Metrics for 1/2(abs(p)+abs(r) - sqrt((p-r)^2 + 4q^2))

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.4s (24.2%)

Memory

67.7MiB live, 3 642.9MiB allocated

Samples

879.0ms	3 187×	1	valid
739.0ms	2 134×	2	valid
342.0ms	2 935×	0	valid

Precisions

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

ival-pow2: 274.0ms (19.5% of total)

adjust: 272.0ms (19.3% of total)

ival-mult: 214.0ms (15.2% of total)

ival-add: 161.0ms (11.4% of total)

ival-sub: 145.0ms (10.3% of total)

ival-sqrt: 143.0ms (10.2% of total)

ival-fabs: 91.0ms (6.5% of total)

ival-div: 85.0ms (6% of total)

exact: 13.0ms (0.9% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

explain534.0ms (5.3%)

Memory

-6.2MiB live, 544.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
142	-	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
133	-	-	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	-	-	`q`
0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	-	`(-.f64 p r)`
0	-	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	-	`(fabs.f64 p)`
0	-	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`p`
0	-	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	-	`(fabs.f64 r)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`r`
0	-	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	137	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	137
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	47
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	106
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	47
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	133	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	5	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	5
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	62
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	11
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	62

Confusion

	Predicted +	Predicted -
+	207	0
-	0	49

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	207	0	0
-	0	0	49

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	49
1	139
2	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

124.0ms	202×	1	valid
47.0ms	144×	2	valid
21.0ms	166×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sub: 86.0ms (54.8% of total)

ival-pow2: 18.0ms (11.5% of total)

adjust: 15.0ms (9.6% of total)

ival-mult: 10.0ms (6.4% of total)

ival-add: 9.0ms (5.7% of total)

ival-sqrt: 8.0ms (5.1% of total)

ival-fabs: 5.0ms (3.2% of total)

ival-div: 3.0ms (1.9% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

preprocess233.0ms (2.3%)

Memory

-0.4MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	1440	180
4	3448	180
5	5328	180
6	7340	180
0	18	20
0	31	20
1	45	20
2	80	20
3	170	20
4	345	20
5	791	20
6	1603	20
7	3084	20
8	3825	20
9	4113	20
10	4203	20
11	4207	20
12	4207	20
13	4337	20
14	4361	20
15	4361	20
0	4361	19

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

23.6%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify178.0ms (1.8%)

Memory

15.3MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
cost-diff	128	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 q #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	45	93
2	80	93
3	170	93
4	345	93
5	791	93
6	1603	93
7	3084	93
8	3825	93
9	4113	93
10	4203	93
11	4207	93
12	4207	93
13	4337	93
14	4361	93
15	4361	93
0	4361	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
(.f64 (.f64 q q) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
(*.f64 q q)
q

localize127.0ms (1.3%)

Memory

-20.4MiB live, 173.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	30.737943990391383	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	32.90605445410087	(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))

Samples

66.0ms	72×	2	valid
24.0ms	101×	1	valid
16.0ms	83×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-fabs: 43.0ms (48.6% of total)

ival-pow2: 14.0ms (15.8% of total)

adjust: 8.0ms (9% of total)

ival-add: 8.0ms (9% of total)

ival-sub: 5.0ms (5.7% of total)

ival-mult: 5.0ms (5.7% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-div: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

20.3MiB live, 54.5MiB allocated

Counts

8 → 129

Calls

Call 1

Inputs
(pow.f64 q #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))

Outputs
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 2))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(+ (* 4 (pow q 2)) (pow p 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 2))
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(pow q 2)
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 2))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(* 4 (pow q 2))
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	q	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
3.0ms	r	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
3.0ms	p	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	q	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	p	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))

simplify202.0ms (2%)

Memory

-47.1MiB live, 232.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3263
1	1907	3082
2	6170	3054
0	8467	2844

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 126

Calls

Call 1

Inputs
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 2))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(+ (* 4 (pow q 2)) (pow p 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 2))
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(pow q 2)
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 2))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(* 4 (pow q 2))
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))

Outputs
(+ (* 4 (pow q 2)) (pow r 2))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (.f64 (.f64 q q) #s(literal 4 binary64)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)))) (.f64 (.f64 p (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r p)) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(fma.f64 (.f64 (neg.f64 r) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal 1/2 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)) (neg.f64 r))) p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal 1/2 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)) (neg.f64 r)) (.f64 (.f64 p (.f64 (.f64 (.f64 #s(literal 1/2 binary64) r) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))))) p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/2 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 r p)) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))) p (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(pow r 2)
(*.f64 r r)
(+ (* -2 (* p r)) (pow r 2))
(*.f64 (fma.f64 #s(literal -2 binary64) p r) r)
(+ (* p (+ p (* -2 r))) (pow r 2))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 p p))
(pow p 2)
(*.f64 p p)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) p) p)
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (.f64 q q) p) (.f64 (/.f64 r p) (/.f64 r p))) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 p p))
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(*.f64 (fma.f64 (neg.f64 (/.f64 q p)) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(.f64 (fma.f64 (neg.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64)))) (.f64 q q) (fma.f64 (neg.f64 (/.f64 q p)) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) p)
p
(* p (+ 1 (* -1 (/ r p))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r p)) p)
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p)
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 q q))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p)
(* -1 p)
(neg.f64 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p)
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (.f64 q q) p) (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) p)
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 q q)) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (.f64 q q) p) (-.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (-.f64 #s(literal 1 binary64) (/.f64 r p))))) p)
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(.f64 (fma.f64 (/.f64 r p) (/.f64 r p) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 p p))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) (neg.f64 p))) p)) (.f64 p p))
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (fma.f64 r (/.f64 (.f64 q q) p) (*.f64 q q)) p)) p)))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p)
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 r (/.f64 (.f64 q q) p) (.f64 q q)) p) r) p) p (neg.f64 p))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(*.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 q q) p) #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) p)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 r (/.f64 (.f64 q q) p) (*.f64 q q)) p) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) p)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 r) (/.f64 r p) (.f64 #s(literal 2 binary64) r)) p)) (*.f64 p p))
(+ (* 4 (pow q 2)) (pow p 2))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (.f64 (.f64 q q) #s(literal 4 binary64)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
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(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
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(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) q)
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(*.f64 (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q)) q)
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q))) q)
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 p) q)))) q)
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))) q)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -2 binary64)) q)
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) q)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal -1/4 binary64))) q)) q)) (neg.f64 q))

rewrite186.0ms (1.8%)

