1/8 (pow x 3)) (* 1/1024 (/ (* (pow x 3) (+ (* 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 (/ (+ (* 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)))
(+ (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 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* 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)))
(* -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 (/ (+ (* 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 (/ 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)) 1)
(* (pow x 3) (- (* 1/1024 (/ (* (pow x 2) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 9))) (* 1/8 (/ 1 (pow p 3)))))
(* (pow x 3) (- (* (pow x 2) (+ (* 1/1024 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))) (* 4 (* (pow p 3) (* (pow x 2) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))))))))) (* 1/8 (/ 1 (pow p 3)))))
(* (pow x 3) (- (* (pow x 2) (+ (* 1/1024 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))) (* (pow x 2) (+ (* 4 (* (pow p 3) (* (pow x 2) (+ (* -1/64 (/ (* (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 6))) (+ (* -1/262144 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 18))) (+ (* 1/4096 (/ 1 (pow p 12))) (* 1/128 (/ (* (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12))))) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 6))))))))) (* 4 (* (pow p 3) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12))))))))))) (* 1/8 (/ 1 (pow p 3)))))
(+ 1/2 (* (pow x 3) (+ (* -1/2048 (/ (* (pow x 2) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 9))) (* 1/16 (/ 1 (pow p 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 2) (+ (* -2 (* (pow p 3) (* (pow x 2) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))))))) (* -1/2048 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))))) (* 1/16 (/ 1 (pow p 3))))))
(+ 1 (* (pow x 3) (+ (* -1/1024 (/ (* (pow x 2) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 9))) (* 1/8 (/ 1 (pow p 3))))))
(+ 1 (* (pow x 3) (+ (* (pow x 2) (- (* -4 (* (pow p 3) (* (pow x 2) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))))))) (* 1/1024 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))))) (* 1/8 (/ 1 (pow p 3))))))
(+ 1 (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))
(+ (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 (pow p 2)) (pow x 2)) (pow x 2))
(/ (- (/ (pow x 2) (pow p 2)) 1/2) (pow x 2))
(+ (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))))))))
(+ 1/2 (* 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)))))
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/128 (/ (pow x 2) (pow p 6))) (* 1/32 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
(/ (+ (* -6 (pow p 6)) (* 16 (pow p 6))) (pow x 4))
(/ (+ (* -6 (pow p 6)) (+ (* -3 (* (pow p 4) (pow x 2))) (* 16 (pow p 6)))) (pow x 4))
(/ (+ (* -6 (pow p 6)) (+ (* 16 (pow p 6)) (* (pow x 2) (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2)))))) (pow x 4))
(+ (* 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)))))
(/ 1/2 (pow x 2))
(- (* 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)
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(/ (- (* 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 (+ (* 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 (/ (+ 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 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (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 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (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))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (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) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(/ (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))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (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))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (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))))))))
(* -1 (* (/ (* (sqrt 1/6) (sqrt 1/2)) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 4) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))))))) (+ (* -1/3 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (+ (* -1/18 (* (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 64 (pow p 6))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/2 (/ (* (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))))) (* (pow x 6) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 4) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
-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 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(/ (+ (* 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))

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	p	@	0	((* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (* (- (/ 1 (* p p)) (/ 1/2 (* x x))) (* p p)) (- (/ 1 (* p p)) (/ 1/2 (* x x))) (sqrt (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1))) (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (* (* (* (pow p 4) -12) p) p) (* (* (pow p 4) -12) p) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (/ (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ 1 (* p p)) (/ 1/2 (* x x)) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))
14.0ms	x	@	-inf	((* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (* (- (/ 1 (* p p)) (/ 1/2 (* x x))) (* p p)) (- (/ 1 (* p p)) (/ 1/2 (* x x))) (sqrt (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1))) (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (* (* (* (pow p 4) -12) p) p) (* (* (pow p 4) -12) p) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (/ (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ 1 (* p p)) (/ 1/2 (* x x)) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))
11.0ms	x	@	inf	((* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (* (- (/ 1 (* p p)) (/ 1/2 (* x x))) (* p p)) (- (/ 1 (* p p)) (/ 1/2 (* x x))) (sqrt (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1))) (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (* (* (* (pow p 4) -12) p) p) (* (* (pow p 4) -12) p) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (/ (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ 1 (* p p)) (/ 1/2 (* x x)) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))
9.0ms	p	@	-inf	((* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (* (- (/ 1 (* p p)) (/ 1/2 (* x x))) (* p p)) (- (/ 1 (* p p)) (/ 1/2 (* x x))) (sqrt (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1))) (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (* (* (* (pow p 4) -12) p) p) (* (* (pow p 4) -12) p) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (/ (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ 1 (* p p)) (/ 1/2 (* x x)) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))
8.0ms	p	@	inf	((* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (* (- (/ 1 (* p p)) (/ 1/2 (* x x))) (* p p)) (- (/ 1 (* p p)) (/ 1/2 (* x x))) (sqrt (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1))) (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (* (* (* (pow p 4) -12) p) p) (* (* (pow p 4) -12) p) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (/ (* (- 1 (* (neg (* (/ x (+ (* (* 4 p) p) (* x x))) x)) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (/ 1 (* p p)) (/ 1/2 (* x x)) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))

