Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze527.0ms (6.8%)

Memory

-29.1MiB live, 827.7MiB allocated; 212ms 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)

sample2.3s (30.1%)

Memory

27.7MiB live, 2 892.6MiB allocated; 657ms collecting garbage

Samples

967.0ms	6 219×	0	valid
444.0ms	994×	2	valid
213.0ms	440×	3	valid
180.0ms	603×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 417.0ms (28.4% of total)

const: 276.0ms (18.8% of total)

ival-sqrt: 177.0ms (12% of total)

ival-div: 176.0ms (12% of total)

adjust: 134.0ms (9.1% of total)

ival-add: 130.0ms (8.8% of total)

ival-fabs: 81.0ms (5.5% of total)

ival-<: 53.0ms (3.6% of total)

ival-and: 12.0ms (0.8% of total)

exact: 11.0ms (0.7% of total)

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

Bogosity

explain214.0ms (2.8%)

Memory

28.0MiB live, 313.3MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
62	-	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
29	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
18	-	-	`(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	-	-	`(.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	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`p`
0	-	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 4 binary64) p)`
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	62	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	62
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	62
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	29	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	18	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	22
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	22
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	7
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	57

Confusion

	Predicted +	Predicted -
+	47	0
-	62	147

Precision

0.43119266055045874

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	62	0	147

Precision?

0.43119266055045874

Recall?

1.0

Freqs

test

number	freq
0	147
1	109

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	412×	0	valid
13.0ms	38×	2	valid
8.0ms	20×	3	valid
8.0ms	42×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 17.0ms (31.4% of total)

ival-add: 15.0ms (27.7% of total)

ival-sqrt: 9.0ms (16.6% of total)

adjust: 6.0ms (11.1% of total)

ival-div: 5.0ms (9.2% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess31.0ms (0.4%)

Memory

-14.6MiB live, 32.1MiB allocated; 18ms 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(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 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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)

localize83.0ms (1.1%)

Memory

-13.1MiB live, 74.5MiB allocated; 12ms 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	4.038111283544795	(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	6.6014159130945815	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	14.523246668206173	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

56.0ms	206×	0	valid
5.0ms	19×	2	valid
4.0ms	21×	1	valid
4.0ms	10×	3	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

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

ival-mult: 8.0ms (38.2% of total)

ival-sqrt: 5.0ms (23.9% of total)

ival-add: 3.0ms (14.3% of total)

ival-div: 2.0ms (9.6% of total)

adjust: 2.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms 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	@	-inf	((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x))))
4.0ms	x	@	inf	((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x))))
3.0ms	p	@	0	((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x))))
2.0ms	p	@	inf	((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x))))
2.0ms	x	@	0	((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x))))

simplify195.0ms (2.5%)

Memory

-10.1MiB live, 218.0MiB allocated; 40ms 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))))
(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 (fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -2 binary64) (.f64 x x))) (*.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))))))
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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))))

rewrite204.0ms (2.6%)

Memory

-45.1MiB live, 256.1MiB allocated; 66ms 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))))))

eval92.0ms (1.2%)

Memory: 17.5MiB live, 109.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 13 452 to 2 071 computations (84.6% saved)

prune14.0ms (0.2%)

Memory

-5.7MiB live, 37.2MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	328	11	339
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	11	340

Accuracy

99.8%

Counts

340 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))
	79.7%	(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))))))
	5.2%	(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))))))
▶	56.5%	(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))))
	11.8%	(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))))
	26.0%	(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)))))
▶	17.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
	36.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	59.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	15.2%	#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)))
▶	22.1%	#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 572 to 432 computations (24.5% saved)

simplify30.0ms (0.4%)

Memory

-21.4MiB live, 28.6MiB allocated; 12ms collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	285
0	63	278
1	112	271
2	218	271
3	419	271
4	760	271
5	1136	271
6	1219	271
7	1220	271
0	1220	271

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize138.0ms (1.8%)

Memory

17.6MiB live, 151.2MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
accuracy	0.40234375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
accuracy	0.48046875	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	49.72584052864597	#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))))
accuracy	0.0	(/.f64 p x)
accuracy	0.28029252930532605	(*.f64 (/.f64 p x) (/.f64 p x))
accuracy	4.038111283544795	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
accuracy	49.089992702026564	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x)))
accuracy	0.0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 x p)
accuracy	4.038111283544795	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	27.886210966893383	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	4.038111283544795	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	26.099527493195733	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
accuracy	4.038111283544795	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))
accuracy	12.048844856324232	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64))
accuracy	14.523246668206173	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))

