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

1.0MiB live, 1.0MiB 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)

sample2.3s (24.7%)

Memory

80.5MiB live, 3 845.4MiB allocated

Samples

648.0ms	2 260×	2	valid
611.0ms	3 067×	1	valid
380.0ms	2 929×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow2: 252.0ms (19.2% of total)

adjust: 233.0ms (17.7% of total)

ival-sub: 159.0ms (12.1% of total)

ival-add: 158.0ms (12% of total)

ival-mult: 155.0ms (11.8% of total)

ival-sqrt: 144.0ms (10.9% of total)

ival-fabs: 121.0ms (9.2% of total)

ival-div: 74.0ms (5.6% of total)

exact: 11.0ms (0.8% of total)

ival-true: 6.0ms (0.5% of total)

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

Bogosity

explain257.0ms (2.8%)

Memory

-9.0MiB live, 636.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
155	-	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
122	-	-	`(-.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	149	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	149
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	109
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	67
`-.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	122	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	6	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	6
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	19
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	61

Confusion

	Predicted +	Predicted -
+	201	0
-	0	55

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	201	0	0
-	0	0	55

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	55
1	125
2	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	192×	1	valid
38.0ms	128×	2	valid
21.0ms	192×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow2: 14.0ms (20.5% of total)

adjust: 13.0ms (19% of total)

ival-mult: 10.0ms (14.6% of total)

ival-sub: 9.0ms (13.2% of total)

ival-add: 8.0ms (11.7% of total)

ival-sqrt: 7.0ms (10.2% of total)

ival-fabs: 4.0ms (5.8% of total)

ival-div: 3.0ms (4.4% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess217.0ms (2.4%)

Memory

2.0MiB live, 200.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.3%	(.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

▶

25.3%

(*.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)

simplify164.0ms (1.8%)

Memory

19.8MiB live, 97.4MiB 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

localize73.0ms (0.8%)

Memory

4.2MiB live, 118.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.025722509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	28.521609826186445	(-.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	35.973920957383974	(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

25.0ms	64×	2	valid
20.0ms	96×	1	valid
10.0ms	96×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-pow2: 9.0ms (22.9% of total)

ival-sub: 7.0ms (17.8% of total)

adjust: 6.0ms (15.3% of total)

ival-add: 4.0ms (10.2% of total)

ival-mult: 4.0ms (10.2% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-div: 2.0ms (5.1% of total)

ival-fabs: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

-32.2MiB live, 51.6MiB 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
14.0ms	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))
5.0ms	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))
3.0ms	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))
2.0ms	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))
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))

simplify348.0ms (3.8%)

Memory

9.2MiB live, 244.2MiB 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))

rewrite230.0ms (2.5%)

Memory

-50.1MiB live, 279.8MiB 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)))

eval139.0ms (1.5%)

Memory: -2.3MiB live, 115.4MiB allocated
Compiler: Compiled 21 469 to 2 397 computations (88.8% saved)

prune106.0ms (1.2%)

Memory

25.6MiB live, 65.1MiB 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

66.9%

Counts

494 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.1%	(/.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)))))
	16.5%	(.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)))))))
	17.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.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)) (neg.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 (fabs.f64 r) (fabs.f64 p))))
	15.3%	(.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)))))))
▶	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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)))))))
	20.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (-.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	12.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (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))))))
	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)))))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (/.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 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
	16.6%	(.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 #s(literal 1 binary64) (/.f64 p r)) r))))
	37.2%	(.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))))
	21.9%	(.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)))))))))
	26.0%	(.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)))
	18.2%	(.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)))
	17.7%	#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))))
	14.2%	#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))
	37.0%	#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))
▶	17.9%	#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 (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))
	19.7%	#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)))
	21.6%	#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)))
▶	14.0%	#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))))
	13.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	38.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 326 to 1 480 computations (36.4% saved)

simplify109.0ms (1.2%)

Memory

-4.9MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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)))))))
cost-diff	320	(fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
cost-diff	0	(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)))))
cost-diff	0	(.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))
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 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)))
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	61	513
0	102	509
1	190	505
2	372	505
3	998	505
4	2824	497
5	5967	497
0	8202	497

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

localize354.0ms (3.9%)

Memory

17.4MiB live, 453.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	2.097652121660412	(+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))
accuracy	5.785156250000001	(-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))
accuracy	30.404813309864018	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	33.7680512611123	(fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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))))))
accuracy	13.161849118058074	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	15.997994717861348	#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)))
accuracy	25.81316813409726	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	26.750329496343586	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	2.3548429314723287	(*.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	11.068915922108564	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy	23.334134841913638	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	36.338302835536574	#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	52.083411935371416	#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	29.7331434148974	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

165.0ms	154×	1	valid
77.0ms	47×	2	valid
46.0ms	40×	2	exit
3.0ms	10×	0	valid
3.0ms	3×	3	valid
1.0ms	2×	1	exit

Compiler

Compiled 1 021 to 123 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

adjust: 64.0ms (25.3% of total)

ival-mult: 51.0ms (20.2% of total)

ival-pow: 38.0ms (15% of total)

ival-div: 33.0ms (13.1% of total)

ival-sqrt: 20.0ms (7.9% of total)

ival-add: 20.0ms (7.9% of total)

ival-sub: 11.0ms (4.4% of total)

ival-pow2: 7.0ms (2.8% of total)

ival-neg: 4.0ms (1.6% of total)

ival-fabs: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series60.0ms (0.7%)