Memory

43.7MiB live, 262.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	31	75
1	109	75
2	796	75
0	8636	71

Stop Event

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

Counts

8 → 369

Calls

Call 1

Inputs
(pow.f64 q #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))

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

eval73.0ms (0.7%)

Memory: 0.6MiB live, 121.6MiB allocated
Compiler: Compiled 21 469 to 2 397 computations (88.8% saved)

prune39.0ms (0.4%)

Memory

-3.7MiB live, 76.4MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	464	29	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	465	29	494

Accuracy

61.5%

Counts

494 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.7%	(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
▶	21.9%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
	16.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	16.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	16.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
	21.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	23.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	19.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p))))
	30.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))))
	22.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	16.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
▶	18.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	20.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	6.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	31.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 434 to 1 482 computations (39.1% saved)

simplify211.0ms (2.1%)

Memory

17.4MiB live, 239.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
cost-diff	0	(.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(neg.f64 p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
cost-diff	1024	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
cost-diff	0	(neg.f64 q)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	487
0	85	483
1	159	483
2	340	483
3	997	483
4	3379	475
0	8164	475

Stop Event

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

Calls

Call 1

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

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

localize416.0ms (4.1%)

Memory

-6.5MiB live, 550.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
accuracy	15.345237611053625	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	32.90605445410087	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	39.98308792890894	(-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	20.55144238525844	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	21.00327196994491	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	27.10487147576495	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	27.125493115321973	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	1.6570760247271932	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
accuracy	12.487881866857132	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy	29.085905512622894	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	32.987321335272036	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
accuracy	0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.1404707155972	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0	(neg.f64 q)
accuracy	43.893038132050194	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

171.0ms	97×	2	valid
149.0ms	153×	1	valid
15.0ms	1×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 956 to 107 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 77.0ms (33.4% of total)

adjust: 48.0ms (20.8% of total)

ival-add: 42.0ms (18.2% of total)

ival-pow2: 17.0ms (7.4% of total)

ival-sqrt: 15.0ms (6.5% of total)

ival-sub: 13.0ms (5.6% of total)

ival-div: 12.0ms (5.2% of total)

ival-fabs: 2.0ms (0.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series87.0ms (0.9%)

Memory

7.7MiB live, 204.2MiB allocated

Counts

21 → 290

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) (pow (+ (fabs r) (fabs p)) 2) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))))
13.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) (pow (+ (fabs r) (fabs p)) 2) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))))
11.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) (pow (+ (fabs r) (fabs p)) 2) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))))
9.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) (pow (+ (fabs r) (fabs p)) 2) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))))
8.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) (pow (+ (fabs r) (fabs p)) 2) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))))

simplify211.0ms (2.1%)

Memory

-7.0MiB live, 342.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1499	10896
1	4715	10496
0	8626	9853

Stop Event

1×	iter limit
1×	node limit

Counts

290 → 287

Calls

Call 1

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

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

rewrite215.0ms (2.1%)

Memory

9.3MiB live, 366.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	385
0	85	381
1	369	358
2	2867	358
0	8515	358

Stop Event

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

Counts

21 → 592

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(*.f64 #s(literal -1 binary64) q)
(*.f64 q #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q))) (neg.f64 (+.f64 #s(literal 0 binary64) q)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q))))
(neg.f64 q)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) q)) (/.f64 (*.f64 q q) (+.f64 #s(literal 0 binary64) q)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 q q (.f64 #s(literal 0 binary64) q)))) (/.f64 (pow.f64 q #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 q q (.f64 #s(literal 0 binary64) q)))))
(-.f64 #s(literal 0 binary64) q)
(+.f64 #s(literal 0 binary64) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p)
(.f64 (.f64 (neg.f64 p) (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) p))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 p (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (neg.f64 p))) (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 p))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (neg.f64 p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 p)) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p)))
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(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (+.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) #s(literal 2 binary64)) (-.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 p))))
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 6 binary64)) (fma.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 p))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (fabs.f64 p) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)))
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))

eval246.0ms (2.4%)

Memory: -6.8MiB live, 363.5MiB allocated
Compiler: Compiled 57 883 to 4 381 computations (92.4% saved)

prune69.0ms (0.7%)

Memory

20.9MiB live, 218.4MiB allocated

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	854	24	878
Fresh	12	12	24
Picked	3	2	5
Done	0	0	0
Total	869	38	907

Accuracy

84.5%

Counts

907 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.7%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	9.6%	(/.f64 (.f64 #s(approx (- (pow (+ (fabs r) (fabs p)) 2) (+ ( 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (.f64 p p)) (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (.f64 q q) p) (.f64 (/.f64 r p) (/.f64 r p))) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)))) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
▶	44.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	16.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
▶	23.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	22.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	16.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	13.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
	27.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
▶	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
	23.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
▶	16.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	17.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1 binary64) p)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	10.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 p p)) (+.f64 #s(literal 0 binary64) p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	20.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	27.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	13.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	30.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	9.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	6.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	15.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) p (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r))) r)))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
	36.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 4 035 to 2 473 computations (38.7% saved)

simplify146.0ms (1.4%)

Memory

-12.8MiB live, 217.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
cost-diff	0	(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	128	(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
cost-diff	0	(+.f64 (fabs.f64 p) (fabs.f64 r))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
cost-diff	0	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff	0	(*.f64 q q)
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 q q))
cost-diff	0	#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
cost-diff	0	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	620
0	118	609
1	197	609
2	355	609
3	840	609
4	2288	607
5	7564	607
0	8310	600

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
(.f64 #s(literal -2 binary64) (.f64 q q))
#s(literal -2 binary64)
(*.f64 q q)
q
(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
p
r
#s(literal 2 binary64)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
r
p
(fabs.f64 p)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
(fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))
(-.f64 p r)
(.f64 #s(literal 4 binary64) (.f64 q q))
#s(literal 4 binary64)
(*.f64 q q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/16 binary64) q)
#s(literal -1/16 binary64)
q
(/.f64 (*.f64 p p) q)
(*.f64 p p)
p
#s(literal 1/2 binary64)
(neg.f64 q)
(*.f64 r p)
r
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)

