Metrics for Given's Rotation SVD example

analyze483.0ms (3.8%)

Memory

-11.2MiB live, 778.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.4s (18.7%)

Memory

-109.9MiB live, 3 414.4MiB allocated

Samples

1.3s	6 215×	0	valid
353.0ms	985×	2	valid
160.0ms	410×	3	valid
137.0ms	646×	1	valid

Precisions

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

ival-mult: 368.0ms (22.5% of total)

ival-<: 320.0ms (19.6% of total)

const: 313.0ms (19.1% of total)

ival-sqrt: 197.0ms (12% of total)

ival-add: 183.0ms (11.2% of total)

ival-div: 103.0ms (6.3% of total)

adjust: 63.0ms (3.8% of total)

ival-fabs: 62.0ms (3.8% of total)

exact: 13.0ms (0.8% of total)

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

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

Bogosity

preprocess68.0ms (0.5%)

Memory

6.5MiB live, 46.4MiB allocated

Algorithm

2×	egg-herbie

Rules

248×	`distribute-lft-neg-in`
218×	`unsub-neg`
196×	`associate-r`
196×	`associate-l`
166×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	108
1	102	104
2	202	104
3	407	104
4	666	104
5	1003	104
6	1335	104
7	1547	104
8	1699	104
9	1935	104
10	2002	104
11	2030	104
12	2032	104
0	14	17
1	29	17
2	36	17
3	38	17
4	39	17
0	39	15

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

Outputs

(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

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

Call 2

Inputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x)))))))
(sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x))))))))
(neg (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x))))))))
(neg (sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x)))))))))
(sqrt (* 1/2 (+ 1 (/ p (sqrt (+ (* (* 4 x) x) (* p p)))))))

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

Symmetry

(abs p)

explain247.0ms (2%)

Memory

-10.6MiB live, 509.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
33	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
22	-	1	(3.0933299348004117e-89 -2.7457628948864947e+66)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	64	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	64
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	64
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	33	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	21	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	5
↳	`(.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	26
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	26
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	10
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	64

Confusion

	Predicted +	Predicted -
+	54	0
-	64	138

Precision

0.4576271186440678

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	64	0	138

Precision?

0.4576271186440678

Recall?

1.0

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	394×	0	valid
16.0ms	18×	3	valid
14.0ms	56×	2	valid
8.0ms	44×	1	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 15.0ms (34.2% of total)

ival-sqrt: 12.0ms (27.4% of total)

ival-add: 7.0ms (16% of total)

ival-div: 5.0ms (11.4% of total)

adjust: 3.0ms (6.8% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x)))))
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
18×	`accelerator-lowering-fma.f32`
18×	`accelerator-lowering-fma.f64`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	21	84
2	27	84
3	31	84
4	35	84
5	37	84
0	37	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))))
(+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x)))))
1/2
(/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))
(* 1/2 x)
x
(sqrt (+ (* 4 (* p p)) (* x x)))
(+ (* 4 (* p p)) (* x x))
(* 4 (* p p))
4
(* p p)
p
(* x x)

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

localize148.0ms (1.2%)

Memory

-15.3MiB live, 139.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 p p))
✓	accuracy	92.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))
✓	accuracy	88.1%	(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x)))))
✓	accuracy	76.8%	(sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (*.f64 x x)))

Samples

17.0ms	197×	0	valid
9.0ms	28×	2	valid
5.0ms	9×	3	valid
4.0ms	22×	1	valid

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (35.4% of total)

ival-sqrt: 5.0ms (22.1% of total)

ival-add: 5.0ms (22.1% of total)

ival-div: 3.0ms (13.3% of total)

adjust: 1.0ms (4.4% of total)

exact: 0.0ms (0% of total)

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

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

series21.0ms (0.2%)

Memory

10.7MiB live, 44.7MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))))>
#<alt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x)))))>
#<alt (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))>
#<alt (* 1/2 x)>
#<alt (sqrt (+ (* 4 (* p p)) (* x x)))>
#<alt (* 4 (* p p))>

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

Calls

30 calls:

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

rewrite333.0ms (2.6%)

Memory

-9.6MiB live, 634.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 158×	`accelerator-lowering-fma.f32`
5 158×	`accelerator-lowering-fma.f64`
4 026×	`-lowering-.f32`
4 026×	`-lowering-.f64`
2 596×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	61	65
2	481	65
3	6601	65
0	8257	59

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 204

Calls

Call 1

Inputs
(sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))))
(+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x)))))
(/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))
(* 1/2 x)
(sqrt (+ (* 4 (* p p)) (* x x)))
(* 4 (* p p))

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

simplify476.0ms (3.8%)

Memory

23.4MiB live, 819.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 750×	`accelerator-lowering-fma.f32`
12 750×	`accelerator-lowering-fma.f64`
6 162×	`-lowering-.f32`
6 162×	`-lowering-.f64`
5 216×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	2162
1	1114	2111
2	3664	2048
0	8026	1900

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/64 binary64)) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+ (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)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 p (.f64 p p))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p)))) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 p p)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x 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)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 11/4 binary64))) (.f64 (.f64 x x) (*.f64 x 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))) (* 1/2 (/ (- (* -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))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 11/4 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64))) (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 p (.f64 p (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 11/4 binary64)))))) (pow.f64 x #s(literal 6 binary64))))))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (.f64 x x)))) (.f64 (/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) #s(literal -1/64 binary64)) (.f64 p p))) p) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 p (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (.f64 x x))) (.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) #s(literal -1/64 binary64)) (.f64 p p))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64))) (+.f64 (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (.f64 p p)))))) (.f64 (/.f64 #s(literal -1/8 binary64) p) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) #s(literal -1/64 binary64)) (.f64 p p)))) p))) (pow.f64 x #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 p (.f64 p (+.f64 (/.f64 (.f64 (.f64 p p) #s(literal 11/8 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (+.f64 (.f64 (.f64 p p) (+.f64 (/.f64 (.f64 (.f64 p p) #s(literal -69/16 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) p))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/64 binary64)) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/64 binary64)) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 p p))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) p) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) 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)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))))) p)) p))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) 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)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (.f64 x (.f64 x (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3/512 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 p (*.f64 p p)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x)))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64))) (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 p p) (*.f64 x x)))))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
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(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))

eval63.0ms (0.5%)

Memory: -15.0MiB live, 112.7MiB allocated
Compiler: Compiled 10 646 to 1 239 computations (88.4% saved)

prune53.0ms (0.4%)

Memory

4.1MiB live, 81.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	316	8	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	316	9	325

Accuracy

100.0%

Counts

325 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.1%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
	25.4%	(-.f64 #s(literal 0 binary64) (/.f64 p x))
▶	28.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
▶	56.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
▶	56.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	80.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))
	51.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
▶	55.8%	(sqrt.f64 #s(literal 1/2 binary64))
▶	38.0%	#s(literal 1 binary64)

Compiler

Compiled 247 to 169 computations (31.6% saved)

simplify53.0ms (0.4%)

Memory

9.2MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p))))))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 p p)
✓	cost-diff	0	(.f64 (.f64 p p) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))))))))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
✓	cost-diff	128	(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))

Rules

720×	`-lowering-.f32`
720×	`-lowering-.f64`
520×	`accelerator-lowering-fma.f32`
520×	`accelerator-lowering-fma.f64`
400×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	295
1	83	295
2	196	295
3	449	295
4	807	285
5	860	285
6	874	285
7	878	285
8	881	285
0	881	266