simplify290.0ms (2.9%)

Memory

3.1MiB live, 389.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1368	11226
1	4841	10266
0	8422	9678

Stop Event

1×	iter limit
1×	node limit

Counts

232 → 231

Calls

Call 1

Inputs
-1
(- (* 6 (/ (pow p 2) (pow x 2))) 1)
(- (* (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))))) 1)
(- (* (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)
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (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))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 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))))))
(+ 2 (* -4 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 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 (pow p 2))
(/ (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) (pow p 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 (/ (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)))))
(* -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)))))
(* -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)))))
(pow p 2)
(* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2)))))
(* (pow p 2) (+ 1 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 3 (/ 1 (pow x 2)))))))
(* 10 (pow p 6))
(* -12 (pow p 6))
(* -12 (pow p 5))
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)) (* (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))))))))
(* (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)))))
(* 10 (/ (pow p 6) (pow x 4)))
(* -1/8 (/ (pow x 3) (pow p 3)))
(/ (+ (* -1/8 (pow x 3)) (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2)))) (pow p 3))
(/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 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))))) (pow p 3))
(/ (+ (* -1/8 (pow x 3)) (+ (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (+ (* 4 (/ (* (pow x 3) (+ (* -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 (/ (* (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)))))) (pow p 3))
1/2
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (+ (* -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 (+ (* -2 (/ (* (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))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(+ 1 (* 1/8 (/ (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)))) (+ (* -1/8 (/ (pow x 3) (pow p 3))) (* 1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5)))))
(+ 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))))) (* 1/16 (/ (pow x 4) (pow p 4))))
(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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 (pow x 2))
(- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2))))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
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(/ (pow p 2) (pow x 2))
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(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
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(* -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 (* (/ (* (sqrt 1/6) (sqrt 1/2)) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 4) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))))))) (+ (* -1/3 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (+ (* -1/18 (* (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 64 (pow p 6))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/2 (/ (* (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))))) (* (pow x 6) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/18 (* (+ (* -16 (pow p 4)) (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/6) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 4) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (* (sqrt 1/2) (- (* 1/6 (+ (* -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)))))) (* -1/18 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow x 2) (sqrt 1/6))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (* (sqrt 1/6) (sqrt 1/2)) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
-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 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(/ (+ (* 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))

Outputs
-1
#s(literal -1 binary64)
(- (* 6 (/ (pow p 2) (pow x 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(- (* (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))))) 1)
(-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 p p)) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (.f64 x x))) (*.f64 p p)) #s(literal 1 binary64))
(- (* (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)
(-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 48 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 10 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (.f64 x x)) #s(literal 6 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))))))))) (.f64 p p) (/.f64 #s(literal 6 binary64) (.f64 x x))) (*.f64 p p)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 p p)) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (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))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 48 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 10 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (.f64 x x)) #s(literal 6 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))))))))) (.f64 p p)) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 2 binary64))
(+ 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))))))
(fma.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64))
(+ 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))))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 48 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 10 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (.f64 x x)) #s(literal 6 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)))))) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (.f64 p p)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64))
(+ 2 (* -4 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 p p) #s(literal 2 binary64))
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(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 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 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal -69/16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 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 (/ p x))
(/.f64 (neg.f64 p) x)
(* -1 p)
(neg.f64 p)
(/ 1 (pow p 2))
(/.f64 #s(literal 1 binary64) (*.f64 p p))
(/ (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) (pow p 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) (.f64 p p))
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-2
#s(literal -2 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 2 binary64))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
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rewrite210.0ms (2.1%)