Outputs
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 q q))
(.f64 (.f64 q q) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 q q)
q
(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
p
r
#s(literal 2 binary64)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 r)
(fabs.f64 p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r)))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
(fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
r
p
(fabs.f64 p)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(-.f64 p r)
(.f64 #s(literal 4 binary64) (.f64 q q))
(.f64 (.f64 q q) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 q q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 p r) #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) q) q) (.f64 p p) #s(literal -1/2 binary64)) q)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 p r) #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) q) q) (.f64 p p) #s(literal -1/2 binary64)) q)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
(fma.f64 (.f64 p r) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) q) q) (.f64 p p) #s(literal -1/2 binary64)) q)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) q) q) (*.f64 p p) #s(literal -1/2 binary64)) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) q) q) (*.f64 p p) #s(literal -1/2 binary64)) q)
(fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 #s(literal -1/16 binary64) q) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/16 binary64) q)
#s(literal -1/16 binary64)
q
(/.f64 (*.f64 p p) q)
(*.f64 p p)
p
#s(literal 1/2 binary64)
(neg.f64 q)
(*.f64 r p)
(*.f64 p r)
r
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)

localize462.0ms (4.6%)

Memory

-9.2MiB live, 753.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	20.55144238525844	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	21.00327196994491	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	27.10487147576495	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	62.01310480812818	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
accuracy	0.00390625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 q q))
accuracy	30.737943990391383	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
accuracy	32.90605445410087	(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
accuracy	3.49416037042508	(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
accuracy	13.352386377886283	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	30.175005023799642	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	32.987321335272036	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
accuracy	0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.377727397829325	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy	0.015625	(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
accuracy	15.345237611053625	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	17.557016332370715	#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
accuracy	32.90605445410087	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))

Samples

153.0ms	107×	2	valid
132.0ms	138×	1	valid
6.0ms	5×	3	valid
2.0ms	6×	0	valid

Compiler

Compiled 1 172 to 143 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-add: 47.0ms (20% of total)

ival-mult: 46.0ms (19.5% of total)

adjust: 44.0ms (18.7% of total)

ival-pow2: 36.0ms (15.3% of total)

ival-div: 24.0ms (10.2% of total)

ival-sqrt: 20.0ms (8.5% of total)

ival-sub: 12.0ms (5.1% of total)

ival-fabs: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series59.0ms (0.6%)

Memory

28.3MiB live, 67.0MiB allocated

Counts

26 → 308

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
(.f64 #s(literal -2 binary64) (.f64 q q))
(*.f64 q q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
(.f64 #s(literal 4 binary64) (.f64 q q))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))

Outputs
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* 1/2 (* p (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* -1/2 (* p (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (/ (* r (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* (/ (* r (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1/2 (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p r))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p (+ r (* -1/2 p))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(/ (+ (fabs p) (fabs r)) r)
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
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p
(* p (+ 1 (* -1 (/ r p))))
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(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2))))) p)) (* 1/2 (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) p)) 1/2)))
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(* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
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(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
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(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
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(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (* p r))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (* r (+ p (* -1/2 r))))
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(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
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(/ (+ p (+ (fabs p) (fabs r))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
(* r (- (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2))
(* r (- (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2)))) 1/2))
(* r (- (+ (* -1/2 (/ (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))))) (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2)))))))) (pow r 3))) (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2))))) 1/2))
(* -1/2 (pow r 2))
(* (pow r 2) (- (/ p r) 1/2))
(* (pow r 2) (- (+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (pow r 2))) (/ p r)) 1/2))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2))))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))) (* 1/2 (/ (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) (* (+ p (+ (fabs p) (fabs r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))))) r))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(* (pow r 2) (- (* -1 (/ (+ (* -1 p) (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) r))) r)) 1/2))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* -1 (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* -1/2 (* (pow q 2) (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))))) (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (+ (* 2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (pow (- p r) 3) (- (+ p (+ (fabs p) (fabs r))) r)))) (* 4 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 5) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))) (* -1/2 (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))))))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)))
(+ (* -2 (pow q 2)) (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))))
(* -2 (pow q 2))
(pow q 2)
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(/ (+ (* -1/2 (pow q 2)) (* 1/16 (pow p 2))) (pow q 3))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)
(* 4 (pow q 2))
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2)))) 1))
(* q (- (+ (* -1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) (pow q 3))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2))))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (pow q 2))) 2))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(/ (- (* 1/16 (/ (pow p 2) (pow q 2))) 1/2) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))) (* 1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) q))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	r	@	-inf	((/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
4.0ms	p	@	0	((/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
3.0ms	p	@	inf	((/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
3.0ms	r	@	0	((/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
3.0ms	r	@	inf	((/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))

simplify251.0ms (2.5%)

Memory

14.1MiB live, 446.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1603	11576
1	5075	11136
0	8193	10473

Stop Event

1×	iter limit
1×	node limit

Counts

308 → 305

Calls

Call 1

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

Outputs
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
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(+ (* 1/2 (* p (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
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(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* -1/2 (* p (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
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(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (/ (* r (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* (/ (* r (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1/2 (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))))
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#s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) (fabs.f64 p)))) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) (fabs.f64 p))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (/.f64 r (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) (fabs.f64 p))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 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(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
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(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 (.f64 p p) #s(literal -1/4 binary64))) q) #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64))) r (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/64 binary64))) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 (*.f64 p p) #s(literal -1/4 binary64))))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 (.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64))) q) (/.f64 r q) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) r) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (/.f64 #s(literal -1/64 binary64) q) (.f64 #s(literal 1/4 binary64) (.f64 p p))))) q)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite212.0ms (2.1%)

Memory

-26.1MiB live, 217.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	493
0	118	484
1	477	480
2	3328	480
0	9118	480

Stop Event

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

Counts

26 → 583

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
(.f64 #s(literal -2 binary64) (.f64 q q))
(*.f64 q q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
(.f64 #s(literal 4 binary64) (.f64 q q))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))

Outputs
(.f64 (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (-.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(.f64 (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 (neg.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
(/.f64 (.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))) (neg.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))))))
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eval134.0ms (1.3%)

Memory: 11.9MiB live, 201.9MiB allocated
Compiler: Compiled 61 071 to 4 518 computations (92.6% saved)

prune55.0ms (0.5%)

Memory

3.6MiB live, 128.1MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	873	18	891
Fresh	14	17	31
Picked	4	1	5
Done	0	2	2
Total	891	38	929