Memory

6.2MiB live, 119.7MiB allocated

Counts

21 → 270

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 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)))
(.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))
(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)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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)))))))
(+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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)
(- (+ (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))))
(- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* p (- (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2)))) (* 1/2 (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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 3)
(+ (pow p 3) (pow r 3))
(- (+ (fabs p) (fabs r)) r)
(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))))))))))
(- (pow r 2) (fabs (* p r)))
(- (+ (pow p 2) (pow r 2)) (fabs (* p r)))
(* 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)
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 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))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
r
(- (/ (fabs (* p r)) p) (+ (* -1 r) (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) p))))
(- (+ (/ (fabs (* p r)) p) (/ (pow r 3) (pow p 2))) (+ (* -1 r) (+ (* 2 (/ (* (pow q 2) r) (pow p 2))) (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) p)))))
(- (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow r 2)) (- (pow r 2) (fabs (* p r))))) (pow p 3))) (+ (/ (fabs (* p r)) p) (/ (pow r 3) (pow p 2)))) (+ (* -1 r) (+ (* 2 (/ (* (pow q 2) r) (pow p 2))) (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) p)))))
(* 1/2 r)
(+ (* 1/2 r) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)))
(+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow r 2)) (- (pow r 2) (fabs (* p r))))) (pow p 3))) (+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2))))))
(pow p 3)
(* (pow p 3) (+ 1 (/ (pow r 3) (pow p 3))))
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)))))))
(pow p 2)
(* (pow p 2) (- (+ 1 (/ (pow r 2) (pow p 2))) (/ (fabs (* p r)) (pow p 2))))
(* -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 (* 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 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* 2 p)
(* -1 (* p (- (/ r p) 2)))
(* -1 (* p (- (* -1 (/ (- (* -1 (/ (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) p)) r) p)) 2)))
(* -1 (* p (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow r 3) (* -2 (* (pow q 2) r))) p)) (pow r 2)) (+ (fabs (* p r)) (* 2 (pow q 2)))) p)) r) p)) 2)))
(* -1 (* p (- (* 1/2 (/ r p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* -1/2 (/ (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) p))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow r 3) (* -2 (* (pow q 2) r))) p)) (* 1/2 (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) p)) (* -1/2 r)) p)) 1)))
(* -1 (* (pow p 3) (- (* -1 (/ (pow r 3) (pow p 3))) 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)))))
(* 1/2 (- (+ (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)
(* 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))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -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) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (/ (pow p 3) (- (pow p 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* r (- (* -1 (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ (pow p 3) (- (pow p 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* r (- (* r (- (* r (- (/ 1 (- (pow p 2) (fabs (* p r)))) (* 1/2 (* (* p (- 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)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (/ (pow p 3) (- (pow p 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/2 (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2)))) (* 1/2 (* r (- (/ 1 (- (pow p 2) (fabs (* p r)))) (* 1/2 (* (* p (- 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))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(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))))))))))
(- (pow p 2) (fabs (* p r)))
(* -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))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(- (/ (fabs (* p r)) r) (+ (* -1 p) (+ (* 2 (/ (pow q 2) r)) (/ (pow p 2) r))))
(- (+ (/ (fabs (* p r)) r) (/ (pow p 3) (pow r 2))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (+ (* 2 (/ (pow q 2) r)) (/ (pow p 2) r)))))
(- (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow p 2)) (- (pow p 2) (fabs (* p r))))) (pow r 3))) (+ (/ (fabs (* p r)) r) (/ (pow p 3) (pow r 2)))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (+ (* 2 (/ (pow q 2) r)) (/ (pow p 2) r)))))
(+ (* 1/2 p) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)))
(+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow p 2)) (- (pow p 2) (fabs (* p r))))) (pow r 3))) (+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2))))))
(* (pow r 3) (+ 1 (/ (pow p 3) (pow r 3))))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* 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)))))))
(pow r 2)
(* (pow r 2) (- (+ 1 (/ (pow p 2) (pow r 2))) (/ (fabs (* p r)) (pow r 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 (/ (* 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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 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) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* 2 r)
(* -1 (* r (- (/ p r) 2)))
(* -1 (* r (- (* -1 (/ (- (* -1 (/ (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) r)) p) r)) 2)))
(* -1 (* r (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow p 3) (* -2 (* p (pow q 2)))) r)) (pow p 2)) (+ (fabs (* p r)) (* 2 (pow q 2)))) r)) p) r)) 2)))
(* -1 (* r (- (* 1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* -1/2 (/ (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) r))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow p 3) (* -2 (* p (pow q 2)))) r)) (* 1/2 (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) r)) (* -1/2 p)) r)) 1)))
(* -1 (* (pow r 3) (- (* -1 (/ (pow p 3) (pow r 3))) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -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 (- (+ 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 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
(- (+ r (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
(- (+ 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))))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
(* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) 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)
(* 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 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 r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(* q (- (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 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
(* -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 r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow 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 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (- (* -1 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* 1/4 (/ (pow (- p r) 2) q)) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 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))))))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	q	@	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (pow r 3) (pow p 3)) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* r r))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (- (+ (* r r) (* p p)) (fabs (* r p))))
7.0ms	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (pow r 3) (pow p 3)) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* r r))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (- (+ (* r r) (* p p)) (fabs (* r p))))
7.0ms	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (pow r 3) (pow p 3)) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* r r))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (- (+ (* r r) (* p p)) (fabs (* r p))))
6.0ms	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (pow r 3) (pow p 3)) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* r r))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (- (+ (* r r) (* p p)) (fabs (* r p))))
6.0ms	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (+ (pow r 3) (pow p 3)) (- (+ (fabs r) (fabs p)) r) (sqrt (+ (* (* q q) 4) (* r r))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (- (+ (* r r) (* p p)) (fabs (* r p))))

simplify196.0ms (2.1%)

Memory

-11.7MiB live, 265.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1316	8109
1	4053	8025
0	8413	7542

Stop Event

1×	iter limit
1×	node limit

Counts

270 → 267

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

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 (fma.f64 (.f64 p (.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)))))) #s(literal -1/4 binary64) (.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 (- (+ (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 (-.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)))) (.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)))))))) 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 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64))
(* -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 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)) p)
(- (+ (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))))
(-.f64 (+.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) (fabs.f64 r)) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(- (+ (* 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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) #s(literal 2 binary64)))) (neg.f64 p) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r)) p (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(- (+ (* p (- (* p (- (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 3) (- (pow r 2) (fabs (* p r))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (.f64 (.f64 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) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) p (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) #s(literal 2 binary64)))))) p (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r)) p (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r 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 (- (/ (pow r 3) (- (pow r 2) (fabs (* p 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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) p) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) #s(literal 2 binary64)))) (.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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2)))) (* 1/2 (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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 (fma.f64 (.f64 #s(literal 1/2 binary64) p) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (.f64 (.f64 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) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) 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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(pow r 3)
(pow.f64 r #s(literal 3 binary64))
(+ (pow p 3) (pow r 3))
(+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))
(- (+ (fabs p) (fabs r)) r)
(+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p))
(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 (neg.f64 (.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 (fma.f64 (.f64 p (.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)))))) #s(literal 1/2 binary64) (.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r 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 (.f64 #s(literal 1/2 binary64) (fma.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)))) (.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)))))))) p (.f64 (neg.f64 r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (pow r 2) (fabs (* p r)))
(-.f64 (.f64 r r) (fabs.f64 (.f64 r p)))
(- (+ (pow p 2) (pow r 2)) (fabs (* p r)))
(-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) 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 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal 1/2 binary64) (/.f64 (.f64 q q) (*.f64 (neg.f64 p) p))) #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 (.f64 (neg.f64 q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal 1/2 binary64) (/.f64 (.f64 q q) (.f64 (neg.f64 p) p))) #s(literal 1/2 binary64))) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
(*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* 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))))
(.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 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) p))) p)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p))) (/.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) p)) p)
r
(- (/ (fabs (* p r)) p) (+ (* -1 r) (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) p))))
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(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 7 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 r #s(literal 5 binary64)))) (.f64 q q) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 1 binary64) r))
(- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)
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(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
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(- (+ r (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
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(- (+ 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))))) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) p)
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(* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p))
(.f64 (-.f64 (+.f64 (+.f64 r (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r p))))) p) #s(literal 1/2 binary64))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)))
(fma.f64 (-.f64 (+.f64 (+.f64 r (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) p) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (-.f64 p r)))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(fma.f64 (-.f64 (+.f64 (+.f64 r (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) 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 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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)))
(+ r (* 2 (/ (pow q 2) r)))
(fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) r)
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
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(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(+.f64 (fabs.f64 p) (-.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r)) r))
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) r)) (.f64 q q) (fabs.f64 r)) (fabs.f64 p)) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
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(- 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)
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal 4 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) p) r)
(* 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)) 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 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 (/ (+ (fabs p) (fabs r)) q)))) 1))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (+.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))))) q (neg.f64 q))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) (*.f64 q q))) #s(literal -1 binary64)) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/64 binary64))) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) (*.f64 q q))) #s(literal -1 binary64))) q)
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(*.f64 (+.f64 (/.f64 (fabs.f64 p) q) (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64))) q)
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (.f64 r p) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (fma.f64 (/.f64 (*.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 r #s(literal 3 binary64)) p) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (.f64 r p) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (+.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))) q)
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 r r) q) (/.f64 (neg.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 1/2 binary64)) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 r q) (/.f64 r q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 r r)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) q)
(* q (- (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) 2))
(.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r p))))) #s(literal 2 binary64)) q)
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) 2))
(.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))))) #s(literal 2 binary64)) q)
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (pow p 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) (/ (pow r 3) (* q (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) (+ 2 (* 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) (+.f64 (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) q) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r p)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* q (- (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r p))))) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r 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 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)))) 1))
(fma.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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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))))) q (neg.f64 q))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) q)
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (.f64 r r) q) (+.f64 (/.f64 (fabs.f64 p) q) (-.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)))) q)
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/64 binary64) (-.f64 (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q)) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)))) q)
(* 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)) 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 (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)) 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 (/.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)) 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)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) 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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.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 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) q) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/64 binary64))) (*.f64 q q)))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (+.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 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) p) q) (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) r) (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) q) (/.f64 #s(literal -1/64 binary64) q) (.f64 #s(literal 1/4 binary64) (.f64 r r))))) q)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 r r) q) (/.f64 (neg.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 r q) (/.f64 r q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 r r)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (* q (- (* -1 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r p))))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/4 (/ (pow (- p r) 2) q)) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) 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 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r 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)) (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (*.f64 r 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p))))) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.f64 r 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 r 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #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 r 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) 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 r 4) (pow q 2))) (* 1/4 (pow r 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 r #s(literal 4 binary64)) q) (.f64 #s(literal -1/4 binary64) (*.f64 r r))) 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 (+.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))