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))))
1/2
(/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))
(* 1/2 x)
x
(+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))
(* p 2)
p
2
(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))
(* x x)
(+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))
(/ 1/4 p)
1/4
(/ (* (* x x) -1/64) (* p (* p p)))
(* (* x x) -1/64)
-1/64
(* p (* p p))
(* p p)
1
(+ 1 (/ (* (* p p) -1/2) (* x x)))
1
(/ (* (* p p) -1/2) (* x x))
(* (* p p) -1/2)
(* p p)
p
-1/2
(* x x)
x
(sqrt 1/2)
1/2
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p))))))
1/2
(/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))
(* 1/2 x)
x
(+ (* p 2) (* x (* x (/ 1/4 p))))
(* p 2)
p
2
(* x (* x (/ 1/4 p)))
(* x (/ 1/4 p))
(/ 1/4 p)
1/4

Outputs
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)))) p)))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)))) p))))
1/2
#s(literal 1/2 binary64)
(/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)))) p)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
(+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))
(+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal -1/64 binary64)) p) p)))) p))
(* p 2)
(*.f64 p #s(literal 2 binary64))
p
2
#s(literal 2 binary64)
(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)))) p)
(* x x)
(*.f64 x x)
(+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))
(+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) (*.f64 p p)))
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
1/4
#s(literal 1/4 binary64)
(/ (* (* x x) -1/64) (* p (* p p)))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) (*.f64 p p))
(* (* x x) -1/64)
(.f64 (.f64 x x) #s(literal -1/64 binary64))
-1/64
#s(literal -1/64 binary64)
(* p (* p p))
(.f64 p (.f64 p p))
(* p p)
(*.f64 p p)
1
#s(literal 1 binary64)
(+ 1 (/ (* (* p p) -1/2) (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 p (/.f64 (.f64 p #s(literal -1/2 binary64)) x)) x))
1
#s(literal 1 binary64)
(/ (* (* p p) -1/2) (* x x))
(/.f64 (.f64 p (/.f64 (.f64 p #s(literal -1/2 binary64)) x)) x)
(* (* p p) -1/2)
(.f64 p (.f64 p #s(literal -1/2 binary64)))
(* p p)
(*.f64 p p)
p
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) p)))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) p))))
1/2
#s(literal 1/2 binary64)
(/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))
(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) p)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
(+ (* p 2) (* x (* x (/ 1/4 p))))
(+.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) p))
(* p 2)
(*.f64 p #s(literal 2 binary64))
p
2
#s(literal 2 binary64)
(* x (* x (/ 1/4 p)))
(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) p)
(* x (/ 1/4 p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
1/4
#s(literal 1/4 binary64)

localize137.0ms (1.1%)

Memory

-0.7MiB live, 193.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	accuracy	99.7%	(.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))
✓	accuracy	99.6%	(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
✓	accuracy	93.1%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 p p)
✓	accuracy	100.0%	(.f64 (.f64 p p) #s(literal -1/2 binary64))
✓	accuracy	87.7%	(/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x))
✓	accuracy	99.8%	(.f64 p (.f64 p p))
✓	accuracy	97.7%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))
✓	accuracy	96.4%	(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))
✓	accuracy	92.4%	(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))

Samples

68.0ms

256×

valid

Compiler

Compiled 313 to 34 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 27.0ms (53.9% of total)

ival-div: 8.0ms (16% of total)

ival-sqrt: 7.0ms (14% of total)

ival-add: 6.0ms (12% of total)

exact: 1.0ms (2% of total)

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

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

series38.0ms (0.3%)

Memory

-1.8MiB live, 72.0MiB allocated

Counts

18 → 348

Calls

Call 1

Inputs
#<alt (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))>
#<alt (sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))))>
#<alt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))))>
#<alt (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))>
#<alt (+ 1 (/ (* (* p p) -1/2) (* x x)))>
#<alt (/ (* (* p p) -1/2) (* x x))>
#<alt (* (* p p) -1/2)>
#<alt (* p p)>
#<alt (sqrt 1/2)>
#<alt (sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))))>
#<alt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p))))))>
#<alt (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))>
#<alt (* 1/2 x)>
#<alt (/ (* (* x x) -1/64) (* p (* p p)))>
#<alt (* p (* p p))>
#<alt (* x x)>
#<alt (* x (/ 1/4 p))>
#<alt (* x (* x (/ 1/4 p)))>