Samples

64.0ms	206×	0	valid
27.0ms	21×	1	valid
12.0ms	19×	2	valid
9.0ms	10×	3	valid

Compiler

Compiled 250 to 37 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-sqrt: 30.0ms (32.5% of total)

ival-add: 25.0ms (27.1% of total)

ival-mult: 19.0ms (20.6% of total)

ival-div: 10.0ms (10.8% of total)

adjust: 7.0ms (7.6% 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)

series36.0ms (0.5%)

Memory

-12.8MiB live, 41.3MiB allocated; 11ms collecting garbage

Counts

19 → 107

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ 1/2 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(/ (pow p 2) (pow x 2))
(/ p x)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(/ (* (sqrt 1/2) (sqrt 2)) x)
(/ (sqrt 1/2) x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))

Calls

6 calls:

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

simplify159.0ms (2.1%)

Memory

21.8MiB live, 214.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	2885
1	1936	2732
0	8326	2560

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ 1/2 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(/ (pow p 2) (pow x 2))
(/ p x)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(/ (* (sqrt 1/2) (sqrt 2)) x)
(/ (sqrt 1/2) x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))

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

rewrite180.0ms (2.3%)

Memory

-14.4MiB live, 222.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	252
0	63	239
1	199	220
2	1034	216
0	8548	216

Stop Event

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

Counts

19 → 267

Calls

Call 1

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

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

eval93.0ms (1.2%)

Memory: 24.5MiB live, 113.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 15 281 to 1 776 computations (88.4% saved)

prune39.0ms (0.5%)

Memory

-23.7MiB live, 29.9MiB allocated; 11ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	390	8	398
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	398	11	409

Accuracy

99.9%

Counts

409 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))
▶	79.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
	59.2%	(sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
✓	56.5%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	56.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))))
✓	59.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	26.5%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
▶	21.0%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
	22.3%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x))
▶	36.8%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
▶	22.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))

Compiler

Compiled 550 to 372 computations (32.4% saved)

simplify88.0ms (1.1%)

Memory

32.8MiB live, 123.1MiB allocated; 9ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))
cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))
cost-diff	5	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))
cost-diff	0	(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	358
0	84	358
1	158	347
2	400	345
3	1334	345
4	4800	345
0	8022	330

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64))
x
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 p p)
p
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p)
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -12 binary64)
(pow.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
(neg.f64 x)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(neg.f64 p)
p

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

localize205.0ms (2.6%)

Memory

-35.1MiB live, 305.9MiB allocated; 49ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))))
accuracy	0.296875	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))
accuracy	0.48046875	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	49.72584052864597	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))
accuracy	2.3039191538516968	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
accuracy	4.951185011905618	(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
accuracy	5.33786661227927	(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p)
accuracy	50.12592462676974	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
accuracy	0.0	(*.f64 p p)
accuracy	3.097041643481279	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
accuracy	3.721375080683789	(/.f64 (*.f64 p p) x)
accuracy	46.99874490520668	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
accuracy	40.44889387366893	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
accuracy	3.0813747913771308	(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
accuracy	4.038111283544795	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
accuracy	12.048844856324232	(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64))
accuracy	46.6795710907462	#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))

Samples

90.0ms	206×	0	valid
25.0ms	21×	1	valid
19.0ms	19×	2	valid
11.0ms	10×	3	valid

Compiler

Compiled 283 to 52 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 38.0ms (32.5% of total)

ival-mult: 31.0ms (26.5% of total)

ival-add: 19.0ms (16.3% of total)

ival-sqrt: 11.0ms (9.4% of total)

adjust: 9.0ms (7.7% of total)

ival-exp2: 3.0ms (2.6% of total)

ival-pow: 3.0ms (2.6% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series127.0ms (1.6%)

Memory

30.3MiB live, 173.1MiB allocated; 18ms collecting garbage

Counts

21 → 126

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(*.f64 p p)
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

Outputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ 1/2 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(/ (pow p 2) x)
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(* -1 (* (pow 2 1/4) (/ (* p (sqrt 1/2)) x)))
(pow p 2)
(* -12 (pow p 3))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(+ (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))))))
(* 2 (/ (pow p 2) x))
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(/ (+ (* -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))
(/ 1/8 (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))))))))
(/ (+ (* 2 (pow p 2)) (pow x 2)) x)
(/ (sqrt 1/2) x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (+ p (* 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))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(* -1 x)
(* -1 (* 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 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 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))
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	p	@	0	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p))) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (/ (sqrt 1/2) x))
29.0ms	x	@	inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p))) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (/ (sqrt 1/2) x))
25.0ms	p	@	-inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p))) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (/ (sqrt 1/2) x))
12.0ms	x	@	-inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p))) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (/ (sqrt 1/2) x))
11.0ms	x	@	0	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (pow 2 1/4) (* (pow 2 1/4) (* (/ (sqrt 1/2) x) (neg p))) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (/ (sqrt 1/2) x))

simplify229.0ms (2.9%)