rewrite203.0ms (2.2%)

Memory

-24.7MiB live, 217.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	372
0	102	364
1	431	360
2	3317	332
0	9046	332

Stop Event

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

Counts

21 → 564

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

eval189.0ms (2.1%)

Memory: 40.4MiB live, 228.3MiB allocated
Compiler: Compiled 50 746 to 4 235 computations (91.7% saved)

prune125.0ms (1.4%)

Memory

-10.1MiB live, 119.6MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	816	14	830
Fresh	13	11	24
Picked	3	2	5
Done	0	0	0
Total	832	27	859

Accuracy

86.0%

Counts

859 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(.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)))))))
	15.3%	(.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)))))))
	21.2%	(.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)))))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
▶	26.0%	(.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)))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 r #s(literal 2 binary64))))
	15.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 p #s(literal 2 binary64))))
▶	29.1%	#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)))
	18.2%	#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))
	12.0%	#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))))
	19.7%	#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)))
	21.6%	#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)))
	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))))
	7.1%	#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)))))
	11.8%	#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 (neg.f64 r) (fma.f64 (/.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) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) p))))))
	29.7%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))
▶	37.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	7.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	38.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	30.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 p r) (/.f64 #s(literal -2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)))))
	5.9%	#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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p) (*.f64 #s(literal -1/2 binary64) r))))
	4.9%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (fabs.f64 (.f64 r p)) (.f64 r r)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 q q)) (.f64 r r) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 r r))) p) (/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (.f64 (.f64 (.f64 q q) #s(literal 2 binary64)) r)) (.f64 p p))) (*.f64 #s(literal 1/2 binary64) r))))
▶	22.0%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r))))

Compiler

Compiled 2 523 to 1 645 computations (34.8% saved)

simplify140.0ms (1.5%)

Memory

-4.4MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#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))
cost-diff	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)))
cost-diff	704	(.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)
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p))) r)
cost-diff	0	(+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p))) r))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r)))
cost-diff	0	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r))))
cost-diff	0	#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)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 q q))
cost-diff	192	(+.f64 #s(literal 0 binary64) q)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))
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	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	128	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	613
0	122	603
1	244	601
2	528	593
3	1357	593
4	3490	590
0	8219	567

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

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

localize431.0ms (4.7%)

Memory

7.1MiB live, 671.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.599596602167277	(.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)
accuracy	7.8297287828934	(/.f64 (*.f64 q q) r)
accuracy	29.758317147331717	(-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))
accuracy	34.04881220945854	#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))
accuracy	5.8589218323373	(+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p))) r))
accuracy	6.601521216604117	(-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p)))
accuracy	10.697823824023674	(/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p))) r)
accuracy	46.44457748555645	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r))))
accuracy	0	(+.f64 #s(literal 0 binary64) q)
accuracy	0	(*.f64 q q)
accuracy	30.194791659551544	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q))
accuracy	39.63982535829682	#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)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.457966833412065	#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	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	18.141531589550286	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	29.834181039642143	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))))

Samples

215.0ms	133×	2	valid
111.0ms	116×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 1 105 to 165 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

adjust: 68.0ms (29.4% of total)

ival-mult: 44.0ms (19% of total)

ival-add: 32.0ms (13.8% of total)

ival-div: 28.0ms (12.1% of total)

ival-sub: 21.0ms (9.1% of total)

ival-sqrt: 14.0ms (6.1% of total)

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

ival-pow2: 7.0ms (3% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series49.0ms (0.5%)