Memory

-19.6MiB live, 215.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	551
0	122	545
1	476	513
2	3380	503
0	8243	496

Stop Event

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

Counts

27 → 376

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
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(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(/.f64 (neg.f64 p) x)
(neg.f64 p)
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#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (*.f64 p p))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))

Outputs
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (neg.f64 x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) x)
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (.f64 (neg.f64 x) (/.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))) (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (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))) (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 x (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(-.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal 1 binary64))))
(.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 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
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(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 x x)) (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))

eval110.0ms (1.1%)

Memory: 12.6MiB live, 196.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 42 192 to 3 960 computations (90.6% saved)

prune63.0ms (0.6%)

Memory

4.3MiB live, 97.7MiB allocated; 5ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	585	5	590
Fresh	6	5	11
Picked	2	3	5
Done	0	4	4
Total	593	17	610

Accuracy

100.0%

Counts

610 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
	51.3%	(.f64 #s(approx (sqrt (+ (/ x (sqrt (+ ( (* p 4) p) (* x x)))) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	77.0%	(sqrt.f64 (fma.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)))
	72.9%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	74.3%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
✓	55.0%	(sqrt.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 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))))
	12.7%	(sqrt.f64 (/.f64 #s(approx (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 128 binary64) (.f64 p p)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 p p) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 p p))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))))
	54.7%	(sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) #s(literal 1/4 binary64)) (-.f64 (.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 #s(literal 1/4 binary64) (-.f64 (.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)))))
	51.3%	(sqrt.f64 #s(approx (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	16.2%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 #s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) (.f64 p p))) (.f64 x x))))
	16.4%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/.f64 #s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (+ (* p p) (/ (+ (* 1/2 (* (* (* (pow p 4) -12) p) p)) (* 16 (pow p 6))) (pow x 4)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 10 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)) (.f64 p p))) (*.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	24.2%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
✓	29.0%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
✓	12.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
✓	33.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
	28.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))

Compiler

Compiled 2 985 to 851 computations (71.5% saved)

regimes89.0ms (0.9%)

Memory

15.3MiB live, 203.2MiB allocated; 19ms collecting garbage

Counts

49 → 2

Calls

Call 1

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

Outputs

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

(sqrt.f64 (fma.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)))

Calls

7 calls:

17.0ms	p
13.0ms	(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)))))))
13.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
12.0ms	x
11.0ms	(+.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
77.0%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
99.9%	2	`(/.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 #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	`(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)))))))`
80.7%	3	`p`
83.2%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes41.0ms (0.4%)

Memory

-5.2MiB live, 53.7MiB allocated; 12ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1) 1/2) (- (+ (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (- (/ (* x x) (+ (* (* p p) 4) (* x x))) 1) 1/2) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (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))))))
(.f64 #s(approx (sqrt (+ (/ x (sqrt (+ ( (* p 4) p) (* x x)))) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 p x) (/.f64 p x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))))
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))

Outputs

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

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

Calls

4 calls:

27.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(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)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.6%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.6%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes22.0ms (0.2%)

Memory

-6.0MiB live, 40.5MiB allocated; 3ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(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)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

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

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes17.0ms (0.2%)

Memory

1.9MiB live, 48.6MiB allocated; 3ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(.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))))))
4.0ms	(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
98.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.8%	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))))))`
98.8%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	(.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
98.1%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.1%	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))))))`
98.1%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes75.0ms (0.8%)

Memory

-31.0MiB live, 15.6MiB allocated; 4ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

70.0ms	(+.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))))
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
98.0%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.0%	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))))))`
98.0%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes10.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
65.7%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
65.7%	2	`p`
60.5%	2	`x`
72.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
72.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
72.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
72.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes21.0ms (0.2%)