Memory

-18.5MiB live, 210.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	3139
1	2082	2970
0	8553	2791

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 124

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ 1/2 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(/ (pow p 2) x)
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(* -1 (* (pow 2 1/4) (/ (* p (sqrt 1/2)) x)))
(pow p 2)
(* -12 (pow p 3))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(+ (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))))))
(* 2 (/ (pow p 2) x))
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(/ (+ (* -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))
(/ 1/8 (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))))))))
(/ (+ (* 2 (pow p 2)) (pow x 2)) x)
(/ (sqrt 1/2) x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (+ p (* 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))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(* -1 x)
(* -1 (* 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 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 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))
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.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 #s(literal -10 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64))) p) p) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 7 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 2 binary64) x)) (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p)
(* -1 (/ p x))
(/.f64 (neg.f64 p) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(.f64 (-.f64 (/.f64 (.f64 (*.f64 p p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) p)
(* -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)))
(* (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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (sqrt.f64 #s(literal 2 binary64))) (.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 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (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))))
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) #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 (.f64 p p) #s(literal -1/2 binary64)) (.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))))
(* -1 (* (pow 2 1/4) (/ (* p (sqrt 1/2)) x)))
(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(pow p 2)
(*.f64 p p)
(* -12 (pow p 3))
(*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64))
(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 (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 x p) p) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (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)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 x p) p) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (/.f64 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))))
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(fma.f64 (*.f64 x (/.f64 x (pow.f64 p #s(literal 3 binary64)))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p))
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/32 binary64) p) (.f64 x (/.f64 x p)) #s(literal 1/4 binary64))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) x) #s(literal 1/8 binary64) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/32 binary64) p) (*.f64 x (/.f64 x p)) #s(literal 1/4 binary64))) p)
(* 2 p)
(*.f64 #s(literal 2 binary64) p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (.f64 x (/.f64 x p)) #s(literal 2 binary64)) p)
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (.f64 x (/.f64 x p)) #s(literal 2 binary64))) p)
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #s(literal 2 binary64))) p)
(* -1/2 (/ (pow p 2) (pow x 2)))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 p p) x))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p))
(* -3/2 (/ (pow p 3) (pow x 2)))
(*.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (pow.f64 p #s(literal 3 binary64)))
(* 3/2 (/ (pow p 3) (pow x 3)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) x)) (pow.f64 p #s(literal 3 binary64)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) p) #s(literal -1/32 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) p) #s(literal -1/32 binary64))) x (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 2))))
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(fma.f64 (.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)) p) p (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 p p) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64))) (.f64 p p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) p) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64))) (.f64 p p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) (/.f64 (fma.f64 (fma.f64 (.f64 (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 p p)) #s(literal 2 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)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64))) (.f64 p p)))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))))) (.f64 (pow.f64 x #s(literal 6 binary64)) p))) p)) (neg.f64 x))
(/ (pow p 2) (pow x 2))
(*.f64 (/.f64 p x) (/.f64 p x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (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 p p)) #s(literal 2 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 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 p x) (/.f64 p x))) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 p x) (/.f64 p x))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (/.f64 p x) (/.f64 p x))) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (neg.f64 x) (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 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(neg.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p 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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) p) p))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 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 (+ (* -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) (fma.f64 (fma.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (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 p p)) #s(literal 2 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 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) p) p))) (.f64 (.f64 #s(literal 2 binary64) p) p))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) p) p))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x)) #s(literal 1 binary64)))

rewrite229.0ms (2.9%)

Memory

-9.2MiB live, 230.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	309
0	84	309
1	303	298
2	1945	296
0	8512	279

Stop Event

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

Counts

21 → 317

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 p)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(*.f64 p p)
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

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

eval70.0ms (0.9%)

Memory: 34.8MiB live, 79.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 19 647 to 2 224 computations (88.7% saved)

prune70.0ms (0.9%)

Memory

-22.8MiB live, 36.8MiB allocated; 25ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	3	3
Picked	2	3	5
Done	0	3	3
Total	467	10	477

Accuracy

99.9%

Counts

477 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))
✓	79.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
▶	59.2%	(sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
✓	56.5%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	56.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))))
✓	59.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	26.5%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
▶	22.3%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x))
▶	21.6%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))))
✓	36.8%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 284 to 191 computations (32.7% saved)

simplify109.0ms (1.4%)