Memory

16.6MiB live, 55.6MiB allocated

Counts

24 → 213

Calls

Call 1

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

Outputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(* 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))))))))))
(- (+ (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))))
(* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2)))) (* 1/2 (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))))
(+ (* 1/2 p) (* 1/2 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))))
(+ (* 1/2 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))) (* p (+ 1/2 (* -1/2 (/ p r)))))
(- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))
(- (+ p (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(- (+ (* p (+ 1 (* -1 (/ p r)))) (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(/ (- (fabs (* p r)) (* 2 (pow q 2))) r)
(- (+ (* -1 (/ (pow p 2) r)) (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ (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 (* p r)) (* 2 (pow q 2)))
(- (+ (fabs (* p r)) (* -1 (pow p 2))) (* 2 (pow q 2)))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(* -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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 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))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* 1/2 r)
(+ (* 1/2 r) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)))
(+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow r 2)) (- (pow r 2) (fabs (* p r))))) (pow p 3))) (+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2))))))
(* -1/2 (/ (pow p 2) r))
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 r))))
(* (pow p 2) (- (+ (* 1/2 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) (pow p 2))) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ (pow p 2) r))
(* (pow p 2) (- (/ 1 p) (/ 1 r)))
(* (pow p 2) (- (+ (/ 1 p) (/ (fabs (* p r)) (* (pow p 2) r))) (+ (* 2 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))))
(* (pow p 2) (- (/ (fabs (* p r)) (* (pow p 2) r)) (+ (* 2 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))))
p
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* -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)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (fabs (* p r)) (pow p 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ p r)
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 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 (+ (* -1/2 (* 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 (* p (+ (* -1 (* r (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 (- (* 1/2 (/ r p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* -1/2 (/ (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) p))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow r 3) (* -2 (* (pow q 2) r))) p)) (* 1/2 (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) p)) (* -1/2 r)) p)) 1)))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) p)) 1/2) p)) (* 1/2 (/ 1 r))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) p)) 1) p)) (/ 1 r)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -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)))
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r))))
(* 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))))))))))
(* 1/2 (- (+ (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))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* -1/2 r)
(* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/2 (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2)))) (* 1/2 (* r (- (/ 1 (- (pow p 2) (fabs (* p r)))) (* 1/2 (* (* p (- 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 r)) (+ (* 2 (pow q 2)) (pow p 2))) r))
(/ (+ (* 1/2 (* p r)) (* 1/2 (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))))) r)
(/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)
(/ (- (+ (fabs (* p r)) (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 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))))
(fabs r)
(- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2)))
(/ (+ p (+ (fabs p) (fabs r))) r)
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r)
(/ (pow q 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* 1/2 p) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)))
(+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow p 2)) (- (pow p 2) (fabs (* p r))))) (pow r 3))) (+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2))))))
(- (+ p (/ (fabs (* p r)) r)) (+ (* 2 (/ (pow q 2) r)) (/ (pow p 2) 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
(* -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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 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) (* -1 p))))) r)) 1/2)))
r
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (- (* 1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* -1/2 (/ (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) r))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow p 3) (* -2 (* p (pow q 2)))) r)) (* 1/2 (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) r)) (* -1/2 p)) r)) 1)))
(* -1 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* -1 (/ (fabs p) r)) (* -1 (/ (fabs r) r)))))))
(* -1 (* r (+ 1 (* -1 (/ (+ (* -2 (/ (pow q 2) r)) (* -1 (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (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 (/ (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (fabs r)))) r)) 1)
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -2 q)))
(* 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 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(* -1 q)
q
(* -1 (pow q 2))
(* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r)))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r))))
(- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r))
(- (+ p (+ (* -2 (/ (pow q 2) r)) (/ (fabs (* p r)) r))) (/ (pow p 2) r))
(/ (- (fabs (* p r)) (pow p 2)) r)
(- (+ (* -2 (/ (pow q 2) r)) (/ (fabs (* p r)) r)) (/ (pow p 2) r))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ 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)
(pow q 2)
(- (fabs (* p r)) (pow p 2))
(- (+ (fabs (* p r)) (* -2 (pow q 2))) (pow p 2))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)))) 1))
(* -1 (/ (pow q 2) r))
(* (pow q 2) (- (* 1/2 (/ (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r)) (pow q 2))) (/ 1 r)))
(* (pow q 2) (- (+ (/ p (pow q 2)) (/ (fabs (* p r)) (* (pow q 2) r))) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(* (pow q 2) (- (/ (fabs (* p r)) (* (pow q 2) r)) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* 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))))))
(* -2 (pow q 2))
(* (pow q 2) (- (/ (fabs (* p r)) (pow q 2)) (+ 2 (/ (pow p 2) (pow q 2)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) 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 r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* 2 q)
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(* -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
13.0ms	r	@	-inf	((- (+ (fabs r) (fabs p)) (* q 2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (/ (- 0 (* q q)) (+ 0 q)) (+ 0 q) (- 0 (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r)) (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r) (/ 1 2) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r)))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (fabs p) (fabs r) (* q q) (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/ (* q q) r))
4.0ms	p	@	0	((- (+ (fabs r) (fabs p)) (* q 2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (/ (- 0 (* q q)) (+ 0 q)) (+ 0 q) (- 0 (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r)) (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r) (/ 1 2) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r)))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (fabs p) (fabs r) (* q q) (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/ (* q q) r))
4.0ms	q	@	inf	((- (+ (fabs r) (fabs p)) (* q 2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (/ (- 0 (* q q)) (+ 0 q)) (+ 0 q) (- 0 (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r)) (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r) (/ 1 2) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r)))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (fabs p) (fabs r) (* q q) (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/ (* q q) r))
4.0ms	q	@	0	((- (+ (fabs r) (fabs p)) (* q 2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (/ (- 0 (* q q)) (+ 0 q)) (+ 0 q) (- 0 (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r)) (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r) (/ 1 2) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r)))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (fabs p) (fabs r) (* q q) (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/ (* q q) r))
4.0ms	r	@	0	((- (+ (fabs r) (fabs p)) (* q 2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (/ (- 0 (* q q)) (+ 0 q)) (+ 0 q) (- 0 (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r)) (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r) (/ 1 2) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r)))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (fabs p) (fabs r) (* q q) (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/ (* q q) r))

simplify276.0ms (3%)

Memory

8.2MiB live, 208.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1054	6053
1	3209	5901
0	8046	5540