Memory

-29.7MiB live, 19.5MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	x
1.0ms	p
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 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
33.7%	1	`x`
33.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
33.7%	1	`p`
33.7%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
33.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
33.7%	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))))))`
33.7%	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 66 to 56 computations (15.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3683113033516725e-5	0.002083087731922561

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002083087731922561	0.7071067811863676

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002083087731922561	0.7071067811863676

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7318409251406496	0.9999999370416008
0.0ms	0.002083087731922561	0.7071067811863676

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7318409251406496	0.9999999370416008
0.0ms	0.002083087731922561	0.7071067811863676

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7318409251406496	0.9999999370416008
0.0ms	0.002083087731922561	0.7071067811863676

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7318409251406496	0.9999999370416008

Samples

1.0ms

64×

valid

Compiler

Compiled 172 to 151 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

simplify142.0ms (1.4%)

Memory

-0.3MiB live, 46.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	645
1	153	645
2	314	645
3	1054	645
4	3404	645
5	5956	645
6	6751	645
7	6861	645
8	6973	645
9	7085	645
10	7355	645
11	7442	645
12	7445	645
13	7445	645
14	7972	645

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.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))))))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.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))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.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))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Outputs
(if (<=.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))))))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.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))))
(if (<=.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))))))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.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))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 #s(approx (+ (* (/ 1/4 (* (* x x) p)) (* (pow p 4) -6)) (* 1 p)) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.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))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

derivations1.0s (10.3%)

Memory

27.6MiB live, 835.9MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	502
0	110	485
1	449	446
2	2694	386
0	8325	379
0	1890	19851
1	6918	19698
0	8757	18635
0	47	298
0	77	280
1	266	250
2	1471	250
0	8112	250
0	434	2187
1	1515	2073
2	6574	2046
0	8853	1907
0	738	4326
1	2592	4143
0	8624	3898
0	14	66
0	23	66
1	79	66
2	516	66
3	5478	66
0	8290	59

Stop Event

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

Compiler

Compiled 649 to 97 computations (85.1% saved)

preprocess77.0ms (0.8%)

Memory: -16.9MiB live, 122.3MiB allocated; 33ms collecting garbage
Compiler: Compiled 1 532 to 354 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	36	89
1	95	87
2	223	87
3	384	87
4	561	87
5	614	87
6	627	87
0	14	17
0	23	17
1	44	17
2	91	17
3	172	17
4	294	17
5	364	17
6	377	17
0	377	15

Iter	Nodes	Cost
0	36	89
1	95	87
2	223	87
3	384	87
4	561	87
5	614	87
6	627	87
0	14	17
0	23	17
1	44	17
2	91	17
3	172	17
4	294	17
5	364	17
6	377	17
0	377	15

start0.0ms (0%)

analyze712.0ms (7.2%)

sample2.7s (27.4%)

explain236.0ms (2.4%)

preprocess26.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize55.0ms (0.6%)

series20.0ms (0.2%)

simplify164.0ms (1.7%)

rewrite177.0ms (1.8%)

eval58.0ms (0.6%)

prune26.0ms (0.3%)

simplify163.0ms (1.7%)

localize203.0ms (2.1%)

series38.0ms (0.4%)

simplify177.0ms (1.8%)

rewrite194.0ms (2%)

eval152.0ms (1.5%)

prune69.0ms (0.7%)

simplify185.0ms (1.9%)

localize417.0ms (4.2%)

series188.0ms (1.9%)

simplify391.0ms (4%)

rewrite235.0ms (2.4%)

eval199.0ms (2%)

prune46.0ms (0.5%)

simplify185.0ms (1.9%)

localize509.0ms (5.2%)

series109.0ms (1.1%)

simplify290.0ms (2.9%)

rewrite210.0ms (2.1%)

eval110.0ms (1.1%)

prune63.0ms (0.6%)

regimes89.0ms (0.9%)

regimes41.0ms (0.4%)

regimes22.0ms (0.2%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes75.0ms (0.8%)

regimes10.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

simplify142.0ms (1.4%)

derivations1.0s (10.3%)

preprocess77.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	89
1	95	87
2	223	87
3	384	87
4	561	87
5	614	87
6	627	87
0	14	17
0	23	17
1	44	17
2	91	17
3	172	17
4	294	17
5	364	17
6	377	17
0	377	15