Outputs
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))>
#<alt (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))>
#<alt (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))>
#<alt (* -1/64 (/ (pow x 4) (pow p 3)))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* -1/64 (/ (pow x 4) (pow p 3)))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))>
#<alt (* -1/64 (/ (pow x 4) (pow p 3)))>
#<alt (/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))>
#<alt (/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))>
#<alt (/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)>
#<alt (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)>
#<alt (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))>
#<alt (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))>
#<alt (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (+ (* -128 (/ (pow p 6) (* (pow x 6) (pow (sqrt 1/2) 3)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2))))) (pow x 3))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (+ (* 128 (/ (pow p 6) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2)))))) (pow x 3))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* (pow p 3) (- (* -256 (/ (pow p 2) (* (pow x 5) (sqrt 1/2)))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* (pow p 3) (- (* (pow p 2) (- (* -128 (/ p (* (pow x 6) (pow (sqrt 1/2) 3)))) (* 256 (/ 1 (* (pow x 5) (sqrt 1/2)))))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/32 (pow x 3)) (* 1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))>
#<alt (+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (* -32 (/ (pow p 3) (pow x 3)))))>
#<alt (+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (+ (* -32 (/ (pow p 3) (pow x 3))) (* -1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 7))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* 512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3))) (pow x 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 4))) (+ (* -512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3)))) (pow x 3))))>
#<alt 1/2>
#<alt (+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))>
#<alt (+ 1/2 (* (pow p 3) (- (* -512 (/ (pow p 2) (pow x 5))) (* 32 (/ 1 (pow x 3))))))>
#<alt (+ 1/2 (* (pow p 3) (- (* (pow p 2) (- (* -12288 (/ (pow p 2) (pow x 7))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 3))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2))))) p)))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/1024 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))>
#<alt (* -32 (/ (pow p 3) (pow x 3)))>
#<alt (/ (+ (* -512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3))) (pow x 3))>
#<alt (/ (- (+ (* -32 (pow p 3)) (* -1 (/ (+ (* 4096 (pow p 7)) (* 8192 (pow p 7))) (pow x 4)))) (* 512 (/ (pow p 5) (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ (* -32 (pow p 3)) (* -1 (/ (+ (* 16 (* (pow p 2) (+ (* 4096 (pow p 7)) (* 8192 (pow p 7))))) (* 65536 (pow p 9))) (pow x 6)))) (+ (* 512 (/ (pow p 5) (pow x 2))) (+ (* 4096 (/ (pow p 7) (pow x 4))) (* 8192 (/ (pow p 7) (pow x 4)))))) (pow x 3))>
#<alt (* -32 (/ (pow p 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 32 (pow p 3)) (* 512 (/ (pow p 5) (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -8192 (pow p 7)) (* -4096 (pow p 7))) (pow x 4))) (* 32 (pow p 3))) (* -512 (/ (pow p 5) (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -65536 (pow p 9)) (* 16 (* (pow p 2) (+ (* -8192 (pow p 7)) (* -4096 (pow p 7)))))) (pow x 6))) (* 32 (pow p 3))) (+ (* -8192 (/ (pow p 7) (pow x 4))) (+ (* -4096 (/ (pow p 7) (pow x 4))) (* -512 (/ (pow p 5) (pow x 2)))))) (pow x 3)))>
#<alt (* -32 (/ (pow p 3) (pow x 3)))>
#<alt (* (pow p 3) (- (* -512 (/ (pow p 2) (pow x 5))) (* 32 (/ 1 (pow x 3)))))>
#<alt (* (pow p 3) (- (* (pow p 2) (- (* -12288 (/ (pow p 2) (pow x 7))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 3)))))>
#<alt (* (pow p 3) (- (* (pow p 2) (- (* (pow p 2) (- (* -262144 (/ (pow p 2) (pow x 9))) (* 12288 (/ 1 (pow x 7))))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 3)))))>
#<alt (* 1/4 (/ x p))>
#<alt (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/2048 (pow x 7))) (pow p 6))) (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)))) p)>
#<alt (* 1/4 (/ x p))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2))))) p))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))))) (* -1/2048 (pow x 7))) (pow p 6))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))))) p))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (* -1/2 (pow p 2))>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (pow p 2) (* (pow x 2) (pow (sqrt 1/2) 3)))) (/ p (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (pow p 2) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (- (* -16 (pow p 3)) (* -1 (/ (pow p 3) (pow (sqrt 1/2) 4)))) (* (pow x 3) (sqrt 1/2)))) (/ p (* x (sqrt 1/2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ p (sqrt 1/2))) (* 1/2 (/ (pow p 2) (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ p (sqrt 1/2))) (* -1 (/ (+ (* -1/2 (/ (pow p 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (+ (* -16 (pow p 3)) (/ (pow p 3) (pow (sqrt 1/2) 4))) (* x (sqrt 1/2))))) x))) x)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* p (+ (* -1/2 (/ p (* (pow x 2) (pow (sqrt 1/2) 3)))) (/ 1 (* x (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* p (+ (* p (- (* 1/2 (/ (* p (- (/ 1 (* (pow x 3) (pow (sqrt 1/2) 4))) (* 16 (/ 1 (pow x 3))))) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (/ 1 (* x (sqrt 1/2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/32 (pow x 3)) (* 1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ p x)))>
#<alt (+ 1/2 (+ (* -16 (/ (pow p 3) (pow x 3))) (* 2 (/ p x))))>
#<alt (+ 1/2 (+ (* -16 (/ (pow p 3) (pow x 3))) (+ (* 2 (/ p x)) (* 128 (/ (pow p 5) (pow x 5))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ p x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 16 (/ (pow p 3) (pow x 2))) (* 2 p)) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* -128 (/ (pow p 5) (pow x 4))) (+ (* -16 (/ (pow p 3) (pow x 2))) (* 2 p))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ p x)))>
#<alt (+ 1/2 (* p (+ (* -16 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ 1/2 (* p (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 5))) (* 16 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (+ (* 1/256 (/ (pow x 5) (pow p 5))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/32 (/ (pow x 3) (pow p 2))))) p)))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2048 (/ (pow x 2) (pow p 7))) (* 1/256 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))>
#<alt (* 2 (/ p x))>
#<alt (/ (+ (* -16 (/ (pow p 3) (pow x 2))) (* 2 p)) x)>
#<alt (/ (- (+ (* 2 p) (* 128 (/ (pow p 5) (pow x 4)))) (* 16 (/ (pow p 3) (pow x 2)))) x)>
#<alt (/ (- (+ (* -1024 (/ (pow p 7) (pow x 6))) (* 2 p)) (+ (* -128 (/ (pow p 5) (pow x 4))) (* 16 (/ (pow p 3) (pow x 2))))) x)>
#<alt (* 2 (/ p x))>
#<alt (* -1 (/ (+ (* -2 p) (* 16 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ (* -128 (/ (pow p 5) (pow x 4))) (* -2 p)) (* -16 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ (* -2 p) (* 1024 (/ (pow p 7) (pow x 6)))) (+ (* -16 (/ (pow p 3) (pow x 2))) (* 128 (/ (pow p 5) (pow x 4))))) x))>
#<alt (* 2 (/ p x))>
#<alt (* p (+ (* -16 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))>
#<alt (* p (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 5))) (* 16 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))>
#<alt (* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1024 (/ (pow p 2) (pow x 7))) (* 128 (/ 1 (pow x 5))))) (* 16 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)>
#<alt (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (+ (* 1/256 (/ (pow x 5) (pow p 4))) (* 1/4 x))) p)>
#<alt (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (+ (* -1/2048 (/ (pow x 7) (pow p 6))) (+ (* 1/256 (/ (pow x 5) (pow p 4))) (* 1/4 x)))) p)>
#<alt (* 1/4 (/ x p))>
#<alt (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p))>
#<alt (* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/32 (/ (pow x 3) (pow p 2))))) p))>
#<alt (* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (+ (* 1/2048 (/ (pow x 7) (pow p 6))) (* 1/32 (/ (pow x 3) (pow p 2)))))) p))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (* -1/64 (/ (pow x 2) (pow p 3)))>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow p 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ x p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>
#<alt (* 1/4 (/ (pow x 2) p))>

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))))
2.0ms	p	@	-inf	(/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))
1.0ms	x	@	0	(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))
1.0ms	p	@	0	(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))
1.0ms	x	@	inf	(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))

rewrite535.0ms (4.2%)

Memory

-60.5MiB live, 866.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 162×	`accelerator-lowering-fma.f32`
7 162×	`accelerator-lowering-fma.f64`
5 218×	`/-lowering-/.f32`
5 218×	`/-lowering-/.f64`
5 148×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	207
1	197	207
2	2071	207
0	9005	192

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 593

Calls

Call 1

Inputs
(* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p))))))))
(/ (* 1/2 x) (+ (* p 2) (* (* x x) (+ (/ 1/4 p) (/ (* (* x x) -1/64) (* p (* p p)))))))
(+ 1 (/ (* (* p p) -1/2) (* x x)))
(/ (* (* p p) -1/2) (* x x))
(* (* p p) -1/2)
(* p p)
(sqrt 1/2)
(sqrt (+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))))
(+ 1/2 (/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p))))))
(/ (* 1/2 x) (+ (* p 2) (* x (* x (/ 1/4 p)))))
(* 1/2 x)
(/ (* (* x x) -1/64) (* p (* p p)))
(* p (* p p))
(* x x)
(* x (/ 1/4 p))
(* x (* x (/ 1/4 p)))

Outputs
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64)))))
(+.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64))))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 x (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) p) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) p) (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 p (.f64 p p))) (.f64 x x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (.f64 x x) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) p) x (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 (.f64 x x) p) #s(literal 1/4 binary64) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 (.f64 x x) p) (.f64 (/.f64 #s(literal -1/64 binary64) (.f64 p p)) (.f64 x x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) p) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) p) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) p) (/.f64 (.f64 x x) (/.f64 (.f64 p p) #s(literal -1/64 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal -1/64 binary64) (.f64 p p)) (/.f64 (.f64 x x) (/.f64 p (.f64 x x))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 (.f64 x x) (/.f64 (.f64 p p) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 p (.f64 p p))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x p) (/.f64 x (/.f64 (.f64 p p) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x p) (/.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 x (.f64 p p)) (/.f64 x (/.f64 p (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (/.f64 (.f64 x x) (/.f64 p (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) x) x (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (.f64 p (.f64 p p))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p p)) (/.f64 (.f64 x x) p) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p) (/.f64 (.f64 x x) p) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 p p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (.f64 p (.f64 p p))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 (.f64 p p) x)) (/.f64 x (/.f64 p (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 p x)) (/.f64 x (/.f64 (.f64 p p) (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 p (.f64 x x))) (/.f64 x (/.f64 (.f64 p p) #s(literal -1/64 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 (.f64 p p) #s(literal -1/64 binary64))) (/.f64 x (/.f64 p (.f64 x x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 p #s(literal -1/64 binary64))) (/.f64 x (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x (/.f64 (.f64 p p) (.f64 x x))) (/.f64 x (/.f64 p #s(literal -1/64 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 3/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (pow.f64 p #s(literal 3/2 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (pow.f64 p #s(literal 3/2 binary64))) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3/2 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p p) x)) (/.f64 #s(literal 1 binary64) (/.f64 p (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 p x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 p (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (.f64 p p)) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p p) #s(literal -1/64 binary64))) (/.f64 (.f64 x x) p) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 p #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 x x) (/.f64 p #s(literal -1/64 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 p #s(literal -1/64 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 p #s(literal -1/64 binary64))) (/.f64 (.f64 x x) (/.f64 (.f64 p p) (.f64 x x))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 p p)) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) p)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))
(fma.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 p p))) (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) p) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) p) (/.f64 (.f64 x x) (neg.f64 (.f64 p p))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) x)) (/.f64 (.f64 x x) (/.f64 p (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 p x)) (/.f64 (.f64 x x) (/.f64 (.f64 p p) (.f64 x #s(literal -1/64 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x x) (.f64 p (.f64 p p))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) p))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 p (.f64 p p)) #s(literal 1/64 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64))))) (+.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 p (.f64 p p))) (.f64 p (.f64 (.f64 x x) #s(literal -1/64 binary64))))) (.f64 p (.f64 p (*.f64 p p))))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 p (.f64 p p))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64)) (.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p) #s(literal 1/4 binary64)) p) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))))
(/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p))) (.f64 p p))) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)) p))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 p (.f64 p p))) (.f64 p (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (.f64 x x)) (.f64 p (.f64 p (*.f64 p p))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 p (.f64 p p))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64)) (.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p) #s(literal 1/4 binary64)) p) (/.f64 (.f64 p (.f64 p p)) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p))) (.f64 p p)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) p) p)) p))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 p (.f64 p p)) #s(literal 1/64 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 p (.f64 p p)) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64)))))) (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) p) (/.f64 (.f64 x x) (/.f64 (.f64 p (.f64 p p)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))))))))
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(.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) p))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) p))