Memory

12.2MiB live, 150.1MiB allocated; 9ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x)
cost-diff	0	#s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))))
cost-diff	0	(neg.f64 p)
cost-diff	0	(/.f64 (neg.f64 p) x)
cost-diff	0	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x))
cost-diff	0	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
cost-diff	0	#s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))
cost-diff	0	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	474
0	93	470
1	168	466
2	370	466
3	1247	466
4	5859	466
0	8582	457

Stop Event

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

Calls

Call 1

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

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

localize313.0ms (4%)

Memory

2.0MiB live, 241.9MiB allocated; 23ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	5.546163975262001	(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
accuracy	6.550906535336289	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	14.523246668206173	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	21.542668318824838	(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.203125	(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x)
accuracy	4.038111283544795	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))))
accuracy	27.886210966893383	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x)))
accuracy	0.0	(/.f64 (neg.f64 p) x)
accuracy	0.0	(neg.f64 p)
accuracy	49.72584052864597	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x))
accuracy	0.0	#s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))
accuracy	0.3122826660635143	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
accuracy	1.8671792433208234	(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
accuracy	50.12592462676974	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))))

Samples

91.0ms	62×	2	valid
88.0ms	142×	0	valid
46.0ms	40×	1	valid
18.0ms	12×	3	valid

Compiler

Compiled 397 to 65 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 66.0ms (34.5% of total)

ival-div: 35.0ms (18.3% of total)

adjust: 30.0ms (15.7% of total)

ival-sqrt: 29.0ms (15.2% of total)

ival-add: 14.0ms (7.3% of total)

ival-pow: 9.0ms (4.7% of total)

ival-sub: 6.0ms (3.1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series108.0ms (1.4%)