Stop Event

1×	iter limit
1×	node limit

Counts

213 → 210

Calls

Call 1

Inputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(* 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))))))))))
(- (+ (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))))
(* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2)))) (* 1/2 (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* 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 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))))
(+ (* 1/2 p) (* 1/2 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))))
(+ (* 1/2 (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))) (* p (+ 1/2 (* -1/2 (/ p r)))))
(- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r)))
(- (+ p (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(- (+ (* p (+ 1 (* -1 (/ p r)))) (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(/ (- (fabs (* p r)) (* 2 (pow q 2))) r)
(- (+ (* -1 (/ (pow p 2) r)) (/ (fabs (* p r)) r)) (* 2 (/ (pow q 2) r)))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ (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 (* p r)) (* 2 (pow q 2)))
(- (+ (fabs (* p r)) (* -1 (pow p 2))) (* 2 (pow q 2)))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(* -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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 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))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* 1/2 r)
(+ (* 1/2 r) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)))
(+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow r 2)) (- (pow r 2) (fabs (* p r))))) (pow p 3))) (+ (* 1/2 r) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow r 2))) p)) (* 1/2 (/ (- (pow r 3) (* 2 (* (pow q 2) r))) (pow p 2))))))
(* -1/2 (/ (pow p 2) r))
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 r))))
(* (pow p 2) (- (+ (* 1/2 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) (pow p 2))) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ (pow p 2) r))
(* (pow p 2) (- (/ 1 p) (/ 1 r)))
(* (pow p 2) (- (+ (/ 1 p) (/ (fabs (* p r)) (* (pow p 2) r))) (+ (* 2 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))))
(* (pow p 2) (- (/ (fabs (* p r)) (* (pow p 2) r)) (+ (* 2 (/ (pow q 2) (* (pow p 2) r))) (/ 1 r))))
p
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* -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)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (fabs (* p r)) (pow p 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ p r)
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 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 (+ (* -1/2 (* 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 (* p (+ (* -1 (* r (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 (- (* 1/2 (/ r p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* -1/2 (/ (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) p))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow r 3) (* -2 (* (pow q 2) r))) p)) (* 1/2 (- (pow r 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) p)) (* -1/2 r)) p)) 1)))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) p)) 1/2) p)) (* 1/2 (/ 1 r))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (fabs (* p r)) r) (* 2 (/ (pow q 2) r))) p)) 1) p)) (/ 1 r)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -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)))
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r))))
(* 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))))))))))
(* 1/2 (- (+ (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))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* -1/2 r)
(* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/2 (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (/ (pow p 3) (- (pow p 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (/ (pow p 3) (pow (- (pow p 2) (fabs (* p r))) 2)))) (* 1/2 (* r (- (/ 1 (- (pow p 2) (fabs (* p r)))) (* 1/2 (* (* p (- 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 r)) (+ (* 2 (pow q 2)) (pow p 2))) r))
(/ (+ (* 1/2 (* p r)) (* 1/2 (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))))) r)
(/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)
(/ (- (+ (fabs (* p r)) (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 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))))
(fabs r)
(- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2)))
(/ (+ p (+ (fabs p) (fabs r))) r)
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r)
(/ (pow q 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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* 1/2 p) (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)))
(+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2)))))
(+ (* -1/2 (/ (+ (* -1/2 (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4)))) (* (- (fabs (* p r)) (pow p 2)) (- (pow p 2) (fabs (* p r))))) (pow r 3))) (+ (* 1/2 p) (+ (* 1/2 (/ (- (fabs (* p r)) (+ (* 2 (pow q 2)) (pow p 2))) r)) (* 1/2 (/ (- (pow p 3) (* 2 (* p (pow q 2)))) (pow r 2))))))
(- (+ p (/ (fabs (* p r)) r)) (+ (* 2 (/ (pow q 2) r)) (/ (pow p 2) 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
(* -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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 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) (* -1 p))))) r)) 1/2)))
r
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (- (* 1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* -1/2 (/ (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))) r))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow p 3) (* -2 (* p (pow q 2)))) r)) (* 1/2 (- (pow p 2) (+ (fabs (* p r)) (* 2 (pow q 2)))))) r)) (* -1/2 p)) r)) 1)))
(* -1 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* -1 (/ (fabs p) r)) (* -1 (/ (fabs r) r)))))))
(* -1 (* r (+ 1 (* -1 (/ (+ (* -2 (/ (pow q 2) r)) (* -1 (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (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 (/ (+ (* -1 p) (+ (* -1 (fabs p)) (* -1 (fabs r)))) r)) 1)
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -2 q)))
(* 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 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(* -1 q)
q
(* -1 (pow q 2))
(* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r)))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r))))
(- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r))
(- (+ p (+ (* -2 (/ (pow q 2) r)) (/ (fabs (* p r)) r))) (/ (pow p 2) r))
(/ (- (fabs (* p r)) (pow p 2)) r)
(- (+ (* -2 (/ (pow q 2) r)) (/ (fabs (* p r)) r)) (/ (pow p 2) r))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ 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)
(pow q 2)
(- (fabs (* p r)) (pow p 2))
(- (+ (fabs (* p r)) (* -2 (pow q 2))) (pow p 2))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)))) 1))
(* -1 (/ (pow q 2) r))
(* (pow q 2) (- (* 1/2 (/ (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r)) (pow q 2))) (/ 1 r)))
(* (pow q 2) (- (+ (/ p (pow q 2)) (/ (fabs (* p r)) (* (pow q 2) r))) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(* (pow q 2) (- (/ (fabs (* p r)) (* (pow q 2) r)) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* 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))))))
(* -2 (pow q 2))
(* (pow q 2) (- (/ (fabs (* p r)) (pow q 2)) (+ 2 (/ (pow p 2) (pow q 2)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) 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 r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* 2 q)
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(* -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
(- (+ (fabs p) (fabs r)) (* 2 q))
(+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 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 #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 p r) (-.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 p r) (-.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)))
(- (+ (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 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r)))) (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 (- (/ (pow r 3) (- (pow r 2) (fabs (* p 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 p r) (-.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) p) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 r r) (fabs.f64 (.f64 p r))) #s(literal 2 binary64)))) (.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 (pow.f64 r #s(literal 3 binary64)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (/ (pow r 3) (- (pow r 2) (fabs (* p r)))) (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)))))) (/ (pow r 3) (pow (- (pow r 2) (fabs (* p r))) 2)))) (* 1/2 (* p (- (/ 1 (- (pow r 2) (fabs (* p r)))) (* 1/2 (* (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))))))))
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(fma.f64 (neg.f64 p) p (fabs.f64 (*.f64 p r)))
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(-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (*.f64 p p)))
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(*.f64 (+.f64 (/.f64 (fabs.f64 r) q) (-.f64 (/.f64 (fabs.f64 p) q) #s(literal 2 binary64))) q)
(* 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)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 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) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #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))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/128 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)))) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) (*.f64 q q)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal -1 binary64)) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 r #s(literal 4 binary64)))) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) (*.f64 q q))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal -1 binary64)) q)
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (.f64 p r) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (fma.f64 (/.f64 (*.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 r #s(literal 3 binary64)) p) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 (.f64 p r) q) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))))) q)
(* q (- (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (*.f64 p r))))) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q))) 1))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (*.f64 p r))))) q) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #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 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p 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 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/128 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (*.f64 p r))))) q) #s(literal 1/2 binary64) #s(literal -1 binary64)))) q)
(* -1 (/ (pow q 2) r))
(/.f64 (*.f64 (neg.f64 q) q) r)
(* (pow q 2) (- (* 1/2 (/ (- (+ p (/ (fabs (* p r)) r)) (/ (pow p 2) r)) (pow q 2))) (/ 1 r)))
(.f64 (fma.f64 (/.f64 (+.f64 p (/.f64 (fma.f64 (neg.f64 p) p (fabs.f64 (.f64 p r))) r)) q) (/.f64 #s(literal 1/2 binary64) q) (/.f64 #s(literal -1 binary64) r)) (*.f64 q q))
(* (pow q 2) (- (+ (/ p (pow q 2)) (/ (fabs (* p r)) (* (pow q 2) r))) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(.f64 (fma.f64 (/.f64 (fabs.f64 p) (.f64 q q)) (/.f64 (fabs.f64 r) r) (-.f64 (/.f64 p (.f64 q q)) (fma.f64 (/.f64 p (.f64 q q)) (/.f64 p r) (/.f64 #s(literal 2 binary64) r)))) (*.f64 q q))
(* (pow q 2) (- (/ (fabs (* p r)) (* (pow q 2) r)) (+ (* 2 (/ 1 r)) (/ (pow p 2) (* (pow q 2) r)))))
(.f64 (-.f64 (/.f64 (fabs.f64 (.f64 p r)) (.f64 (.f64 q q) r)) (fma.f64 (/.f64 p (.f64 q q)) (/.f64 p r) (/.f64 #s(literal 2 binary64) r))) (.f64 q q))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(.f64 (fma.f64 r (/.f64 (+.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 (/.f64 p r) #s(literal 1 binary64))) (.f64 q q)) (/.f64 #s(literal -2 binary64) r)) (*.f64 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 (fabs.f64 r) q) (-.f64 (/.f64 (fabs.f64 p) q) #s(literal 2 binary64)))) 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 (-.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 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* -2 (pow q 2))
(.f64 #s(literal -2 binary64) (.f64 q q))
(* (pow q 2) (- (/ (fabs (* p r)) (pow q 2)) (+ 2 (/ (pow p 2) (pow q 2)))))
(.f64 (-.f64 (/.f64 (fabs.f64 (.f64 p r)) (.f64 q q)) (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 2 binary64))) (.f64 q 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 (- (* -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)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) 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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.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 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) 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 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 q q))))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* 2 q)
(*.f64 #s(literal 2 binary64) q)
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 q q))) (.f64 #s(literal 1/4 binary64) (*.f64 r r))) q)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1/2 (/ (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (*.f64 p r))))) 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r))))) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 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 (+ (/ (pow p 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r)))) (/ (pow r 3) (- (+ (pow p 2) (pow r 2)) (fabs (* p r))))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p r)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 p 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 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (-.f64 (/.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))) (neg.f64 q)) #s(literal 2 binary64)) (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 (/.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)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite334.0ms (3.7%)