simplify863.0ms (6.9%)

Memory

50.7MiB live, 903.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 860×	`accelerator-lowering-fma.f32`
9 860×	`accelerator-lowering-fma.f64`
6 428×	`-lowering-.f32`
6 428×	`-lowering-.f64`
3 056×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	4324
1	1604	4269
2	4903	4174
0	8347	3961

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* 1/4 (/ (pow x 2) p))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(* -1/64 (/ (pow x 4) (pow p 3)))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* -1/64 (/ (pow x 4) (pow p 3)))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(* -1/64 (/ (pow x 4) (pow p 3)))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(* 1/4 (/ (pow x 2) p))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(* 1/4 (/ (pow x 2) p))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (+ (* -128 (/ (pow p 6) (* (pow x 6) (pow (sqrt 1/2) 3)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2))))) (pow x 3))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (+ (* 128 (/ (pow p 6) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2)))))) (pow x 3))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+ (sqrt 1/2) (* (pow p 3) (- (* -256 (/ (pow p 2) (* (pow x 5) (sqrt 1/2)))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))
(+ (sqrt 1/2) (* (pow p 3) (- (* (pow p 2) (- (* -128 (/ p (* (pow x 6) (pow (sqrt 1/2) 3)))) (* 256 (/ 1 (* (pow x 5) (sqrt 1/2)))))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) 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
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1/2
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (* -32 (/ (pow p 3) (pow x 3)))))
(+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (+ (* -32 (/ (pow p 3) (pow x 3))) (* -1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 7))))))
1/2
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+ 1/2 (* -1 (/ (- (* 512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3))) (pow x 3))))
(+ 1/2 (* -1 (/ (- (* 1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 4))) (+ (* -512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3)))) (pow x 3))))
1/2
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+ 1/2 (* (pow p 3) (- (* -512 (/ (pow p 2) (pow x 5))) (* 32 (/ 1 (pow x 3))))))
(+ 1/2 (* (pow p 3) (- (* (pow p 2) (- (* -12288 (/ (pow p 2) (pow x 7))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 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 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2))))) p)))
(* 1/4 (/ x p))
(* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/1024 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))
(* -32 (/ (pow p 3) (pow x 3)))
(/ (+ (* -512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3))) (pow x 3))
(/ (- (+ (* -32 (pow p 3)) (* -1 (/ (+ (* 4096 (pow p 7)) (* 8192 (pow p 7))) (pow x 4)))) (* 512 (/ (pow p 5) (pow x 2)))) (pow x 3))
(/ (- (+ (* -32 (pow p 3)) (* -1 (/ (+ (* 16 (* (pow p 2) (+ (* 4096 (pow p 7)) (* 8192 (pow p 7))))) (* 65536 (pow p 9))) (pow x 6)))) (+ (* 512 (/ (pow p 5) (pow x 2))) (+ (* 4096 (/ (pow p 7) (pow x 4))) (* 8192 (/ (pow p 7) (pow x 4)))))) (pow x 3))
(* -32 (/ (pow p 3) (pow x 3)))
(* -1 (/ (+ (* 32 (pow p 3)) (* 512 (/ (pow p 5) (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -8192 (pow p 7)) (* -4096 (pow p 7))) (pow x 4))) (* 32 (pow p 3))) (* -512 (/ (pow p 5) (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -65536 (pow p 9)) (* 16 (* (pow p 2) (+ (* -8192 (pow p 7)) (* -4096 (pow p 7)))))) (pow x 6))) (* 32 (pow p 3))) (+ (* -8192 (/ (pow p 7) (pow x 4))) (+ (* -4096 (/ (pow p 7) (pow x 4))) (* -512 (/ (pow p 5) (pow x 2)))))) (pow x 3)))
(* -32 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* -512 (/ (pow p 2) (pow x 5))) (* 32 (/ 1 (pow x 3)))))
(* (pow p 3) (- (* (pow p 2) (- (* -12288 (/ (pow p 2) (pow x 7))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 3)))))
(* (pow p 3) (- (* (pow p 2) (- (* (pow p 2) (- (* -262144 (/ (pow p 2) (pow x 9))) (* 12288 (/ 1 (pow x 7))))) (* 512 (/ 1 (pow x 5))))) (* 32 (/ 1 (pow x 3)))))
(* 1/4 (/ x p))
(/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)
(/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)
(/ (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/2048 (pow x 7))) (pow p 6))) (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)))) p)
(* 1/4 (/ x p))
(* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p))
(* -1 (/ (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2))))) p))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (* (pow x 2) (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))))) (* -1/2048 (pow x 7))) (pow p 6))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 5)) (* 1/128 (pow x 5))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))))) p))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(* -1/2 (pow p 2))
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (pow p 2) (* (pow x 2) (pow (sqrt 1/2) 3)))) (/ p (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (pow p 2) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (- (* -16 (pow p 3)) (* -1 (/ (pow p 3) (pow (sqrt 1/2) 4)))) (* (pow x 3) (sqrt 1/2)))) (/ p (* x (sqrt 1/2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ p (sqrt 1/2))) (* 1/2 (/ (pow p 2) (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ p (sqrt 1/2))) (* -1 (/ (+ (* -1/2 (/ (pow p 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (+ (* -16 (pow p 3)) (/ (pow p 3) (pow (sqrt 1/2) 4))) (* x (sqrt 1/2))))) x))) x)))
(sqrt 1/2)
(+ (sqrt 1/2) (/ p (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* p (+ (* -1/2 (/ p (* (pow x 2) (pow (sqrt 1/2) 3)))) (/ 1 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* p (+ (* p (- (* 1/2 (/ (* p (- (/ 1 (* (pow x 3) (pow (sqrt 1/2) 4))) (* 16 (/ 1 (pow x 3))))) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (/ 1 (* x (sqrt 1/2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) 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
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1/2
(+ 1/2 (* 2 (/ p x)))
(+ 1/2 (+ (* -16 (/ (pow p 3) (pow x 3))) (* 2 (/ p x))))
(+ 1/2 (+ (* -16 (/ (pow p 3) (pow x 3))) (+ (* 2 (/ p x)) (* 128 (/ (pow p 5) (pow x 5))))))
1/2
(+ 1/2 (* 2 (/ p x)))
(+ 1/2 (* -1 (/ (- (* 16 (/ (pow p 3) (pow x 2))) (* 2 p)) x)))
(+ 1/2 (* -1 (/ (- (* -128 (/ (pow p 5) (pow x 4))) (+ (* -16 (/ (pow p 3) (pow x 2))) (* 2 p))) x)))
1/2
(+ 1/2 (* 2 (/ p x)))
(+ 1/2 (* p (+ (* -16 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ 1/2 (* p (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 5))) (* 16 (/ 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 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (+ (* 1/256 (/ (pow x 5) (pow p 5))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/32 (/ (pow x 3) (pow p 2))))) p)))
(* 1/4 (/ x p))
(* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2048 (/ (pow x 2) (pow p 7))) (* 1/256 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))
(* 2 (/ p x))
(/ (+ (* -16 (/ (pow p 3) (pow x 2))) (* 2 p)) x)
(/ (- (+ (* 2 p) (* 128 (/ (pow p 5) (pow x 4)))) (* 16 (/ (pow p 3) (pow x 2)))) x)
(/ (- (+ (* -1024 (/ (pow p 7) (pow x 6))) (* 2 p)) (+ (* -128 (/ (pow p 5) (pow x 4))) (* 16 (/ (pow p 3) (pow x 2))))) x)
(* 2 (/ p x))
(* -1 (/ (+ (* -2 p) (* 16 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (- (+ (* -128 (/ (pow p 5) (pow x 4))) (* -2 p)) (* -16 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (- (+ (* -2 p) (* 1024 (/ (pow p 7) (pow x 6)))) (+ (* -16 (/ (pow p 3) (pow x 2))) (* 128 (/ (pow p 5) (pow x 4))))) x))
(* 2 (/ p x))
(* p (+ (* -16 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 5))) (* 16 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1024 (/ (pow p 2) (pow x 7))) (* 128 (/ 1 (pow x 5))))) (* 16 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* 1/4 (/ x p))
(/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)
(/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (+ (* 1/256 (/ (pow x 5) (pow p 4))) (* 1/4 x))) p)
(/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (+ (* -1/2048 (/ (pow x 7) (pow p 6))) (+ (* 1/256 (/ (pow x 5) (pow p 4))) (* 1/4 x)))) p)
(* 1/4 (/ x p))
(* -1 (/ (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2)))) p))
(* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/32 (/ (pow x 3) (pow p 2))))) p))
(* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (+ (* 1/2048 (/ (pow x 7) (pow p 6))) (* 1/32 (/ (pow x 3) (pow p 2)))))) p))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow p 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))
(* 1/4 (/ (pow x 2) p))