Memory

-10.0MiB live, 80.6MiB allocated; 21ms collecting garbage

Counts

18 → 170

Calls

Call 1

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

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 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(/ (pow p 3) (pow x 3))
(* -1 p)
(* (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)))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(* -1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow p 2))) (pow p 2))
(/ (+ (* -1/4 (pow x 2)) (* (pow p 2) (+ 1/4 (* -3/4 (/ (pow p 2) (pow x 2)))))) (pow p 2))
(/ (+ (* -1/4 (pow x 2)) (* (pow p 2) (+ 1/4 (* (pow p 2) (- (* 5/2 (/ (pow p 2) (pow x 4))) (* 3/4 (/ 1 (pow x 2)))))))) (pow p 2))
1/4
(+ 1/4 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1/4 (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1/4 (* (pow p 2) (- (* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ 1/4 p)
(/ (+ 1/4 (* 1/2 (/ p x))) p)
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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 35 (/ (pow p 2) (pow x 8))) (* 10 (/ 1 (pow x 6))))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(+ (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))))))
1/2
(+ 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)))))
(+ (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 (/ (- (* -1/16 (pow x 3)) (+ (* -1/4 (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3)))) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))))) (* (pow p 3) (sqrt 1/2)))))))
(- (+ 1/2 (* -1/16 (/ (pow x 3) (pow p 3)))) (+ (* -1/4 (/ x p)) (* -1/4 (/ (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 3)))))
(- (+ 1/2 (+ (* -1/4 (/ (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 3) (pow p 3))))) (+ (* -1/4 (/ x p)) (+ (* -1/4 (/ (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 3))) (* -1/4 (/ (+ (* -1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3)))))) (pow p 4))))))
(* -1/8 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) p))) (pow p 2))
(/ (+ (* -1/4 (/ (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))) (pow p 2))) (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) p)))) (pow p 2))
(/ (+ (* -1/4 (/ (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))) (pow p 2))) (+ (* -1/4 (/ (+ (* -1/16 (pow x 5)) (+ (* 1/4 (* (pow x 2) (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))))) (* 1/2 (* x (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))))))) (pow p 3))) (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) p))))) (pow p 2))
(* 1/16 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/16 (pow x 2))) (pow p 2))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (+ (* 1/256 (/ (pow x 6) (pow p 4))) (* 1/16 (pow x 2)))) (pow p 2))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (+ (* -1/1024 (/ (pow x 8) (pow p 6))) (+ (* 1/256 (/ (pow x 6) (pow p 4))) (* 1/16 (pow x 2))))) (pow p 2))
(/ 1/2 x)
(+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x)))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
-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)
(+ (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 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1/2 (* -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 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/16 (pow x 3)) (+ (* -1/4 (+ (* -1/8 (pow x 3)) (* 1/4 (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 (/ (- (* -1/16 (/ (pow x 3) (pow p 2))) (+ (* -1/4 x) (* -1/4 (/ (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 2))))) p)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4)))) (* -1/4 (+ (* -1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3)))))))) (pow p 3))) (* -1/16 (/ (pow x 3) (pow p 2)))) (+ (* -1/4 x) (* -1/4 (/ (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 2))))) p)))
(/ (+ (* -1/8 (pow x 2)) (* 1/16 (/ (pow x 3) p))) (pow p 2))
(/ (+ (* -1 (/ (+ (* -1/16 (pow x 3)) (* 1/4 (/ (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))) p))) p)) (* -1/8 (pow x 2))) (pow p 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4)))) (* 1/4 (/ (+ (* -1/16 (pow x 5)) (+ (* 1/4 (* (pow x 2) (+ (* -1/8 (pow x 3)) (* 1/4 (pow x 3))))) (* 1/2 (* x (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))))))) p))) p)) (* -1/16 (pow x 3))) p)) (* -1/8 (pow x 2))) (pow p 2))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(- (* -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)
(+ (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 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(+ (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) (- (* -1/16 (/ x (pow p 3))) (* 1/8 (/ 1 (pow p 2)))))
(* (pow x 2) (- (* x (- (* 1/128 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/8 (/ 1 (pow p 2)))))
(* (pow x 2) (- (* x (- (* (pow x 2) (+ (* -3/2048 (/ (pow x 2) (pow p 7))) (* 1/128 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/8 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 4))) (* 1/16 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 6))) (* 1/64 (/ 1 (pow p 4))))) (* 1/16 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/1024 (/ (pow x 2) (pow p 8))) (* 1/256 (/ 1 (pow p 6))))) (* 1/64 (/ 1 (pow p 4))))) (* 1/16 (/ 1 (pow p 2)))))
(/ (+ 1/2 (* 1/4 (/ x p))) x)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(- (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))) 1/2)
(- (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))) 1/2)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(+ 1 (+ (* -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))))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(sqrt (- (* 1/4 (- 4 (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))))) (* 1/16 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4)))))
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(* -1 (/ (+ (sqrt (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))) (* 1/2 (* (/ (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (pow x 2)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))))))) x))
(* -1 (/ (+ (sqrt (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))) (+ (* 1/2 (* (/ (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (pow x 2)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (* 1/2 (* (/ (- (* -1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* -1/4 (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))))) (* 1/4 (/ (pow (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) 2) (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (pow x 4)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))))) x))
(* -1 (/ (+ (sqrt (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))) (+ (* 1/2 (* (/ (- (* -1/4 (+ (* 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)))))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (+ (* -1/4 (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (+ (* 1/4 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 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 p 2) (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))))))))) (* 1/2 (/ (* (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (- (* -1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* -1/4 (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))))) (* 1/4 (/ (pow (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) 2) (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))))))) (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (pow x 6)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (pow x 2)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (* 1/2 (* (/ (- (* -1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* -1/4 (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))))) (* 1/4 (/ (pow (- (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* -1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) 2) (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))))))) (pow x 4)) (sqrt (/ 1 (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2)))))))))) x))
(/ (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2)))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2)))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2))) (* -1/4 (/ (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))))) (+ (* -1/4 (/ (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))) (pow x 4))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2))))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (+ (* -1/4 (/ (+ (* 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)))))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 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 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2))) (* -1/4 (/ (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4)))))) (+ (* -1/4 (/ (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (+ (* 1/4 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 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 p 2) (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))))))) (pow x 6))) (+ (* -1/4 (/ (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))) (pow x 4))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2)))))) (pow x 2))
-1/4
(- (* -1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2))) 1/4)
(- (* -1 (/ (+ (* 1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (* 1/4 (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 4))) (+ 1/4 (* 1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2)))))
(- (* -1 (/ (+ (* 1/4 (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (* 1/4 (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))))) (pow x 6))) (+ 1/4 (+ (* 1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2))) (+ (* 1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (pow x 4))) (* 1/4 (/ (pow (+ (* -4 (pow p 2)) (pow p 2)) 2) (pow x 4)))))))
(* -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
(- (/ (pow p 2) (pow x 2)) 1)
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1)