Accuracy

95.5%

Counts

929 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.7%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	9.6%	(/.f64 (.f64 #s(approx (- (pow (+ (fabs r) (fabs p)) 2) (+ ( 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (.f64 p p)) (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (.f64 q q) p) (.f64 (/.f64 r p) (/.f64 r p))) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)))) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	44.5%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	43.1%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
▶	37.3%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	33.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) p) #s(literal -2 binary64) r) p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	37.9%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	40.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	40.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	23.5%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) #s(approx (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))))
	44.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))))
▶	44.5%	(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	23.0%	(.f64 (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
▶	16.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	23.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	30.7%	#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	2.9%	#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
	27.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	20.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	7.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	30.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	6.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	12.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
	36.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 4 051 to 2 380 computations (41.2% saved)

simplify137.0ms (1.4%)

Memory

-15.8MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 r r (*.f64 (neg.f64 p) p))
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
cost-diff	448	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 q q))
cost-diff	0	#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
cost-diff	0	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)
cost-diff	0	#s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))
cost-diff	0	(neg.f64 p)
cost-diff	0	(.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(+.f64 (fabs.f64 p) (fabs.f64 r))
cost-diff	0	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	582
0	116	580
1	206	576
2	383	574
3	944	574
4	2938	558
5	7868	558
0	8009	554

Stop Event

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

Calls

Call 1

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

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

localize398.0ms (3.9%)

Memory

-0.4MiB live, 495.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
accuracy	1.7538869832389217	(fma.f64 r r (*.f64 (neg.f64 p) p))
accuracy	32.90605445410087	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	45.11170397097546	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
accuracy	6.337816379209848	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)
accuracy	15.345237611053625	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	17.557016332370715	#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))
accuracy	18.207773918879667	#s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))
accuracy	0	(neg.f64 p)
accuracy	1.6570760247271932	(.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))))
accuracy	32.74424986504301	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
accuracy	53.35336614435406	#s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	59.92910399776926	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
accuracy	0.0234375	(pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64))
accuracy	15.427268861053625	(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
accuracy	17.557016332370715	#s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))
accuracy	32.90605445410087	(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))

Samples

169.0ms	153×	1	valid
127.0ms	97×	2	valid
2.0ms	4×	0	valid
1.0ms	1×	5	exit
1.0ms	1×	3	valid

Compiler

Compiled 1 124 to 141 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

adjust: 67.0ms (28.8% of total)

ival-mult: 62.0ms (26.6% of total)

ival-add: 31.0ms (13.3% of total)

ival-div: 18.0ms (7.7% of total)

ival-sub: 15.0ms (6.4% of total)

ival-pow2: 14.0ms (6% of total)

ival-sqrt: 12.0ms (5.2% of total)

ival-pow: 6.0ms (2.6% of total)

ival-neg: 4.0ms (1.7% of total)

ival-fabs: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series93.0ms (0.9%)

Memory

-3.3MiB live, 69.9MiB allocated

Counts

22 → 273

Calls

Call 1

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

Outputs
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* 1/2 (* p (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* -1/2 (* p (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (/ (* r (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* (/ (* r (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1/2 (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))))
(/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* (/ (* p r) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* p (- (* -1 (* p (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* p (- (* p (- (* -1 (* p (+ (* 1/2 (* (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
(+ (fabs p) (fabs r))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
r
(+ r (* -1 p))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p r))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p (+ r (* -1/2 p))))
(- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* -1 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(pow r 2)
(+ (* -1 (pow p 2)) (pow r 2))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2))
(* p (- (+ (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))))) (pow p 2)))) 1/2))
(* p (- (+ (* -1/2 (/ (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))))) (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2)))))))) (pow p 3))) (+ (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))))) (pow p 2))))) 1/2))
(/ 1 p)
(/ (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) p)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2)) (* 2 (pow q 2))) (pow p 2)))) (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))) p)
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs p) (+ (fabs r) (* -1 r))))) (+ (* -1 (* (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2)) (* 2 (pow q 2))))) (* 2 (* (pow q 2) r)))) (pow p 3)))) (+ (* -1 (/ r p)) (+ (* -1 (/ (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2) (pow p 2))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) p)
p
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* p (- (/ r p) 1))
(* -1/2 (pow p 2))
(* (pow p 2) (- (/ r p) 1/2))
(* (pow p 2) (- (+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (pow p 2))) (/ r p)) 1/2))
(* -1 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (* -1/2 (/ (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2))))) p)) (* 1/2 (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2)))))) (* 1/2 (/ (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) (* (+ r (+ (fabs p) (fabs r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2)))))))) p))) p)) (* 1/2 (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) p)) 1/2)))
(/ -1 p)
(* -1 (/ (+ 1 (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) p))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ r (+ (fabs p) (fabs r))) 2) p)) (* 2 (/ (pow q 2) p))) (+ r (+ (fabs p) (fabs r)))) p))) p))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 2) r) p)) (+ (* -2 (/ (* (pow q 2) (+ r (+ (fabs p) (fabs r)))) p)) (* -1 (/ (* (+ r (+ (fabs p) (fabs r))) (+ (* -1 (pow (+ r (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) p)))) (+ (* -1 (pow (+ r (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) p)) (+ r (+ (fabs p) (fabs r)))) p))) p))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* (pow p 2) (- (* -1 (/ (+ (* -1 r) (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) p))) p)) 1/2))
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
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(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
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(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
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(/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
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(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
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(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
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(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))))
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(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
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(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
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(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
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(* -1/2 r)
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(* r (- (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2)))) 1/2))
(* r (- (+ (* -1/2 (/ (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))))) (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2)))))))) (pow r 3))) (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2))))) 1/2))
(/ 1 r)
(/ (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) r)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2)) (* 2 (pow q 2))) (pow r 2)))) (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))) r)
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs p) (+ (fabs r) (* -1 p))))) (+ (* -1 (* (+ (fabs p) (+ (fabs r) (* -1 p))) (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))) (pow r 3)))) (+ (* -1 (/ p r)) (+ (* -1 (/ (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2) (pow r 2))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) r)
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
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(* r (+ 1 (* -1 (/ p r))))
(* -1/2 (pow r 2))
(* (pow r 2) (- (/ p r) 1/2))
(* (pow r 2) (- (+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (pow r 2))) (/ p r)) 1/2))
(/ (pow r 2) (- (fabs r) (fabs p)))
(* (pow r 2) (- (/ 1 (- (fabs r) (fabs p))) (/ 1 r)))
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* (pow r 2) (- (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p))))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p))))
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r))))
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r))))
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r))))
(* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (pow r 2)))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2))))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))) (* 1/2 (/ (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) (* (+ p (+ (fabs p) (fabs r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))))) r))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(/ -1 r)
(* -1 (/ (+ 1 (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) r))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ p (+ (fabs p) (fabs r))) 2) r)) (* 2 (/ (pow q 2) r))) (+ p (+ (fabs p) (fabs r)))) r))) r))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* p (pow q 2)) r)) (+ (* -2 (/ (* (pow q 2) (+ p (+ (fabs p) (fabs r)))) r)) (* -1 (/ (* (+ p (+ (fabs p) (fabs r))) (+ (* -1 (pow (+ p (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) r)))) (+ (* -1 (pow (+ p (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) r)) (+ p (+ (fabs p) (fabs r)))) r))) r))
(* -1 r)
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (- (/ p r) 1)))
(* (pow r 2) (- (* -1 (/ (+ (* -1 p) (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) r))) r)) 1/2))
(* (pow r 2) (+ (/ 1 r) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 2 (/ (pow q 2) r))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* -1/2 (* (pow q 2) (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))))) (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (+ (* 2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (pow (- p r) 3) (- (+ p (+ (fabs p) (fabs r))) r)))) (* 4 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 5) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))) (* -1/2 (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))))))
(/ 1 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* -2 (/ (pow q 2) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 4) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 5) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))) (+ (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3))))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)))
(+ (* -2 (pow q 2)) (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))))
(* -2 (pow q 2))
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2)))) 1))
(* q (- (+ (* -1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) (pow q 3))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2))))) 1))
(/ 1/2 q)
(/ (+ 1/2 (* -1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))) (pow q 2)))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))))) (* -1/32 (* (+ (fabs p) (fabs r)) (pow (- p r) 2)))) (pow q 3)))) (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) (pow q 2))) (+ (* 1/16 (/ (pow (- p r) 2) (pow q 2))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))))) q)
(* 2 q)
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (pow q 2))) 2))
(* -2 q)
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))) (* 1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) q))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (+ (fabs p) (fabs r)) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	p	@	-inf	((* (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2)) (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- 1 (/ p r)) r) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))
6.0ms	p	@	0	((* (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2)) (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- 1 (/ p r)) r) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))
5.0ms	r	@	0	((* (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2)) (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- 1 (/ p r)) r) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))
4.0ms	p	@	inf	((* (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2)) (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- 1 (/ p r)) r) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))
4.0ms	r	@	-inf	((* (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2)) (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) -1) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (- 1 (/ p r)) r) (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (* -2 (* q q)) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (* r r) (* (neg p) p)) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))) (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))