Memory

-37.4MiB live, 212.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	505
0	122	493
1	611	479
2	5734	464
0	9316	396

Stop Event

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

Counts

24 → 449

Calls

Call 1

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

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

eval196.0ms (2.1%)

Memory: 29.6MiB live, 222.4MiB allocated
Compiler: Compiled 46 456 to 3 929 computations (91.5% saved)

prune105.0ms (1.2%)

Memory

-33.9MiB live, 94.4MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	757	13	770
Fresh	4	16	20
Picked	4	1	5
Done	0	2	2
Total	765	32	797

Accuracy

87.7%

Counts

797 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(.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)))))))
	15.3%	(.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)))))))
▶	21.2%	(.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)))))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
	19.6%	(.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 (.f64 (neg.f64 q) q) q) (.f64 (neg.f64 q) r)) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	11.1%	(.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) #s(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r))) r)))
	25.4%	(.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 (exp.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	27.3%	(.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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (.f64 (/.f64 q r) q) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	24.6%	(.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) (exp.f64 (.f64 (log.f64 (/.f64 r (*.f64 q q))) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 r #s(literal 2 binary64))))
	15.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 p #s(literal 2 binary64))))
	14.6%	#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 1 binary64) (/.f64 q (.f64 q q)))))
	28.1%	#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)) (exp.f64 (.f64 (log.f64 q) #s(literal 1 binary64)))))
	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) (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) q)))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (neg.f64 q) q) q))
▶	18.2%	#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))
	19.7%	#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)))
	21.6%	#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)))
	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))))
▶	7.1%	#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)))))
	11.8%	#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 (neg.f64 r) (fma.f64 (/.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) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) p))))))
▶	37.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	29.7%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))
	7.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	38.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	4.9%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (fabs.f64 (.f64 p r)) (.f64 r r)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 q q)) (.f64 r r) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 r r))) p) (/.f64 (.f64 r (fma.f64 r r (.f64 #s(literal -2 binary64) (.f64 q q)))) (*.f64 p p))) r))))
	20.8%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 #s(literal 1 binary64) (/.f64 r (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))))))))
	29.3%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (*.f64 (neg.f64 q) q) r)))

Compiler

Compiled 2 899 to 1 930 computations (33.4% saved)

simplify185.0ms (2%)

Memory

3.9MiB live, 159.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(-.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))))
cost-diff	192	(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))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	832	(.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)))))
cost-diff	0	(/.f64 q (*.f64 r r))
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)))))) (.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))
cost-diff	1408	(.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)
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	(fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	596
0	114	592
1	211	589
2	398	589
3	877	589
4	1824	587
5	4721	579
0	8350	563

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

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

localize374.0ms (4.1%)

Memory

21.9MiB live, 530.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	12.229390424044317	(/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))
accuracy	13.626199674652005	(-.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))))
accuracy	14.733489149357885	(/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))
accuracy	24.852703671734908	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	6.566437748909326	(/.f64 q (*.f64 r r))
accuracy	12.227770090187324	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	20.290767810404716	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	26.039426499789734	#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))
accuracy	0	(neg.f64 p)
accuracy	2.3548429314723287	(.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	30.785383998178165	#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	40.58260279058392	#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	43.156887267095165	#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	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	11.156800227219033	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
accuracy	18.607587960624844	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))

Samples

152.0ms	136×	1	valid
66.0ms	70×	2	exit
36.0ms	36×	2	valid
4.0ms	10×	0	valid
2.0ms	2×	3	valid
1.0ms	2×	1	exit

Compiler

Compiled 1 107 to 149 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 62.0ms (28.6% of total)

ival-add: 49.0ms (22.6% of total)

adjust: 42.0ms (19.4% of total)

ival-div: 20.0ms (9.2% of total)

ival-sub: 16.0ms (7.4% of total)

ival-sqrt: 15.0ms (6.9% of total)

ival-pow2: 7.0ms (3.2% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series63.0ms (0.7%)

Memory

31.5MiB live, 107.9MiB allocated

Counts

25 → 253

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (* q -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) (* (+ (* (neg q) (/ q (* r 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)))))) (neg q) (/ q (* r r)) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/ 1 2) (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (* r r) (- (fabs p) (fabs r))) (/ (* p p) (- (fabs p) (fabs r))))
10.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (* q -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) (* (+ (* (neg q) (/ q (* r 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)))))) (neg q) (/ q (* r r)) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/ 1 2) (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (* r r) (- (fabs p) (fabs r))) (/ (* p p) (- (fabs p) (fabs r))))
6.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (* q -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) (* (+ (* (neg q) (/ q (* r 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)))))) (neg q) (/ q (* r r)) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/ 1 2) (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (* r r) (- (fabs p) (fabs r))) (/ (* p p) (- (fabs p) (fabs r))))
5.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (* q -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) (* (+ (* (neg q) (/ q (* r 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)))))) (neg q) (/ q (* r r)) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/ 1 2) (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (* r r) (- (fabs p) (fabs r))) (/ (* p p) (- (fabs p) (fabs r))))
5.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (* q -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) (* (+ (* (neg q) (/ q (* r 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)))))) (neg q) (/ q (* r r)) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/ 1 2) (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ (* r r) (- (fabs p) (fabs r))) (/ (* p p) (- (fabs p) (fabs r))))

simplify198.0ms (2.2%)

Memory

-45.6MiB live, 284.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1131	7464
1	3516	7270
0	8244	6856

Stop Event

1×	iter limit
1×	node limit

Counts

253 → 250

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

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

rewrite167.0ms (1.8%)

Memory

35.1MiB live, 265.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	485
0	114	481
1	495	444
2	4159	444
0	8676	379