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	x	@	-inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (pow (/ p x) 3) 3/2) (/ (neg p) x)) (pow (/ p x) 3) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (neg p) x) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (* (- (/ 1/4 p) (/ -1/2 x)) x) (sqrt (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)))) (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))) (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ 1/4 p) (/ -1/2 x)) (sqrt (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))
20.0ms	x	@	inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (pow (/ p x) 3) 3/2) (/ (neg p) x)) (pow (/ p x) 3) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (neg p) x) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (* (- (/ 1/4 p) (/ -1/2 x)) x) (sqrt (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)))) (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))) (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ 1/4 p) (/ -1/2 x)) (sqrt (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))
7.0ms	p	@	inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (pow (/ p x) 3) 3/2) (/ (neg p) x)) (pow (/ p x) 3) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (neg p) x) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (* (- (/ 1/4 p) (/ -1/2 x)) x) (sqrt (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)))) (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))) (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ 1/4 p) (/ -1/2 x)) (sqrt (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))
6.0ms	p	@	0	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (pow (/ p x) 3) 3/2) (/ (neg p) x)) (pow (/ p x) 3) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (neg p) x) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (* (- (/ 1/4 p) (/ -1/2 x)) x) (sqrt (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)))) (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))) (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ 1/4 p) (/ -1/2 x)) (sqrt (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))
5.0ms	p	@	-inf	((sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (pow (/ p x) 3) 3/2) (/ (neg p) x)) (pow (/ p x) 3) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/ (neg p) x) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (* (- (/ 1/4 p) (/ -1/2 x)) x) (sqrt (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)))) (- (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ 1/4 (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))) (/ (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2)) (/ (* (* 1/4 x) x) (+ (* (* p p) 4) (* x x))) (- (/ 1/4 p) (/ -1/2 x)) (sqrt (+ (* (* p p) 4) (* x x))) (- (/ (* 1/2 x) (sqrt (+ (* (* p p) 4) (* x x)))) 1/2))

simplify247.0ms (3.2%)

Memory

30.6MiB live, 218.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1093	11781
1	3911	11638
0	8067	10935

Stop Event

1×	iter limit
1×	node limit

Counts

170 → 169

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 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(/ (pow p 3) (pow x 3))
(* -1 p)
(* (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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(/ (- (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (pow p 2))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2)))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2)))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2))) (* -1/4 (/ (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))))) (+ (* -1/4 (/ (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))) (pow x 4))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2))))) (pow x 2))
(/ (- (+ (* -1/4 (+ (* -4 (pow p 2)) (pow p 2))) (+ (* -1/4 (/ (+ (* 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)))))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (+ (* (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 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 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 2))) (* -1/4 (/ (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (+ (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 4 (pow p 4)) (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4)))))) (+ (* -1/4 (/ (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)))) (+ (* 1/4 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 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 p 2) (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))))))) (pow x 6))) (+ (* -1/4 (/ (+ (* 1/4 (* (pow p 2) (+ (* -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)))) (* (pow p 2) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4))))) (pow x 4))) (+ (* -1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow p 4)) (pow x 2))) (* -1/4 (pow p 2)))))) (pow x 2))
-1/4
(- (* -1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2))) 1/4)
(- (* -1 (/ (+ (* 1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (* 1/4 (pow (+ (* -4 (pow p 2)) (pow p 2)) 2))) (pow x 4))) (+ 1/4 (* 1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2)))))
(- (* -1 (/ (+ (* 1/4 (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (* 1/4 (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))))) (pow x 6))) (+ 1/4 (+ (* 1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2))) (+ (* 1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (pow x 4))) (* 1/4 (/ (pow (+ (* -4 (pow p 2)) (pow p 2)) 2) (pow x 4)))))))
(* -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
(- (/ (pow p 2) (pow x 2)) 1)
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1)