simplify253.0ms (2.5%)

Memory

7.5MiB live, 249.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1523	12832
1	4932	12359
0	8291	11690

Stop Event

1×	iter limit
1×	node limit

Counts

273 → 270

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* 1/2 (* p (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* -1/2 (* p (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (/ (* r (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* (/ (* r (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1/2 (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))))
(/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* (/ (* p r) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* p (- (* -1 (* p (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* p (- (* p (- (* -1 (* p (+ (* 1/2 (* (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (/ (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* (/ (* r (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (+ (* -1 (/ (pow r 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 3) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (* (/ (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* -1 (* (/ r (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
(+ (fabs p) (fabs r))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
r
(+ r (* -1 p))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p r))
(+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (* p (+ r (* -1/2 p))))
(- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* -1 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/2 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(pow r 2)
(+ (* -1 (pow p 2)) (pow r 2))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2))
(* p (- (+ (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))))) (pow p 2)))) 1/2))
(* p (- (+ (* -1/2 (/ (+ (* -2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))))) (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2)))))))) (pow p 3))) (+ (* 1/2 (/ (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 r))) (- (* 2 r) (* -1 (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))))) (pow p 2))))) 1/2))
(/ 1 p)
(/ (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) p)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2)) (* 2 (pow q 2))) (pow p 2)))) (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))) p)
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs p) (+ (fabs r) (* -1 r))))) (+ (* -1 (* (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2)) (* 2 (pow q 2))))) (* 2 (* (pow q 2) r)))) (pow p 3)))) (+ (* -1 (/ r p)) (+ (* -1 (/ (pow (+ (fabs p) (+ (fabs r) (* -1 r))) 2) (pow p 2))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))) p)
p
(* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* p (- (/ r p) 1))
(* -1/2 (pow p 2))
(* (pow p 2) (- (/ r p) 1/2))
(* (pow p 2) (- (+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (pow p 2))) (/ r p)) 1/2))
(* -1 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) (* -1 r)) (pow p 2)))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (* -1/2 (/ (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2))))) p)) (* 1/2 (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2)))))) (* 1/2 (/ (+ (* 2 (* (pow q 2) r)) (+ (* 2 (* (pow q 2) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) (* (+ r (+ (fabs p) (fabs r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ r (+ (fabs p) (fabs r))) (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r)))))) (pow r 2)))))))) p))) p)) (* 1/2 (- (* -2 r) (* -1 (+ r (+ (fabs p) (fabs r))))))) p)) 1/2)))
(/ -1 p)
(* -1 (/ (+ 1 (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) p))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ r (+ (fabs p) (fabs r))) 2) p)) (* 2 (/ (pow q 2) p))) (+ r (+ (fabs p) (fabs r)))) p))) p))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow q 2) r) p)) (+ (* -2 (/ (* (pow q 2) (+ r (+ (fabs p) (fabs r)))) p)) (* -1 (/ (* (+ r (+ (fabs p) (fabs r))) (+ (* -1 (pow (+ r (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) p)))) (+ (* -1 (pow (+ r (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) p)) (+ r (+ (fabs p) (fabs r)))) p))) p))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* (pow p 2) (- (* -1 (/ (+ (* -1 r) (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) p))) p)) 1/2))
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) r)) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* 1/2 (* r (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* r (+ (* -1/2 (* r (+ (* -1 (* (/ (* p (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))))) (* 1/2 (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* r (+ (* 1/2 (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (* r (+ (* -1/2 (* r (+ (* 1/2 (* (/ (* p (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* (/ (* p (+ (* -1 (* (/ (* p (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1/2 (+ (* -1 (* (/ (* p (- (* 2 (/ p (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))) (* -1 (* (/ (* p (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))))))))
(/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* (/ (* p r) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* r (- (* -1 (* r (+ (* -1 (/ (pow p 2) (* (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 3) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (* (/ (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* -1 (* (/ p (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
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(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
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(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
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(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
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(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))))
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(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))))))
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2))