Outputs
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)))
(* -1/64 (/ (pow x 4) (pow p 3)))
(/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p (*.f64 p p)))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* -1/64 (/ (pow x 4) (pow p 3)))
(/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p (*.f64 p p)))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* (pow x 4) (- (* 1/4 (/ 1 (* p (pow x 2)))) (* 1/64 (/ 1 (pow p 3)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 #s(literal -1/64 binary64) (.f64 p (*.f64 p p)))))
(* -1/64 (/ (pow x 4) (pow p 3)))
(/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p (*.f64 p p)))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 p p)))) (.f64 p (*.f64 p p)))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 p p)))) (.f64 p (*.f64 p p)))
(/ (+ (* -1/64 (pow x 4)) (* 1/4 (* (pow p 2) (pow x 2)))) (pow p 3))
(/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 p p)))) (.f64 p (*.f64 p p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p p)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p p)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 p p)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 p p))) (-.f64 #s(literal 0 binary64) p))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 p p))) (-.f64 #s(literal 0 binary64) p))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/64 (/ (pow x 4) (pow p 2)))) p))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/64 binary64)) (.f64 p p))) (-.f64 #s(literal 0 binary64) p))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (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)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (+.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 p (.f64 p p))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 p (.f64 p (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -256 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (sqrt 1/2) (+ (* -256 (/ (pow p 5) (* (pow x 5) (sqrt 1/2)))) (+ (* -128 (/ (pow p 6) (* (pow x 6) (pow (sqrt 1/2) 3)))) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -256 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2))))) (pow x 3))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) #s(literal 16 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 5 binary64)) #s(literal 256 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 16 (/ (pow p 3) (sqrt 1/2))) (+ (* 128 (/ (pow p 6) (* (pow x 3) (pow (sqrt 1/2) 3)))) (* 256 (/ (pow p 5) (* (pow x 2) (sqrt 1/2)))))) (pow x 3))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) #s(literal 16 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 5 binary64)) #s(literal 256 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 256 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 x (.f64 x x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -16 (/ (pow p 3) (* (pow x 3) (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (* (pow p 3) (- (* -256 (/ (pow p 2) (* (pow x 5) (sqrt 1/2)))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 p (.f64 p p)) (+.f64 (/.f64 (.f64 (.f64 p p) #s(literal -256 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(+ (sqrt 1/2) (* (pow p 3) (- (* (pow p 2) (- (* -128 (/ p (* (pow x 6) (pow (sqrt 1/2) 3)))) (* 256 (/ 1 (* (pow x 5) (sqrt 1/2)))))) (* 16 (/ 1 (* (pow x 3) (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 p (.f64 p p)) (+.f64 (.f64 (.f64 p p) (+.f64 (/.f64 (.f64 #s(literal -256 binary64) (/.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -256 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 p (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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/32 binary64)) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (.f64 p p) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (*.f64 x x) p) (sqrt.f64 #s(literal 1/2 binary64))))) 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)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x))))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))))) p)) p))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/32 binary64)) (.f64 p (*.f64 p 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)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3/512 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 p (*.f64 p p))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 x (*.f64 x x))))
(+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (* -32 (/ (pow p 3) (pow x 3)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 x (.f64 x x))) (/.f64 (.f64 (pow.f64 p #s(literal 5 binary64)) #s(literal -512 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(+ 1/2 (+ (* -512 (/ (pow p 5) (pow x 5))) (+ (* -32 (/ (pow p 3) (pow x 3))) (* -1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 7))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 5 binary64)) #s(literal -512 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 7 binary64)) #s(literal 24576 binary64))) (pow.f64 x #s(literal 7 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 x (*.f64 x x))))
(+ 1/2 (* -1 (/ (- (* 512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3))) (pow x 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 (/.f64 #s(literal -512 binary64) x) (/.f64 (pow.f64 p #s(literal 5 binary64)) x))) (.f64 x (.f64 x x))))
(+ 1/2 (* -1 (/ (- (* 1/2 (/ (+ (* 8192 (pow p 7)) (* 16384 (pow p 7))) (pow x 4))) (+ (* -512 (/ (pow p 5) (pow x 2))) (* -32 (pow p 3)))) (pow x 3))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 7 binary64)) #s(literal 24576 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (/.f64 #s(literal 512 binary64) x) (/.f64 (pow.f64 p #s(literal 5 binary64)) x)) (.f64 p (.f64 (.f64 p p) #s(literal 32 binary64))))) (.f64 x (.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -32 (/ (pow p 3) (pow x 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 p p)) p) (.f64 x (*.f64 x x))))
(+ 1/2 (* (pow p 3) (- (* -512 (/ (pow p 2) (pow x 5))) (* 32 (/ 1 (pow x 3))))))
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1/2
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(/.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x))) (*.f64 p p))) (-.f64 #s(literal 0 binary64) p))
(* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/32 (/ (pow x 3) (pow p 2))))) p))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x))) (.f64 p p)) (+.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) p))
(* -1 (/ (+ (* -1/4 x) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (+ (* 1/2048 (/ (pow x 7) (pow p 6))) (* 1/32 (/ (pow x 3) (pow p 2)))))) p))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x x))) (.f64 p p)) (+.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2048 binary64)) (pow.f64 p #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) p))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(* -1/64 (/ (pow x 2) (pow p 3)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow p 3)
(.f64 p (.f64 p p))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(* 1/4 (/ (pow x 2) p))
(.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x p)))

eval188.0ms (1.5%)