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))
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(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 (/ p x))
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(* (sqrt 1/2) (sqrt 2))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
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(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 p #s(literal 1/2 binary64))) p)
(* -1/4 (/ (pow x 2) (pow p 2)))
(.f64 (/.f64 #s(literal -1/4 binary64) p) (/.f64 (.f64 x x) p))
(/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow p 2))) (pow p 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (.f64 (.f64 p p) #s(literal 1/4 binary64))) (.f64 p p))
(/ (+ (* -1/4 (pow x 2)) (* (pow p 2) (+ 1/4 (* -3/4 (/ (pow p 2) (pow x 2)))))) (pow p 2))
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(/ (+ (* -1/4 (pow x 2)) (* (pow p 2) (+ 1/4 (* (pow p 2) (- (* 5/2 (/ (pow p 2) (pow x 4))) (* 3/4 (/ 1 (pow x 2)))))))) (pow p 2))
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1/4
#s(literal 1/4 binary64)
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(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
(/ (+ 1/4 (* 1/2 (/ p x))) p)
(/.f64 (fma.f64 (/.f64 p x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) p)
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(* (pow x 2) (- (* -1/4 (/ (+ (* -4 (pow p 4)) (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* (pow p 4) (pow x 2)))) (* 1/4 (/ 1 (pow p 2)))))
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(* (pow x 2) (- (* -1 (/ (+ (* 1/4 (/ (+ (* -1 (* (pow p 2) (+ (* -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))))) (pow p 4))) (* 1/4 (/ (pow (+ (* -4 (pow p 4)) (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) 2) (pow p 6)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* (pow p 4) (pow x 2)))) (* 1/4 (/ 1 (pow p 2))))))
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(-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) x) #s(literal 1/4 binary64)))
(- (* -1 (/ (+ (* 1/4 (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 1/4 (+ (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* (+ (* -4 (pow p 2)) (pow p 2)) (+ (* 1/4 (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4)))) (* 1/4 (pow (+ (* -4 (pow p 2)) (pow p 2)) 2)))))) (pow x 6))) (+ 1/4 (+ (* 1/4 (/ (+ (* -4 (pow p 2)) (pow p 2)) (pow x 2))) (+ (* 1/4 (/ (+ (* 1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))) (pow x 4))) (* 1/4 (/ (pow (+ (* -4 (pow p 2)) (pow p 2)) 2) (pow x 4)))))))
(-.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 p p))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) #s(literal 2 binary64))))) (.f64 #s(literal -3 binary64) (.f64 p p))))) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -3 binary64) (.f64 p p)) x) (/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -3 binary64) (*.f64 p p)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4 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) (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow p 2) (pow x 2)) 1)
(-.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1 binary64))
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (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 1/4 binary64) (-.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1 binary64)))
(- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1)
(fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 p x) (/.f64 p x))) #s(literal 1 binary64)))

rewrite231.0ms (3%)

Memory

4.3MiB live, 199.3MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	389
0	93	353
1	371	349
2	2409	315
0	9072	306

Stop Event

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

Counts

18 → 279

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))))
#s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))
(/.f64 (fma.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 9 binary64))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))) (.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (*.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))))))
(/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) x (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 p))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) p)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 p #s(literal 3 binary64))) x (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 p))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) p)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (neg.f64 p) (pow.f64 x #s(literal 3 binary64)) (.f64 x (.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (neg.f64 p) (pow.f64 x #s(literal 3 binary64)) (.f64 x (.f64 #s(literal 3/2 binary64) (pow.f64 p #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 p (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 x) (.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 p (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal 3/2 binary64) (pow.f64 p #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (*.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 9 binary64)) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (*.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))))))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 9 binary64)) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64))) (.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 9 binary64)) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (*.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)))) (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (/.f64 p x) (/.f64 (neg.f64 p) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 p x))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (/.f64 p x) (/.f64 (neg.f64 p) x))
(fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 p x)) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) (fabs.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) #s(literal 3/2 binary64))) (/.f64 (neg.f64 p) x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (fabs.f64 (*.f64 (/.f64 p x) #s(literal 3/2 binary64))) (/.f64 (neg.f64 p) x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (*.f64 (/.f64 p x) #s(literal 3/2 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
(fma.f64 (/.f64 p x) (fabs.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (/.f64 (neg.f64 p) x))
(fma.f64 (/.f64 p x) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 (neg.f64 p) x))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x))) (/.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x))))
(-.f64 (/.f64 (neg.f64 p) x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(-.f64 (/.f64 (neg.f64 p) x) (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 9 binary64))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))))) (/.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 p x) #s(literal 6 binary64)) (*.f64 (/.f64 (neg.f64 p) x) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))))))
(+.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 (neg.f64 p) x))
(+.f64 (/.f64 (neg.f64 p) x) (*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (/.f64 (neg.f64 p) x))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (/.f64 p x))
(*.f64 (/.f64 (neg.f64 p) x) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(*.f64 (/.f64 p x) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 p x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 p) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64)))))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64)) (fma.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 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64)) (+.f64 (/.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 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 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 (neg.f64 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.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 1/8 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) 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 (-.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.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 1/8 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) 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 (/.f64 (.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) x)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.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 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) 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 #s(literal 1/8 binary64) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) 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 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))

eval112.0ms (1.4%)

Memory: -18.7MiB live, 215.6MiB allocated; 33ms collecting garbage
Compiler: Compiled 37 898 to 2 890 computations (92.4% saved)

prune21.0ms (0.3%)

Memory

-1.8MiB live, 57.1MiB allocated; 7ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	520	12	532

Accuracy

99.9%

Counts

532 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))
✓	79.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64)))
	83.0%	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) x)))
✓	56.5%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	56.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal -1/2 binary64) x)) x))))
	53.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 #s(approx (- (/ 1/4 p) (/ -1/2 x)) (/.f64 (fma.f64 (/.f64 p x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) p)) x))))
	59.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 #s(approx (- (/ 1/4 p) (/ -1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) x))))
✓	59.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	26.5%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
✓	22.3%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x))
✓	21.6%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))))
✓	36.8%	#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 1 032 to 423 computations (59% saved)

regimes45.0ms (0.6%)