(* r (- (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2)))) 1/2))
(* r (- (+ (* -1/2 (/ (+ (* -2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))))) (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2)))))))) (pow r 3))) (+ (* 1/2 (/ (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ (fabs p) (+ (fabs r) (* -1 p))) (- (* 2 p) (* -1 (+ (fabs p) (+ (fabs r) (* -1 p)))))) (pow p 2))))) (pow r 2))))) 1/2))
(/ 1 r)
(/ (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) r)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2)) (* 2 (pow q 2))) (pow r 2)))) (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))) r)
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow q 2) (+ (fabs p) (+ (fabs r) (* -1 p))))) (+ (* -1 (* (+ (fabs p) (+ (fabs r) (* -1 p))) (+ (* -1 (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2)) (* 2 (pow q 2))))) (* 2 (* p (pow q 2))))) (pow r 3)))) (+ (* -1 (/ p r)) (+ (* -1 (/ (pow (+ (fabs p) (+ (fabs r) (* -1 p))) 2) (pow r 2))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))) r)
(* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* r (+ 1 (* -1 (/ p r))))
(* -1/2 (pow r 2))
(* (pow r 2) (- (/ p r) 1/2))
(* (pow r 2) (- (+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) (pow r 2))) (/ p r)) 1/2))
(/ (pow r 2) (- (fabs r) (fabs p)))
(* (pow r 2) (- (/ 1 (- (fabs r) (fabs p))) (/ 1 r)))
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* (pow r 2) (- (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p))))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p))))
(* (pow r 2) (- (* 1/2 (/ 1 (- (fabs r) (fabs p)))) (* 1/2 (/ 1 r))))
(* (pow r 2) (- (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))) (* 1/2 (/ 1 r))))
(* (pow r 2) (- (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* -1 p)) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (/ 1 r))))
(* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (pow r 2)))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2))))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))) (* 1/2 (/ (+ (* 2 (* p (pow q 2))) (+ (* 2 (* (pow q 2) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) (* (+ p (+ (fabs p) (fabs r))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* -2 (pow q 2)) (+ (* 4 (pow q 2)) (+ (* (+ p (+ (fabs p) (fabs r))) (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r)))))) (pow p 2)))))))) r))) r)) (* 1/2 (- (* -2 p) (* -1 (+ p (+ (fabs p) (fabs r))))))) r)) 1/2)))
(/ -1 r)
(* -1 (/ (+ 1 (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) r))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ p (+ (fabs p) (fabs r))) 2) r)) (* 2 (/ (pow q 2) r))) (+ p (+ (fabs p) (fabs r)))) r))) r))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* p (pow q 2)) r)) (+ (* -2 (/ (* (pow q 2) (+ p (+ (fabs p) (fabs r)))) r)) (* -1 (/ (* (+ p (+ (fabs p) (fabs r))) (+ (* -1 (pow (+ p (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) r)))) (+ (* -1 (pow (+ p (+ (fabs p) (fabs r))) 2)) (* 2 (pow q 2)))) r)) (+ p (+ (fabs p) (fabs r)))) r))) r))
(* -1 r)
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (- (/ p r) 1)))
(* (pow r 2) (- (* -1 (/ (+ (* -1 p) (* -1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow p 2))) r))) r)) 1/2))
(* (pow r 2) (+ (/ 1 r) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 2 (/ (pow q 2) r))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p)) (/ (pow q 2) r)) r)) 1/2) r)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* -1/2 (* (pow q 2) (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))))) (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))))))
(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (- (+ p (+ (fabs p) (fabs r))) r))) (* (pow q 2) (+ (* -1/2 (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r))))) (* (pow q 2) (+ (* -1/2 (* (pow q 2) (+ (* -2 (/ (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (+ (* 2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (pow (- p r) 3) (- (+ p (+ (fabs p) (fabs r))) r)))) (* 4 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 5) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))) (* -1/2 (+ (* -2 (/ (+ (* 2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (* -2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))))))
(/ 1 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* -2 (/ (pow q 2) (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -1 (* (pow q 2) (+ (* 2 (/ (+ (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2))))) (* (- p r) (- (+ p (+ (fabs p) (fabs r))) r)))) (+ (* 4 (/ 1 (* (pow (- p r) 4) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3)))) (* 4 (/ 1 (* (pow (- p r) 5) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))))) (+ (* 2 (/ 1 (* (pow (- p r) 3) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))) (* 4 (/ 1 (* (pow (- p r) 2) (pow (- (+ p (+ (fabs p) (fabs r))) r) 3))))))) (* 2 (/ 1 (* (- p r) (pow (- (+ p (+ (fabs p) (fabs r))) r) 2)))))) (/ 1 (- (+ p (+ (fabs p) (fabs r))) r)))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)))
(+ (* -2 (pow q 2)) (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))))
(* -2 (pow q 2))
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2)))) 1))
(* q (- (+ (* -1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) (pow q 3))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2))))) 1))
(/ 1/2 q)
(/ (+ 1/2 (* -1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))) (pow q 2)))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))))) (* -1/32 (* (+ (fabs p) (fabs r)) (pow (- p r) 2)))) (pow q 3)))) (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) (pow q 2))) (+ (* 1/16 (/ (pow (- p r) 2) (pow q 2))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))))) q)
(* 2 q)
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (pow q 2))) 2))
(* -2 q)
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))) (* 1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) q))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (+ (fabs p) (fabs r)) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))