Memory: 3.2MiB live, 304.8MiB allocated
Compiler: Compiled 31 129 to 3 349 computations (89.2% saved)

prune103.0ms (0.8%)

Memory

-22.9MiB live, 235.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 011	0	1 011
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	1 011	9	1 020

Accuracy

100.0%

Counts

1 020 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.1%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
▶	25.4%	(-.f64 #s(literal 0 binary64) (/.f64 p x))
✓	28.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
✓	56.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
✓	56.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	80.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))
▶	51.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
✓	55.8%	(sqrt.f64 #s(literal 1/2 binary64))
✓	38.0%	#s(literal 1 binary64)

Compiler

Compiled 133 to 91 computations (31.6% saved)

simplify1.3s (10.1%)

Memory

20.7MiB live, 1 622.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x))))
✓	cost-diff	128	(.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (*.f64 p p)) #s(literal -12 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	256	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 p x))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) p)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))

Rules

64 238×	`accelerator-lowering-fma.f32`
64 238×	`accelerator-lowering-fma.f64`
7 176×	`-lowering-.f32`
7 176×	`-lowering-.f64`
1 984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	53	120
2	180	108
3	852	102
4	2909	101
5	3868	101
0	8570	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (+ 1/2 (* x (/ 1/4 p))))
(+ 1/2 (* x (/ 1/4 p)))
1/2
(* x (/ 1/4 p))
x
(/ 1/4 p)
1/4
p
(- 0 (/ p x))
0
(/ p x)
p
x
(/ (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))) (- 0 x))
(+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x))))
p
(/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))
(* 1/8 (* (* (* p p) (* p p)) -12))
1/8
(* (* (* p p) (* p p)) -12)
(* (* p p) (* p p))
(* p p)
-12
(* p (* x x))
(* x x)
x
(- 0 x)
0

Outputs
(sqrt (+ 1/2 (* x (/ 1/4 p))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+ 1/2 (* x (/ 1/4 p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
1/2
#s(literal 1/2 binary64)
(* x (/ 1/4 p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
x
(/ 1/4 p)
(/.f64 #s(literal 1/4 binary64) p)
1/4
#s(literal 1/4 binary64)
p
(- 0 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
0
#s(literal 0 binary64)
(/ p x)
(/.f64 p x)
p
x
(/ (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))) (- 0 x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 p (*.f64 p p)) #s(literal 3/2 binary64)) x) x) p) x)
(+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 p p) #s(literal -3/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) p)
p
(/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))
(/.f64 (/.f64 (.f64 (.f64 p (*.f64 p p)) #s(literal -3/2 binary64)) x) x)
(* 1/8 (* (* (* p p) (* p p)) -12))
(.f64 p (.f64 (.f64 p (.f64 p p)) #s(literal -3/2 binary64)))
1/8
#s(literal 1/8 binary64)
(* (* (* p p) (* p p)) -12)
(.f64 p (.f64 p (.f64 p (.f64 p #s(literal -12 binary64)))))
(* (* p p) (* p p))
(.f64 p (.f64 p (*.f64 p p)))
(* p p)
(*.f64 p p)
-12
#s(literal -12 binary64)
(* p (* x x))
(.f64 x (.f64 x p))
(* x x)
(*.f64 x x)
x
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize72.0ms (0.6%)

Memory

-15.8MiB live, 151.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 p p) (*.f64 p p))
✓	accuracy	99.8%	(.f64 p (.f64 x x))
✓	accuracy	97.1%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	76.5%	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 p x))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) p)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
✓	accuracy	97.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))

Samples

32.0ms	197×	0	valid
9.0ms	59×	0	invalid

Compiler

Compiled 145 to 25 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (39.5% of total)

ival-div: 7.0ms (27.6% of total)

ival-sub: 4.0ms (15.8% of total)

ival-add: 2.0ms (7.9% of total)

ival-sqrt: 2.0ms (7.9% of total)

exact: 1.0ms (3.9% of total)

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

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

series22.0ms (0.2%)

Memory

-1.0MiB live, 37.9MiB allocated

Counts

12 → 252

Calls

Call 1

Inputs
#<alt (sqrt (+ 1/2 (* x (/ 1/4 p))))>
#<alt (+ 1/2 (* x (/ 1/4 p)))>
#<alt (* x (/ 1/4 p))>
#<alt (/ 1/4 p)>
#<alt (- 0 (/ p x))>
#<alt (/ p x)>
#<alt (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))>
#<alt (/ (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))) (- 0 x))>
#<alt (* 1/8 (* (* (* p p) (* p p)) -12))>
#<alt (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x))))>
#<alt (* p (* x x))>
#<alt (* (* p p) (* p p))>

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

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt (+ 1/2 (* x (/ 1/4 p))))
2.0ms	x	@	-inf	(sqrt (+ 1/2 (* x (/ 1/4 p))))
2.0ms	x	@	0	(- 0 (/ p x))
1.0ms	p	@	inf	(/ (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))) (- 0 x))
1.0ms	x	@	0	(/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))

rewrite424.0ms (3.4%)

Memory

9.0MiB live, 875.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 608×	`accelerator-lowering-fma.f32`
6 608×	`accelerator-lowering-fma.f64`
6 488×	`-lowering-.f32`
6 488×	`-lowering-.f64`
3 488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	132	83
2	1206	82
0	9818	79

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 808

Calls

Call 1

Inputs
(sqrt (+ 1/2 (* x (/ 1/4 p))))
(+ 1/2 (* x (/ 1/4 p)))
(* x (/ 1/4 p))
(/ 1/4 p)
(- 0 (/ p x))
(/ p x)
(/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))
(/ (+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x)))) (- 0 x))
(* 1/8 (* (* (* p p) (* p p)) -12))
(+ p (/ (* 1/8 (* (* (* p p) (* p p)) -12)) (* p (* x x))))
(* p (* x x))
(* (* p p) (* p p))

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

simplify472.0ms (3.7%)

Memory

-3.2MiB live, 801.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 432×	`accelerator-lowering-fma.f32`
11 432×	`accelerator-lowering-fma.f64`
6 766×	`-lowering-.f32`
6 766×	`-lowering-.f64`
2 128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	2061
1	568	2023
2	1778	1941
3	5960	1938
0	8251	1875

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(* 1/2 (sqrt (/ x p)))
(* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))
(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ x p)))
(/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(* 1/4 (/ x p))
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(* -1 (/ p x))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(* -1 (/ p x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
(* -3/2 (pow p 4))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)
(pow p 4)

Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 (/.f64 (/.f64 x p) p) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (/.f64 (.f64 x (/.f64 #s(literal 1/1024 binary64) (.f64 p (.f64 p p)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p)))))))
(* 1/2 (sqrt (/ x p)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))
(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (*.f64 x x)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))))))
(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(.f64 (sqrt.f64 (/.f64 x p)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 x (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 x (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) #s(literal -1/4 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 x (+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) #s(literal -1/4 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))) (.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))))))
(* 1/2 (sqrt (/ x p)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)
(.f64 (+.f64 (sqrt.f64 (.f64 x p)) (sqrt.f64 (.f64 p (/.f64 (.f64 p p) x)))) (/.f64 #s(literal 1/2 binary64) p))
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x p))) (.f64 (.f64 p p) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p)))) (.f64 (sqrt.f64 (/.f64 p (.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x p))) (.f64 (.f64 p p) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p)))) (.f64 (.f64 p p) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) (.f64 p (.f64 p (.f64 x (.f64 x x))))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 (/.f64 (/.f64 x p) p) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
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(/.f64 (/.f64 (.f64 (.f64 p (*.f64 p p)) #s(literal -3/2 binary64)) x) x)
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(/.f64 (/.f64 (.f64 (.f64 p (*.f64 p p)) #s(literal -3/2 binary64)) x) x)
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(/.f64 (/.f64 (.f64 (.f64 p (*.f64 p p)) #s(literal -3/2 binary64)) x) x)
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (+.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal -3/2 binary64)))) (*.f64 x x))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (+.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal -3/2 binary64)))) (*.f64 x x))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (+.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal -3/2 binary64)))) (*.f64 x x))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))
(pow p 4)
(.f64 p (.f64 p (*.f64 p p)))

eval134.0ms (1.1%)