Stop Event

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

Counts

25 → 369

Calls

Call 1

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

Outputs
#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p))))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)))
(.f64 (-.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal -2 binary64) q)) (.f64 (.f64 q #s(literal 4 binary64)) q)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (.f64 (*.f64 q #s(literal 4 binary64)) q) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal -2 binary64) q)) (.f64 (*.f64 q #s(literal 4 binary64)) q)) (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) #s(literal 2 binary64)) (*.f64 r r)) (-.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) (fabs.f64 r)))
(/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (.f64 (.f64 q #s(literal 4 binary64)) q)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal -2 binary64) q)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) #s(literal 2 binary64)) (-.f64 (.f64 r r) (.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) (fabs.f64 r)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal -2 binary64) q)) (.f64 (*.f64 q #s(literal 4 binary64)) q))))
(/.f64 (-.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64))) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal -2 binary64) q)) (.f64 (*.f64 q #s(literal 4 binary64)) q)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (.f64 (*.f64 q #s(literal 4 binary64)) q) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal -2 binary64) q)) (.f64 (*.f64 q #s(literal 4 binary64)) q)) (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (fma.f64 p p (.f64 (neg.f64 r) r)) (fma.f64 p p (.f64 (neg.f64 r) r))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal -2 binary64) q))
(fma.f64 (/.f64 (fma.f64 p p (.f64 (neg.f64 r) r)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p p (fma.f64 r r (fabs.f64 (.f64 r p)))) (*.f64 #s(literal -2 binary64) q))
(fma.f64 (fma.f64 p p (.f64 (neg.f64 r) r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) q))
(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) q))
(fma.f64 (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (fma.f64 p p (.f64 (neg.f64 r) r)) (.f64 #s(literal -2 binary64) q))
(fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) q))
(fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 (fma.f64 (fabs.f64 p) (-.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 r r)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) q))
(fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p)))
(fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) q)))
(-.f64 (/.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (-.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p))
(+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)) (fabs.f64 r))
(+.f64 (*.f64 #s(literal -2 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (fabs.f64 r) (fma.f64 #s(literal -2 binary64) q (fabs.f64 p)))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) q)))
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal -2 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64)))
(*.f64 p #s(literal 1/2 binary64))
(*.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(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p)))
(.f64 (.f64 #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) #s(literal -1 binary64)) p)
(.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) p))
(.f64 #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (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 p (neg.f64 #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) p))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) p))
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 p p (*.f64 #s(literal 0 binary64) p))))
(/.f64 (*.f64 (neg.f64 p) p) (+.f64 #s(literal 0 binary64) p))
(neg.f64 p)
(-.f64 #s(literal 0 binary64) p)
(+.f64 #s(literal 0 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 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
(*.f64 r (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 q (.f64 r r)) q) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (.f64 (/.f64 (neg.f64 q) r) (/.f64 q r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)) (neg.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q #s(literal 4 binary64)) q)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (.f64 (.f64 q #s(literal 4 binary64)) q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 3 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) 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 (hypot.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)))
(pow.f64 (pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q #s(literal 4 binary64)) q))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 (*.f64 q #s(literal 4 binary64)) q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) q) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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))))))
(sqrt.f64 (pow.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r)) #s(literal 2 binary64)))
(hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r))
(hypot.f64 (-.f64 p r) (*.f64 #s(literal -2 binary64) q))
(exp.f64 (log.f64 (hypot.f64 (*.f64 #s(literal -2 binary64) q) (-.f64 p r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 p p (*.f64 (neg.f64 r) r))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(.f64 (/.f64 (.f64 r r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p p (fma.f64 r r (fabs.f64 (*.f64 r p)))))
(*.f64 (/.f64 r (-.f64 (fabs.f64 p) (fabs.f64 r))) r)
(*.f64 (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (.f64 r r))
(.f64 (.f64 (neg.f64 r) r) (pow.f64 (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -1 binary64)))
(.f64 (.f64 r r) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)))
(*.f64 r (/.f64 r (-.f64 (fabs.f64 p) (fabs.f64 r))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r))))
(pow.f64 (/.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) r)) (neg.f64 (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)))))
(/.f64 (.f64 (.f64 r r) #s(literal 1 binary64)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (*.f64 (neg.f64 r) r) (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64)))))
(/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) r) (-.f64 (fabs.f64 p) (fabs.f64 r))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 p p) (fma.f64 p p (*.f64 (neg.f64 r) r))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(.f64 (/.f64 (.f64 p p) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 p p (fma.f64 r r (fabs.f64 (*.f64 r p)))))
(*.f64 (/.f64 p (-.f64 (fabs.f64 p) (fabs.f64 r))) p)
(*.f64 (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (.f64 p p))
(.f64 (.f64 (neg.f64 p) p) (pow.f64 (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -1 binary64)))
(.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)))
(*.f64 p (/.f64 p (-.f64 (fabs.f64 p) (fabs.f64 r))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))))
(pow.f64 (/.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 p) p)) (neg.f64 (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)))))
(/.f64 (.f64 (.f64 p p) #s(literal 1 binary64)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (*.f64 (neg.f64 p) p) (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r))))
(/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 p) p) (-.f64 (fabs.f64 p) (fabs.f64 r))))
(neg.f64 (/.f64 (*.f64 p p) (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 p #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval121.0ms (1.3%)

Memory: -12.3MiB live, 197.3MiB allocated
Compiler: Compiled 37 100 to 3 123 computations (91.6% saved)

prune51.0ms (0.6%)

Memory

-10.6MiB live, 106.7MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	635	12	647
Fresh	7	17	24
Picked	2	3	5
Done	0	3	3
Total	644	35	679

Accuracy

88.0%

Counts

679 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(.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)))))))
	15.3%	(.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)))))))
	34.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 r) r) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r)))))
	11.1%	(.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) #s(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r))) r)))
	25.4%	(.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 (exp.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	24.6%	(.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) (exp.f64 (.f64 (log.f64 (/.f64 r (*.f64 q q))) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 r #s(literal 2 binary64))))
	55.4%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64))
	6.7%	#s(approx (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r))))
	9.8%	#s(approx (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) r)) (.f64 r r)))
	14.6%	#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 1 binary64) (/.f64 q (.f64 q q)))))
	28.1%	#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)) (exp.f64 (.f64 (log.f64 q) #s(literal 1 binary64)))))
	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) (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) q)))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (neg.f64 q) q) q))
	33.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	21.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 (/.f64 q 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))
	16.1%	#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 #s(approx (+ (+ (fabs r) p) (fabs p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	10.3%	#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
	21.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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))
	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (.f64 (neg.f64 p) p) (+.f64 #s(literal 0 binary64) p)) #s(approx (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	19.7%	#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)))
	21.6%	#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)))
	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))))
✓	7.1%	#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)))))
✓	37.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	40.0%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
	7.2%	#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	38.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	29.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (*.f64 (neg.f64 q) q) r)))
	4.9%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (fabs.f64 (.f64 p r)) (.f64 r r)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 q q)) (.f64 r r) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 r r))) p) (/.f64 (.f64 r (fma.f64 r r (.f64 #s(literal -2 binary64) (.f64 q q)))) (*.f64 p p))) r))))
	20.8%	#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 #s(literal 1 binary64) (/.f64 r (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))))))))

Compiler

Compiled 4 902 to 1 577 computations (67.8% saved)

regimes200.0ms (2.2%)

Memory

5.9MiB live, 162.8MiB allocated

Counts

69 → 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 (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (*.f64 (neg.f64 q) q) r)))
#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 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 (*.f64 (neg.f64 q) 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 r #s(literal 2 binary64))))
#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)))))
#s(approx (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r r)) (-.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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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 (+.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))))
#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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 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)))))) (.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)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (.f64 (neg.f64 p) p) (+.f64 #s(literal 0 binary64) 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) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) r)) (.f64 r r)))
#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r))))
#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
(.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 #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) (.f64 q q)) (/.f64 #s(literal 1 binary64) (/.f64 q (.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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.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 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (+.f64 (fabs.f64 r) (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 (/.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) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 #s(literal 1 binary64) (/.f64 r (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))))))))
#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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 (/.f64 q 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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) 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 (-.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)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 p r) (/.f64 #s(literal -2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))))
(.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) #s(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.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 (neg.f64 r) (fma.f64 (/.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) #s(literal -1 binary64) (/.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 (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)))
(.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 r) q) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 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)))
(.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 (.f64 (neg.f64 q) q) q) (.f64 (neg.f64 q) r)) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64))
#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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) 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)))))))
(.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)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) q)))
#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)) (exp.f64 (.f64 (log.f64 q) #s(literal 1 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)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 r) r) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p 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 (exp.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 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) (exp.f64 (.f64 (log.f64 (/.f64 r (*.f64 q q))) #s(literal -1 binary64))) (-.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) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (fabs.f64 (.f64 p r)) (.f64 r r)) (-.f64 (.f64 r r) (fabs.f64 (.f64 p r))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 q q)) (.f64 r r) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 r r))) p) (/.f64 (.f64 r (fma.f64 r r (.f64 #s(literal -2 binary64) (.f64 q q)))) (*.f64 p p))) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (/.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 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 r r (.f64 p p)) (fabs.f64 (.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)))))))
(.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 (-.f64 (.f64 r r) (.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (-.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (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 (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)) (neg.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 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (fabs.f64 (.f64 r p)) (.f64 r r)) (-.f64 (.f64 r r) (fabs.f64 (.f64 r p))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 q q)) (.f64 r r) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 r r))) p) (/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (.f64 (.f64 (.f64 q q) #s(literal 2 binary64)) r)) (.f64 p p))) (*.f64 #s(literal 1/2 binary64) r))))
(/.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)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (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))))))