Outputs
(* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
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(+ (* 1/2 (* p (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
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(+ (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* p (+ (* -1/2 (* p (+ (* -1 (* (/ (* r (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ (* (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))) (* 1/2 (- (* 2 (/ r (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))) (* -1 (* (/ (* r (- (pow (+ (fabs p) (fabs r)) 2) (+ (* 4 (pow q 2)) (pow r 2)))) (pow (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
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p
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(-.f64 (+.f64 (-.f64 r (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -2 binary64) (-.f64 p r))) (.f64 q q) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))))) p)
(* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p))
(.f64 (-.f64 (+.f64 (-.f64 r (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) p) #s(literal 1/2 binary64))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)))
(fma.f64 (-.f64 (+.f64 (-.f64 r (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) p) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (-.f64 p r)))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(fma.f64 (-.f64 (+.f64 (-.f64 r (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) p) #s(literal 1/2 binary64) (.f64 (-.f64 (/.f64 (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q)))
(+ (* 1/2 (- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(fma.f64 (-.f64 (+.f64 (-.f64 r (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) p) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -1 binary64) (-.f64 p r))) (.f64 q q)))
(- p r)
(-.f64 p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(-.f64 (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) p) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (.f64 q q) p) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
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(* -1 q)
(neg.f64 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2)))) 1))
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(* q (- (+ (* -1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) (pow q 3))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) (pow q 2))))) 1))
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(/ 1/2 q)
(/.f64 #s(literal 1/2 binary64) q)
(/ (+ 1/2 (* -1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))) (pow q 2)))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q)
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 q q))) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) q)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2))))) (* -1/32 (* (+ (fabs p) (fabs r)) (pow (- p r) 2)))) (pow q 3)))) (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) (pow q 2))) (+ (* 1/16 (/ (pow (- p r) 2) (pow q 2))) (* 1/4 (/ (+ (fabs p) (fabs r)) q))))) q)
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 #s(literal -1/32 binary64) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) (.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q))))) q)
(* 2 q)
(*.f64 #s(literal 2 binary64) q)
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 r) q)) (/.f64 (fabs.f64 p) q)) q)
(* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (/.f64 (fabs.f64 r) q)) (/.f64 (fabs.f64 p) q)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q)))) #s(literal 2 binary64)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
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(* (pow q 2) (- (* 1/2 (/ (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2)) (pow q 2))) 2))
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(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
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(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
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(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 r r) q) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (/.f64 (*.f64 p p) q) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q)
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal 1/2 binary64) #s(literal -1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))) #s(literal 1 binary64)) q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
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q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) q) #s(literal -1/2 binary64) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))) (* 1/2 (/ (+ (* 1/8 (* (+ (fabs p) (fabs r)) (pow (- p r) 2))) (* 1/2 (* (+ (fabs p) (fabs r)) (- (* 1/2 (- (pow (+ (fabs p) (fabs r)) 2) (pow (- p r) 2))) (+ (* -1/4 (pow (- p r) 2)) (* 1/2 (pow (+ (fabs p) (fabs r)) 2))))))) q))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
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(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* 1/4 (/ (+ (fabs p) (fabs r)) q))) q))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (fabs p) (fabs r)) 2) q)) (* 1/16 (/ (pow (- p r) 2) q))) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/16 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))) q)) (neg.f64 q))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (fabs p) (fabs r)) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* -1/32 (/ (* (+ (fabs p) (fabs r)) (pow (- p r) 2)) q))) (+ (* -1/8 (pow (+ (fabs p) (fabs r)) 2)) (* 1/16 (pow (- p r) 2)))) q)) (* 1/4 (+ (fabs p) (fabs r)))) q))) q))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)) #s(literal -1/32 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) q) #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) q)) (neg.f64 q))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))

rewrite207.0ms (2.1%)

Memory

28.4MiB live, 217.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	421
0	116	415
1	459	397
2	3263	397
0	8710	394

Stop Event

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

Counts

22 → 503

Calls

Call 1

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

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

eval225.0ms (2.2%)

Memory: -14.7MiB live, 216.3MiB allocated
Compiler: Compiled 48 345 to 3 535 computations (92.7% saved)

prune131.0ms (1.3%)

Memory

25.4MiB live, 144.4MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	728	11	739
Fresh	6	24	30
Picked	3	2	5
Done	0	3	3
Total	737	40	777

Accuracy

95.5%

Counts

777 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.7%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	9.6%	(/.f64 (.f64 #s(approx (- (pow (+ (fabs r) (fabs p)) 2) (+ ( 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (.f64 p p)) (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (.f64 q q) p) (.f64 (/.f64 r p) (/.f64 r p))) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)))) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	33.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) p) #s(literal -2 binary64) r) p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	40.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	40.6%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	40.3%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	37.9%	(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	37.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))))
	44.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))))
	44.5%	(.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	44.5%	(.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	9.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 r r)))) (-.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 p (.f64 r r))))) (*.f64 r r))))
	43.0%	(.f64 (exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r))) #s(literal -1 binary64))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	40.5%	(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p)))) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	19.7%	(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	20.8%	(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
	16.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	23.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	30.7%	#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	2.9%	#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
	27.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	20.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
✓	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	7.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	30.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	6.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	12.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	36.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 6 523 to 1 832 computations (71.9% saved)

regimes383.0ms (3.8%)

Memory

-17.8MiB live, 268.1MiB allocated

Counts

83 → 3

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) #s(approx (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 p p)) (+.f64 #s(literal 0 binary64) p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p)))) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1 binary64) p)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) p) #s(literal -2 binary64) r) p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) p (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r))) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 r r)))) (-.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 p (.f64 r r))))) (*.f64 r r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 (pow.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 (pow.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) (fabs.f64 r))) #s(literal -1 binary64))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 (.f64 #s(approx (- (pow (+ (fabs r) (fabs p)) 2) (+ ( 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (.f64 p p)) (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) p) (/.f64 (.f64 q q) p) (.f64 (/.f64 r p) (/.f64 r p))) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)))) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))

Outputs

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

Calls

7 calls:

116.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
57.0ms	r
40.0ms	p
38.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
27.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
66.7%	5	`p`
64.2%	3	`r`
68.6%	3	`q`
53.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
53.5%	2	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
68.6%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
68.6%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes134.0ms (1.3%)

Memory

-15.0MiB live, 68.0MiB allocated

Counts

55 → 4

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) #s(approx (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 p p)) (+.f64 #s(literal 0 binary64) p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p)))) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1 binary64) p)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) p) #s(literal -2 binary64) r) p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) p (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r))) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))

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

Calls

3 calls:

97.0ms	q
19.0ms	(pow.f64 q #s(literal 2 binary64))
14.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.1%	4	`q`
68.1%	4	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
68.1%	4	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes52.0ms (0.5%)