Memory: -19.5MiB live, 308.4MiB allocated
Compiler: Compiled 26 938 to 2 475 computations (90.8% saved)

prune150.0ms (1.2%)

Memory

25.3MiB live, 261.3MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 056	4	1 060
Fresh	0	0	0
Picked	2	1	3
Done	0	6	6
Total	1 058	11	1 069

Accuracy

100.0%

Counts

1 069 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.7%	(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
▶	50.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))))
✓	28.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
▶	25.4%	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
✓	56.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
✓	56.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	80.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))
✓	51.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
✓	55.8%	(sqrt.f64 #s(literal 1/2 binary64))
▶	25.4%	(neg.f64 (/.f64 p x))
✓	38.0%	#s(literal 1 binary64)

Compiler

Compiled 145 to 102 computations (29.7% saved)

simplify656.0ms (5.2%)

Memory

9.0MiB live, 375.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) x))
✓	cost-diff	0	(.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x)))
✓	cost-diff	0	(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
✓	cost-diff	-64	(neg.f64 (/.f64 p x))
✓	cost-diff	0	(/.f64 p x)

Rules

6 328×	`accelerator-lowering-fma.f32`
6 328×	`accelerator-lowering-fma.f64`
3 000×	`-lowering-.f32`
3 000×	`-lowering-.f64`
1 208×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
1	54	137
2	91	137
3	172	137
4	292	133
5	591	131
6	1342	131
7	2829	131
8	4164	131
9	4804	131
10	5058	131
11	5187	131
12	5215	131
13	5988	131
14	6294	131
15	6322	131
16	6329	131
17	6337	131
18	6341	131
19	6341	131
20	6410	131
21	6452	131
22	6456	131
23	6456	131
24	6592	131
25	6736	131
26	6778	131
27	6796	131
28	6810	131
29	6822	131
30	6822	131
31	6886	131
32	7764	131
33	7776	131
34	7776	131
35	7816	131
0	8048	126

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(neg (/ p x))
(/ p x)
p
x
(* (/ -1 x) p)
(/ -1 x)
-1
x
p
(/ 1 (sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p)))))
1
(sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p))))
(/ 1 (+ 1/2 (/ (* x 1/4) p)))
(+ 1/2 (/ (* x 1/4) p))
1/2
(/ (* x 1/4) p)
(* x 1/4)
x
1/4
p
(/ (* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x))) x)
(* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x)))
p
(+ -1 (/ (* 3/2 (/ (* p p) x)) x))
-1
(/ (* 3/2 (/ (* p p) x)) x)
(* 3/2 (/ (* p p) x))
3/2
(/ (* p p) x)
(* p p)
x

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

localize73.0ms (0.6%)

Memory

-23.4MiB live, 175.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x))
✓	accuracy	97.1%	(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
✓	accuracy	95.3%	(/.f64 (*.f64 p p) x)
✓	accuracy	95.1%	(/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))))
✓	accuracy	97.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(neg.f64 (/.f64 p x))

Samples

32.0ms	197×	0	valid
12.0ms	59×	0	invalid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

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

ival-div: 15.0ms (51.4% of total)

ival-mult: 8.0ms (27.4% of total)

ival-add: 2.0ms (6.9% of total)

ival-sqrt: 2.0ms (6.9% of total)

exact: 1.0ms (3.4% of total)

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

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

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

series19.0ms (0.1%)

Memory

13.8MiB live, 52.9MiB allocated

Counts

14 → 324

Calls

Call 1

Inputs
#<alt (/ p x)>
#<alt (neg (/ p x))>
#<alt (* (/ -1 x) p)>
#<alt (/ -1 x)>
#<alt (/ 1 (sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p)))))>
#<alt (sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p))))>
#<alt (/ 1 (+ 1/2 (/ (* x 1/4) p)))>
#<alt (+ 1/2 (/ (* x 1/4) p))>
#<alt (/ (* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x))) x)>
#<alt (* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x)))>
#<alt (+ -1 (/ (* 3/2 (/ (* p p) x)) x))>
#<alt (/ (* 3/2 (/ (* p p) x)) x)>
#<alt (/ (* p p) x)>
#<alt (* 3/2 (/ (* p p) x))>

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

Calls

81 calls:

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

rewrite344.0ms (2.7%)

Memory

7.9MiB live, 721.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 272×	`accelerator-lowering-fma.f32`
5 272×	`accelerator-lowering-fma.f64`
5 230×	`-lowering-.f32`
5 230×	`-lowering-.f64`
3 846×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	112
1	130	107
2	898	99
0	8568	92

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 756

Calls

Call 1

Inputs
(/ p x)
(neg (/ p x))
(* (/ -1 x) p)
(/ -1 x)
(/ 1 (sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p)))))
(sqrt (/ 1 (+ 1/2 (/ (* x 1/4) p))))
(/ 1 (+ 1/2 (/ (* x 1/4) p)))
(+ 1/2 (/ (* x 1/4) p))
(/ (* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x))) x)
(* p (+ -1 (/ (* 3/2 (/ (* p p) x)) x)))
(+ -1 (/ (* 3/2 (/ (* p p) x)) x))
(/ (* 3/2 (/ (* p p) x)) x)
(/ (* p p) x)
(* 3/2 (/ (* p p) x))

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

simplify441.0ms (3.5%)

Memory

-7.0MiB live, 947.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 546×	`accelerator-lowering-fma.f32`
8 546×	`accelerator-lowering-fma.f64`
6 146×	`-lowering-.f32`
6 146×	`-lowering-.f64`
3 674×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	3499
1	1345	3413
2	4117	3316
0	8583	3189

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(* -1 (/ p x))
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(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* (pow p 2) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(.f64 (.f64 p p) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 p p))))
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(/ (+ (* -1 (pow x 2)) (* 3/2 (pow p 2))) (pow x 2))
(/.f64 (-.f64 (.f64 p (.f64 p #s(literal 3/2 binary64))) (.f64 x x)) (.f64 x x))
(/ (+ (* -1 (pow x 2)) (* 3/2 (pow p 2))) (pow x 2))
(/.f64 (-.f64 (.f64 p (.f64 p #s(literal 3/2 binary64))) (.f64 x x)) (.f64 x x))
(/ (+ (* -1 (pow x 2)) (* 3/2 (pow p 2))) (pow x 2))
(/.f64 (-.f64 (.f64 p (.f64 p #s(literal 3/2 binary64))) (.f64 x x)) (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(- (* 3/2 (/ (pow p 2) (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x))
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(* 3/2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64)) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))
(* 3/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal 3/2 binary64))

eval134.0ms (1.1%)

Memory: 31.7MiB live, 339.9MiB allocated
Compiler: Compiled 22 525 to 2 952 computations (86.9% saved)

prune120.0ms (1%)

Memory

-19.4MiB live, 233.9MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 077	3	1 080
Fresh	0	0	0
Picked	1	3	4
Done	0	7	7
Total	1 078	13	1 091