Memory

18.2MiB live, 108.4MiB allocated; 8ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

8.0ms	x
7.0ms	(.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))))))
6.0ms	p
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
83.3%	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)))))))`
83.3%	1	`p`
83.3%	1	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes20.0ms (0.3%)

Memory

0.8MiB live, 46.7MiB allocated; 3ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes23.0ms (0.3%)

Memory

-2.4MiB live, 45.7MiB allocated; 11ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes17.0ms (0.2%)

Memory

2.7MiB live, 48.1MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.3%	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))))))`
98.3%	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)

regimes18.0ms (0.2%)

Memory

-37.3MiB live, 56.0MiB allocated; 5ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.3%	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)

regimes9.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
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	(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
98.0%	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)

regimes25.0ms (0.3%)

Memory

-36.1MiB live, 20.6MiB allocated; 21ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

16.0ms	(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	x
2.0ms	p
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))))

Results

Accuracy	Segments	Branch
64.2%	2	`x`
73.8%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
73.8%	2	`p`
79.5%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
79.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
79.5%	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))))))`
79.5%	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)

regimes7.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(.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
36.8%	1	`x`
36.8%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
36.8%	1	`p`
36.8%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
36.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
36.8%	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))))))`
36.8%	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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.666000468656264e-8	0.002956006185699616

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.666000468656264e-8	0.002956006185699616

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.666000468656264e-8	0.002956006185699616

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002956006185699616	0.7071020042875551

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7090177389567371	0.9999985497536082
0.0ms	0.002956006185699616	0.7071020042875551

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7090177389567371	0.9999985497536082
0.0ms	0.002956006185699616	0.7071020042875551

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch2.0ms (0%)

Memory

-45.7MiB live, 1.3MiB allocated; 3ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7090177389567371	0.9999985497536082
1.0ms	0.002956006185699616	0.7071020042875551

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7090177389567371	0.9999985497536082

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)

simplify66.0ms (0.9%)

Memory

26.2MiB live, 68.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	662
1	166	662
2	311	662
3	844	662
4	3295	662
5	6054	662
6	7620	662
7	7963	662

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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64))))
(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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) 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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) 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 3022314549036573/151115727451828646838272 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64))))
(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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) 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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 5764607523034235/1152921504606846976 binary64)) #s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 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 (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x))))) 1/2)) #s(literal 1 binary64))

derivations886.0ms (11.4%)

Memory

14.1MiB live, 768.4MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	252
0	63	239
1	199	220
2	1034	216
0	8548	216
0	621	3139
1	2082	2970
0	8553	2791
0	14	66
0	23	66
1	79	66
2	516	66
3	5478	66
0	8290	59
0	67	389
0	93	353
1	371	349
2	2409	315
0	9072	306
0	434	2187
1	1515	2073
2	6574	2046
0	8853	1907
0	565	2885
1	1936	2732
0	8326	2560

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 662 to 105 computations (84.1% saved)

preprocess77.0ms (1%)

Memory: -1.7MiB live, 93.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 554 to 370 computations (76.2% 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%)

analyze527.0ms (6.8%)

sample2.3s (30.1%)

explain214.0ms (2.8%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize83.0ms (1.1%)

series18.0ms (0.2%)

simplify195.0ms (2.5%)

rewrite204.0ms (2.6%)

eval92.0ms (1.2%)

prune14.0ms (0.2%)

simplify30.0ms (0.4%)

localize138.0ms (1.8%)

series36.0ms (0.5%)

simplify159.0ms (2.1%)

rewrite180.0ms (2.3%)

eval93.0ms (1.2%)

prune39.0ms (0.5%)

simplify88.0ms (1.1%)

localize205.0ms (2.6%)

series127.0ms (1.6%)

simplify229.0ms (2.9%)

rewrite229.0ms (2.9%)

eval70.0ms (0.9%)

prune70.0ms (0.9%)

simplify109.0ms (1.4%)

localize313.0ms (4%)

series108.0ms (1.4%)

simplify247.0ms (3.2%)

rewrite231.0ms (3%)

eval112.0ms (1.4%)

prune21.0ms (0.3%)

regimes45.0ms (0.6%)

regimes20.0ms (0.3%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch4.0ms (0.1%)

simplify66.0ms (0.9%)

derivations886.0ms (11.4%)

preprocess77.0ms (1%)

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