Outputs

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

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

Calls

7 calls:

49.0ms	p
41.0ms	(pow.f64 q #s(literal 2 binary64))
33.0ms	q
22.0ms	(-.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))))))
18.0ms	r

Results

Accuracy	Segments	Branch
64.3%	3	`p`
66.9%	4	`r`
67.2%	2	`q`
62.2%	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)))))))`
62.2%	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))))))`
67.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
67.2%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes48.0ms (0.5%)

Memory

15.7MiB live, 63.2MiB allocated

Counts

48 → 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 (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (*.f64 (neg.f64 q) q) r)))
#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 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 (*.f64 (neg.f64 q) 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (*.f64 r #s(literal 2 binary64))))
#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)))))
#s(approx (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r r)) (-.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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) 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 (+.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))))
#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 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 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)))))) (.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)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (.f64 (neg.f64 p) p) (+.f64 #s(literal 0 binary64) 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) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) r)) (.f64 r r)))
#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 (-.f64 (fabs.f64 (.f64 r p)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))) r))))
#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
(.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 #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) (.f64 q q)) (/.f64 #s(literal 1 binary64) (/.f64 q (.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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.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 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (+.f64 (fabs.f64 r) (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 (/.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) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (/.f64 #s(literal 1 binary64) (/.f64 r (-.f64 (fabs.f64 (.f64 p r)) (fma.f64 (.f64 q q) #s(literal 2 binary64) (.f64 p p))))))))
#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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 (/.f64 q 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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) 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 (-.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)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 p r) (/.f64 #s(literal -2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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))))
(.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) #s(approx (- (+ (/ (fabs r) r) (/ (fabs p) r)) (- 1 (/ p r))) (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.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 (neg.f64 r) (fma.f64 (/.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) #s(literal -1 binary64) (/.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 (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)))
(.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 r) q) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 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)))
(.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 (.f64 (neg.f64 q) q) q) (.f64 (neg.f64 q) r)) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))

Outputs

#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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.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)))))) (neg.f64 q))

Calls

3 calls:

20.0ms	(pow.f64 q #s(literal 2 binary64))
13.0ms	q
12.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.3%	2	`q`
66.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
66.3%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes27.0ms (0.3%)

Memory

-14.8MiB live, 24.2MiB 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 (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (*.f64 (neg.f64 q) q) r)))

Outputs

#s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (*.f64 (neg.f64 q) q) r)))

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

Calls

7 calls:

10.0ms	(pow.f64 q #s(literal 2 binary64))
3.0ms	q
3.0ms	r
3.0ms	p
3.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
47.9%	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)))))))`
47.9%	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))))))`
42.5%	2	`p`
48.6%	2	`r`
52.2%	2	`q`
52.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
52.2%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes21.0ms (0.2%)

Memory

-10.7MiB live, 28.7MiB allocated

Accuracy

Total -23.4b remaining (-59%)

Threshold costs -23.4b (-59%)

Counts

5 → 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))

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

Calls

7 calls:

7.0ms	(.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)))))))
2.0ms	p
2.0ms	q
2.0ms	r
2.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
38.1%	1	`p`
38.1%	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)))))))`
38.1%	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))))))`
38.1%	1	`r`
38.1%	1	`q`
38.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.1%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.820187653687754e-44	6.54100111770937e-36

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.820187653687754e-44	6.54100111770937e-36

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	18370438.453979496	49041686253.14385

Compiler

Compiled 25 to 25 computations (0% saved)

simplify43.0ms (0.5%)

Memory

3.8MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	300
1	102	300
2	115	300
3	125	300
4	130	300
5	131	300

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000 binary64)) #s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (.f64 (neg.f64 q) q) r))) #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 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p))) #s(literal 1/2 binary64))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (.f64 #s(literal -2 binary64) q) (-.f64 p r))) #s(literal 1/2 binary64)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000 binary64)) #s(approx (* (/ 1 2) (+ (* (+ (pow r 3) (pow p 3)) (/ 1 (- (+ (* r r) (* p p)) (fabs (* r p))))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) #s(approx (* 1/2 (+ p (/ (- (fabs (* r p)) (+ (* (* q q) 2) (* p p))) r))) (/.f64 (.f64 (neg.f64 q) q) r))) #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))

soundness978.0ms (10.7%)

Memory

-9.0MiB live, 750.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	505
0	122	493
1	611	479
2	5734	464
0	9316	396
0	76	485
0	114	481
1	495	444
2	4159	444
0	8676	379
0	1131	7464
1	3516	7270
0	8244	6856
0	620	3263
1	1907	3082
2	6170	3054
0	8467	2844
0	1054	6053
1	3209	5901
0	8046	5540
0	18	75
0	31	75
1	109	75
2	796	75
0	8636	71
0	1316	8109
1	4053	8025
0	8413	7542

Stop Event

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

Compiler

Compiled 495 to 229 computations (53.7% saved)

preprocess82.0ms (0.9%)

Memory: 16.9MiB live, 137.1MiB allocated
Remove: (abs q)
Compiler: Compiled 1 202 to 510 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.3s (24.7%)

explain257.0ms (2.8%)

preprocess217.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify164.0ms (1.8%)

localize73.0ms (0.8%)

series33.0ms (0.4%)

simplify348.0ms (3.8%)

rewrite230.0ms (2.5%)

eval139.0ms (1.5%)

prune106.0ms (1.2%)

simplify109.0ms (1.2%)

localize354.0ms (3.9%)

series60.0ms (0.7%)

simplify196.0ms (2.1%)

rewrite203.0ms (2.2%)

eval189.0ms (2.1%)

prune125.0ms (1.4%)

simplify140.0ms (1.5%)

localize431.0ms (4.7%)

series49.0ms (0.5%)

simplify276.0ms (3%)

rewrite334.0ms (3.7%)

eval196.0ms (2.1%)

prune105.0ms (1.2%)

simplify185.0ms (2%)

localize374.0ms (4.1%)

series63.0ms (0.7%)

simplify198.0ms (2.2%)

rewrite167.0ms (1.8%)

eval121.0ms (1.3%)

prune51.0ms (0.6%)

regimes200.0ms (2.2%)

regimes48.0ms (0.5%)

regimes27.0ms (0.3%)

regimes21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.5%)

soundness978.0ms (10.7%)

preprocess82.0ms (0.9%)

end0.0ms (0%)

Profiling