Accuracy

100.0%

Counts

1 091 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.7%	(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
	50.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 p #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)))
	55.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) p)) x) p))))
	55.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	28.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
✓	25.4%	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
✓	56.6%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
✓	56.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
✓	80.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))
✓	51.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
✓	55.8%	(sqrt.f64 #s(literal 1/2 binary64))
✓	25.4%	(neg.f64 (/.f64 p x))
✓	38.0%	#s(literal 1 binary64)

Compiler

Compiled 369 to 214 computations (42% saved)

regimes39.0ms (0.3%)

Memory

-3.3MiB live, 73.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 (/.f64 p x))
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 p #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) p)) x) p))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))
(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 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) (.f64 x x))))))

Outputs

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

Calls

7 calls:

8.0ms	x
7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
5.0ms	p
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
80.1%	1	`p`
80.1%	1	`x`
100.0%	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)))))))`
100.0%	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))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
80.1%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes14.0ms (0.1%)

Memory

-22.6MiB live, 20.0MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 (/.f64 p x))
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 p p) x)) x))) x)
(/.f64 (+.f64 p (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 p #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) p)) x) p))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))

Outputs

#s(literal 1 binary64)

(neg.f64 (/.f64 p x))

(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 p #s(literal 2 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/64 binary64)) (*.f64 p (*.f64 p p)))))))))

Calls

2 calls:

5.0ms	x
5.0ms	p

Results

Accuracy	Segments	Branch
66.5%	2	`x`
75.7%	3	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

#s(literal 1 binary64)

(neg.f64 (/.f64 p x))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`p`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.0%	3	`p`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	p

Results

Accuracy	Segments	Branch
55.8%	2	`x`
41.6%	3	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-33.1MiB live, 5.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

4.0ms	p
1.0ms	x

Results

Accuracy	Segments	Branch
38.0%	1	`p`
38.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999965006	-0.02314321539968924

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch51.0ms (0.4%)

Memory

9.1MiB live, 84.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.4048230323393937e-11	5.192625540831375e-9
27.0ms	3.5345146939358827e-82	1.235906319957279e-67

Samples

16.0ms	180×	0	valid
10.0ms	44×	2	valid
7.0ms	48×	1	valid

Compiler

Compiled 412 to 291 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.2% of total)

ival-sqrt: 5.0ms (21.8% of total)

ival-add: 4.0ms (17.4% of total)

ival-div: 3.0ms (13.1% of total)

adjust: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch51.0ms (0.4%)

Memory

27.4MiB live, 71.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.4048230323393937e-11	5.192625540831375e-9
30.0ms	3.5345146939358827e-82	1.235906319957279e-67

Samples

18.0ms	174×	0	valid
11.0ms	51×	2	valid
7.0ms	47×	1	valid

Compiler

Compiled 328 to 249 computations (24.1% saved)

Precisions

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

ival-mult: 9.0ms (37.5% of total)

ival-sqrt: 6.0ms (25% of total)

ival-add: 4.0ms (16.7% of total)

ival-div: 3.0ms (12.5% of total)

adjust: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (0.4%)

Memory

-11.2MiB live, 63.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.4048230323393937e-11	5.192625540831375e-9
30.0ms	3.5345146939358827e-82	1.235906319957279e-67

Samples

13.0ms	61×	2	valid
12.0ms	51×	1	valid
12.0ms	160×	0	valid

Compiler

Compiled 216 to 179 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 10.0ms (33.5% of total)

ival-mult: 9.0ms (30.1% of total)

ival-add: 4.0ms (13.4% of total)

ival-div: 3.0ms (10% of total)

adjust: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Memory

14.3MiB live, 52.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-6.508511662242956e-147	6.46522262903918e-138

Samples

17.0ms	222×	0	valid
3.0ms	18×	1	valid

Compiler

Compiled 187 to 154 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (42% of total)

ival-sqrt: 3.0ms (21% of total)

ival-div: 2.0ms (14% of total)

ival-add: 2.0ms (14% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

simplify16.0ms (0.1%)

Memory

-29.6MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
22×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	146
1	100	146
2	106	146
3	111	146
4	113	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) 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))))))))
(if (<=.f64 p #s(literal 5475552704387099/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7350268983256945/77371252455336267181195264 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))))
(if (<=.f64 p #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 4332790137498831/154742504910672534362390528 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))))
(if (<=.f64 p #s(literal 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7737125245533627/309485009821345068724781056 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 binary64)) (neg.f64 (/.f64 p x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) 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))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 p p) x)) x))) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 1 binary64)))))
(if (<=.f64 p #s(literal 5475552704387099/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7350268983256945/77371252455336267181195264 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))))
(if (<=.f64 p #s(literal 5475552704387099/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7350268983256945/77371252455336267181195264 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (.f64 p (.f64 p p)))))))))))
(if (<=.f64 p #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 4332790137498831/154742504910672534362390528 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))))
(if (<=.f64 p #s(literal 8714827106557313/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 4332790137498831/154742504910672534362390528 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 p x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 p #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/4 binary64) p)))))))))
(if (<=.f64 p #s(literal 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7737125245533627/309485009821345068724781056 binary64)) (neg.f64 (/.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 p #s(literal 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7737125245533627/309485009821345068724781056 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 binary64)) (neg.f64 (/.f64 p x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 p x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.7s (13.6%)

Memory

30.5MiB live, 1 942.2MiB allocated

Rules

12 750×	`accelerator-lowering-fma.f32`
12 750×	`accelerator-lowering-fma.f64`
11 432×	`accelerator-lowering-fma.f32`
11 432×	`accelerator-lowering-fma.f64`
6 766×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	132	83
2	1206	82
0	9818	79
0	381	2162
1	1114	2111
2	3664	2048
0	8026	1900
0	219	2061
1	568	2023
2	1778	1941
3	5960	1938
0	8251	1875
0	14	17
1	29	17
2	36	17
3	38	17
4	39	17
0	39	15

Stop Event

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

Compiler

Compiled 524 to 332 computations (36.6% saved)

preprocess88.0ms (0.7%)

Memory: -10.3MiB live, 162.2MiB allocated
Compiler: Compiled 472 to 248 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	295
1	83	295
2	196	295
3	449	295
4	807	285
5	860	285
6	874	285
7	878	285
8	881	285
0	881	266

Iter	Nodes	Cost
0	32	295
1	83	295
2	196	295
3	449	295
4	807	285
5	860	285
6	874	285
7	878	285
8	881	285
0	881	266

analyze483.0ms (3.8%)

sample2.4s (18.7%)

preprocess68.0ms (0.5%)

explain247.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize148.0ms (1.2%)

series21.0ms (0.2%)

rewrite333.0ms (2.6%)

simplify476.0ms (3.8%)

eval63.0ms (0.5%)

prune53.0ms (0.4%)

simplify53.0ms (0.4%)

localize137.0ms (1.1%)

series38.0ms (0.3%)

rewrite535.0ms (4.2%)

simplify863.0ms (6.9%)

eval188.0ms (1.5%)

prune103.0ms (0.8%)

simplify1.3s (10.1%)

localize72.0ms (0.6%)

series22.0ms (0.2%)

rewrite424.0ms (3.4%)

simplify472.0ms (3.7%)

eval134.0ms (1.1%)

prune150.0ms (1.2%)

simplify656.0ms (5.2%)

localize73.0ms (0.6%)

series19.0ms (0.1%)

rewrite344.0ms (2.7%)

simplify441.0ms (3.5%)

eval134.0ms (1.1%)

prune120.0ms (1%)

regimes39.0ms (0.3%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch51.0ms (0.4%)

bsearch51.0ms (0.4%)

bsearch56.0ms (0.4%)

bsearch36.0ms (0.3%)

simplify16.0ms (0.1%)

soundness1.7s (13.6%)

preprocess88.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	295
1	83	295
2	196	295
3	449	295
4	807	285
5	860	285
6	874	285
7	878	285
8	881	285
0	881	266