Memory

11.6MiB live, 50.8MiB allocated

Counts

38 → 4

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) #s(approx (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 p p)) (+.f64 #s(literal 0 binary64) p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))

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

Calls

3 calls:

29.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
11.0ms	q
10.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
67.9%	4	`q`
67.9%	4	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
67.9%	4	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes41.0ms (0.4%)

Memory

12.5MiB live, 51.7MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 r p) #s(literal -1 binary64)) p))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) #s(approx (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) (neg.f64 q))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 p p)) (+.f64 #s(literal 0 binary64) p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))

Outputs

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

(/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

Calls

3 calls:

19.0ms	(pow.f64 q #s(literal 2 binary64))
10.0ms	q
9.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.0%	3	`q`
66.0%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
66.0%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes131.0ms (1.3%)

Memory

-20.8MiB live, 60.3MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal -1 binary64) p)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
(.f64 #s(approx (pow (+ (+ (fabs p) (fabs r)) (sqrt (+ ( (* q q) 4) (pow (- p r) 2)))) -1) (/.f64 #s(literal 1 binary64) r)) #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (/ (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (+ (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (fabs r) (fabs p)))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))

Outputs

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Calls

5 calls:

80.0ms	(pow.f64 q #s(literal 2 binary64))
30.0ms	r
7.0ms	p
7.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.4%	4	`p`
58.0%	3	`r`
59.3%	2	`q`
59.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.3%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes42.0ms (0.4%)

Memory

-0.7MiB live, 38.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Calls

7 calls:

25.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.0ms	q
3.0ms	p
3.0ms	r
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
37.9%	2	`p`
31.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
31.4%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
31.4%	1	`r`
38.9%	2	`q`
38.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes64.0ms (0.6%)

Memory

-4.1MiB live, 35.5MiB allocated

Accuracy

Total -19.1b remaining (-43.6%)

Threshold costs -19.1b (-43.6%)

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Calls

7 calls:

48.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms	r
3.0ms	p
3.0ms	q
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
31.4%	1	`r`
31.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
31.4%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
31.4%	1	`p`
31.4%	1	`q`
31.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
31.4%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.733206993953159e+249	6.936834112805661e+249
0.0ms	2.1394418718422435e-234	1.632166355988389e-233

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.6089975398538903e+189	1.3513289962389443e+193
0.0ms	39835753297.09598	496475191316149.3
0.0ms	2.1394418718422435e-234	1.632166355988389e-233

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3586065349816689e+161	2.6089975398538903e+189
0.0ms	39835753297.09598	496475191316149.3
0.0ms	2.1394418718422435e-234	1.632166355988389e-233

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3586065349816689e+161	2.6089975398538903e+189
0.0ms	2.1394418718422435e-234	1.632166355988389e-233

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5207029308070324e-49	3.3573355696456716e-49

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.310292679431247e-180	4.5743393488883394e-173

Compiler

Compiled 25 to 25 computations (0% saved)

simplify62.0ms (0.6%)

Memory

-17.9MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1051
1	163	1051
2	182	1051
3	191	1051
4	196	1051
5	197	1051

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6800000000000000258347728223822952867644988924552819505074872797517185482509391951228810191784606619404792895427333490976793371216997575953160237858659926723551987144694361417327349645437402671311402511308970299393507405360025261521447924905852010496 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 50000000000 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 50000000000 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 7898421875141789/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2919961995278205/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6800000000000000258347728223822952867644988924552819505074872797517185482509391951228810191784606619404792895427333490976793371216997575953160237858659926723551987144694361417327349645437402671311402511308970299393507405360025261521447924905852010496 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 (+.f64 (fabs.f64 p) (+.f64 (-.f64 (fabs.f64 r) r) p)) #s(literal 1/2 binary64)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6800000000000000258347728223822952867644988924552819505074872797517185482509391951228810191784606619404792895427333490976793371216997575953160237858659926723551987144694361417327349645437402671311402511308970299393507405360025261521447924905852010496 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 (.f64 q q) #s(literal -2 binary64))) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 p q))) p (+.f64 (fabs.f64 p) (fabs.f64 r))) (.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 1789931494904685/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 50000000000 binary64)) (/.f64 #s(approx ( (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(approx (* (- (pow (+ (fabs r) (fabs p)) 2) (+ (* 4 (* q q)) (pow (- p r) 2))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 #s(approx (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) #s(approx (* (- 1 (/ p r)) r) (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness852.0ms (8.4%)

Memory

30.8MiB live, 940.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3263
1	1907	3082
2	6170	3054
0	8467	2844
0	18	75
0	31	75
1	109	75
2	796	75
0	8636	71
0	1499	10896
1	4715	10496
0	8626	9853
0	1523	12832
1	4932	12359
0	8291	11690
0	1603	11576
1	5075	11136
0	8193	10473

Stop Event

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

Compiler

Compiled 1 637 to 620 computations (62.1% saved)

preprocess82.0ms (0.8%)

Memory: -0.3MiB live, 121.2MiB allocated
Compiler: Compiled 2 950 to 636 computations (78.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (24.2%)

explain534.0ms (5.3%)

preprocess233.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify178.0ms (1.8%)

localize127.0ms (1.3%)

series23.0ms (0.2%)

simplify202.0ms (2%)

rewrite186.0ms (1.8%)

eval73.0ms (0.7%)

prune39.0ms (0.4%)

simplify211.0ms (2.1%)

localize416.0ms (4.1%)

series87.0ms (0.9%)

simplify211.0ms (2.1%)

rewrite215.0ms (2.1%)

eval246.0ms (2.4%)

prune69.0ms (0.7%)

simplify146.0ms (1.4%)

localize462.0ms (4.6%)

series59.0ms (0.6%)

simplify251.0ms (2.5%)

rewrite212.0ms (2.1%)

eval134.0ms (1.3%)

prune55.0ms (0.5%)

simplify137.0ms (1.4%)

localize398.0ms (3.9%)

series93.0ms (0.9%)

simplify253.0ms (2.5%)

rewrite207.0ms (2.1%)

eval225.0ms (2.2%)

prune131.0ms (1.3%)

regimes383.0ms (3.8%)

regimes134.0ms (1.3%)

regimes52.0ms (0.5%)

regimes41.0ms (0.4%)

regimes131.0ms (1.3%)

regimes42.0ms (0.4%)

regimes64.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.6%)

soundness852.0ms (8.4%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling