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)

sample2.7s (28.4%)

Memory

-106.4MiB live, 4 025.4MiB allocated

Samples

897.0ms	2 245×	2	valid
720.0ms	3 115×	1	valid
379.0ms	2 896×	0	valid

Precisions

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

ival-pow2: 262.0ms (19.5% of total)

adjust: 245.0ms (18.2% of total)

ival-add: 191.0ms (14.2% of total)

ival-mult: 175.0ms (13% of total)

ival-sub: 172.0ms (12.8% of total)

ival-sqrt: 127.0ms (9.4% of total)

ival-fabs: 89.0ms (6.6% of total)

ival-div: 62.0ms (4.6% of total)

exact: 13.0ms (1% of total)

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

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

Bogosity

explain277.0ms (2.9%)

Memory

15.8MiB live, 562.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
166	-	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
131	-	-	`(-.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	165	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	165
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	130
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	61
`-.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	131	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	1	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	1
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	54
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	11
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	54

Confusion

	Predicted +	Predicted -
+	211	0
-	0	45

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	211	0	0
-	0	0	45

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	45
1	125
2	86

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	160×	2	valid
41.0ms	176×	1	valid
22.0ms	176×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-pow2: 17.0ms (20.5% of total)

adjust: 14.0ms (16.9% of total)

ival-add: 13.0ms (15.7% of total)

ival-mult: 12.0ms (14.5% of total)

ival-sub: 10.0ms (12.1% of total)

ival-sqrt: 8.0ms (9.7% of total)

ival-fabs: 5.0ms (6% of total)

ival-div: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess223.0ms (2.3%)

Memory

9.2MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	1460	180
4	3733	180
5	5610	180
6	7519	180
0	18	20
0	31	20
1	45	20
2	80	20
3	170	20
4	345	20
5	797	20
6	1614	20
7	3207	20
8	4101	20
9	4385	20
10	4475	20
11	4479	20
12	4479	20
13	4601	20
14	4625	20
15	4625	20
0	4625	19

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

21.6%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify153.0ms (1.6%)

Memory

-5.6MiB live, 70.6MiB 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	797	93
6	1614	93
7	3207	93
8	4101	93
9	4385	93
10	4475	93
11	4479	93
12	4479	93
13	4601	93
14	4625	93
15	4625	93
0	4625	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

localize99.0ms (1%)

Memory

22.1MiB live, 178.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.015625	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	30.41424721426523	(-.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	38.45503730293881	(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

49.0ms	80×	2	valid
20.0ms	88×	1	valid
12.0ms	88×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

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

adjust: 29.0ms (47.3% of total)

ival-pow2: 8.0ms (13% of total)

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

ival-sub: 5.0ms (8.2% of total)

ival-add: 5.0ms (8.2% of total)

ival-sqrt: 4.0ms (6.5% of total)

ival-fabs: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-4.9MiB live, 33.7MiB allocated

Counts

8 → 129

Calls

Call 1

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

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

Calls

9 calls:

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

simplify198.0ms (2.1%)

Memory

14.4MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3263
1	1907	3082
2	6214	2946
0	8129	2747

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

rewrite249.0ms (2.6%)

Memory

-3.9MiB live, 343.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	31	75
1	109	75
2	796	75
0	8700	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)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (*.f64 q q)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
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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)))

eval72.0ms (0.7%)

Memory: 10.1MiB live, 161.7MiB allocated
Compiler: Compiled 21 372 to 2 395 computations (88.8% saved)

prune39.0ms (0.4%)

Memory

18.3MiB live, 100.7MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	463	30	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	30	494

Accuracy

64.1%

Counts

494 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	15.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 p) p (.f64 r r)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	15.2%	(.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)))))))
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	16.2%	(.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))))
	14.2%	(.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)))))))
	9.2%	(.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)))))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (.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))))))))))
▶	18.4%	(.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)))))
	19.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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 (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))))))
	18.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) (+.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	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)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p (neg.f64 p)))))
	15.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
	20.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	16.4%	(.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 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	16.8%	#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 r r)))) p) (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 (+.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))))
	15.7%	#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))
	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	18.6%	#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))
▶	21.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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))
	18.3%	#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)))
▶	17.9%	#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)))
	12.7%	#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))))
	13.3%	#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 (.f64 q q) p)) p))))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	34.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 440 to 1 558 computations (36.1% saved)

simplify303.0ms (3.1%)

Memory

-1.3MiB live, 223.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.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	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	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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))
cost-diff	128	(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q 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)))
cost-diff	704	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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)
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
cost-diff	0	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	(*.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: 0 (0.0ms)

Iter	Nodes	Cost
0	59	503
0	98	499
1	168	493
2	342	493
3	872	493
4	2457	489
0	8121	483

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

localize468.0ms (4.9%)

Memory

14.6MiB live, 652.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	13.702335161578546	(-.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	16.090096293712325	(/.f64 (*.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))
accuracy	17.809065963969218	(/.f64 (*.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))
accuracy	31.457211411215596	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	6.34326660753654	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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)
accuracy	9.488943169512002	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	23.068720624448485	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	32.09216671355076	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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))
accuracy	0.0	(fabs.f64 p)
accuracy	13.653648696980198	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	24.682945950742276	#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)))
accuracy	25.563288240945415	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	50.13137661071895	#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	0.0	(neg.f64 q)
accuracy	30.01745241001118	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

160.0ms	151×	1	valid
119.0ms	48×	2	valid
49.0ms	46×	2	exit
3.0ms	7×	0	valid
3.0ms	4×	1	exit

Compiler

Compiled 994 to 119 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-div: 60.0ms (24.9% of total)

ival-mult: 53.0ms (22% of total)

adjust: 48.0ms (20% of total)

ival-add: 32.0ms (13.3% of total)

ival-sqrt: 15.0ms (6.2% of total)

ival-sub: 15.0ms (6.2% of total)

ival-pow2: 10.0ms (4.2% of total)

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

ival-neg: 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)

series67.0ms (0.7%)

Memory

-22.2MiB live, 133.5MiB allocated

Counts

23 → 277

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)
#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)))
(.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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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)
(fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q 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)))
(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q 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))
(/.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))))
(.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)))))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fabs.f64 p)
(+.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))))))))))
(* -1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(* -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))))
(* 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))))))))))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fabs p)
(+ 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)))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* (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)))))))
(* 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))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (+ 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)))))))
(* 1/2 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 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* (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)))))
(* (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))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (- (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(+ (* -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)))))
(* 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))))))))))
(* 1/2 (/ (+ 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))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -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)
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2))
(* -1 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 (/ (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
(* 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 (* -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)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -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)))))
(* (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 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 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(+ (* -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))))
(* 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)))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- 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 (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* 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)))))))
(* 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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (+ 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 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -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 (- (* -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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (+ 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
10.0ms	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) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (fabs r) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 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)))) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (sqrt (+ (* (* q q) 4) (* p p))) (fabs p) (+ (+ (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	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) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (fabs r) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 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)))) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (sqrt (+ (* (* q q) 4) (* p p))) (fabs p) (+ (+ (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))))
8.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (fabs r) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 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)))) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (sqrt (+ (* (* q q) 4) (* p p))) (fabs p) (+ (+ (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))))
8.0ms	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) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (fabs r) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 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)))) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (sqrt (+ (* (* q q) 4) (* p p))) (fabs p) (+ (+ (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))))
8.0ms	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) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (fabs r) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 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)))) (* (/ 1 2) (- (+ (* -1 (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ (* p p) (- (fabs p) (fabs r)))) (/ (* r r) (- (fabs p) (fabs r))))) (sqrt (+ (* (* q q) 4) (* p p))) (fabs p) (+ (+ (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))))

simplify215.0ms (2.2%)

Memory

23.0MiB live, 339.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1172	7926
1	3612	7692
0	8655	7291

Stop Event

1×	iter limit
1×	node limit

Counts

277 → 274

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)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(* -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))))
(* 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))))))))))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fabs p)
(+ 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)))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* (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)))))))
(* 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))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (+ 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)))))))
(* 1/2 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 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* (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)))))
(* (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))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (- (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(+ (* -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)))))
(* 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))))))))))
(* 1/2 (/ (+ 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))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -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)
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2))
(* -1 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 (/ (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
(* 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 (* -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)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -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)))))
(* (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 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 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(+ (* -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))))
(* 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)))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- 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 (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* 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)))))))
(* 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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (+ 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 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -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 (- (* -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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (+ 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)))
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 p p) q) #s(literal -1/8 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal 1/128 binary64) (/.f64 #s(literal -1/8 binary64) q)) (.f64 p p) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal -1/1024 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal -1/8 binary64) q)) (.f64 p p) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(-.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) q)) (.f64 p p) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal -1/4 binary64) q)) (.f64 p p) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 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)
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) r) p (.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 (/ (pow q 2) (pow r 2))) (* 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) (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) #s(literal -1/2 binary64)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) p (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (*.f64 r r)))) #s(literal 1/2 binary64))
(/ (pow q 2) (pow r 2))
(*.f64 (/.f64 q r) (/.f64 q r))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(fma.f64 (/.f64 q r) (/.f64 q r) (/.f64 (.f64 (.f64 q q) p) (pow.f64 r #s(literal 3 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)))))
(* 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)))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p p) q) (.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
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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 (/ (+ (* 1/8 (/ (pow p 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 #s(literal 1/8 binary64) (/.f64 (.f64 p p) q))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 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 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/8 binary64))) (neg.f64 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) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p p) q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (pow p 2) (* q (- (fabs p) (fabs r))))) 2)))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) q) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow p 2) (- (fabs p) (fabs r)))) q)) 2)))
(.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)))) (neg.f64 q)) #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)))) q)) 2)))
(.f64 (fma.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)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (- (/ (pow p 2) (- (fabs p) (fabs r))) (/ (pow r 2) (- (fabs p) (fabs r)))) q)) 2)))
(.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 (- (* -1/2 (/ (- (/ (pow p 2) (- (fabs p) (fabs r))) (/ (pow r 2) (- (fabs p) (fabs r)))) q)) 1)))
(.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 -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -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)))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) 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 2) (- (fabs p) (fabs r))) (/ (pow r 2) (- (fabs p) (fabs r)))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) q)
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(* -1 (* q (+ 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 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #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))

rewrite238.0ms (2.5%)

Memory

-32.0MiB live, 355.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	394
0	98	382
1	405	348
2	3476	348
0	9644	348

Stop Event

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

Counts

23 → 656

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

eval282.0ms (2.9%)

Memory: 11.2MiB live, 315.4MiB allocated
Compiler: Compiled 56 587 to 4 573 computations (91.9% saved)

prune133.0ms (1.4%)

Memory

-22.5MiB live, 188.2MiB allocated

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	923	28	951
Fresh	14	11	25
Picked	2	3	5
Done	0	0	0
Total	939	42	981

Accuracy

80.4%

Counts

981 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	14.2%	(.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)))))))
	9.2%	(.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)))))))
	19.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (neg.f64 r) (/.f64 r (-.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)))))))
	16.0%	(.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 (.f64 r r) (fma.f64 p p (.f64 (neg.f64 r) r))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
	9.3%	(.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)))) (exp.f64 (.f64 (log.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64)))) #s(literal -1 binary64)))))
	20.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	16.4%	(.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 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	8.3%	#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 p p)) (-.f64 (fabs.f64 p) (fabs.f64 r))))
	6.3%	#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))))
	6.4%	#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 (-.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 r) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)) p)) (.f64 p p)))
	9.2%	#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) r) (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (.f64 r r)))
	27.2%	#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)))
	16.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
▶	14.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
▶	31.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)))
	25.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (neg.f64 (/.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))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	18.6%	#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))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	21.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (/.f64 r q)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	21.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) 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))
▶	23.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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))
	8.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 2 binary64)) (.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))) #s(literal 1/2 binary64)))
	16.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) #s(literal 1/2 binary64)))
	16.6%	#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)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	18.3%	#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)))
✓	17.9%	#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)))
	11.1%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)) (neg.f64 p)))) #s(literal 1/2 binary64)))
▶	33.9%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (-.f64 (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64) (/.f64 (*.f64 q q) r)) (neg.f64 r)) #s(literal 1/2 binary64))) r))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 r r)))) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) #s(literal -1/2 binary64)) r))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) 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) p))
✓	34.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	9.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (*.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))))
	11.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)) (neg.f64 p))))
	18.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	22.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))))

Compiler

Compiled 4 101 to 2 665 computations (35% saved)

simplify117.0ms (1.2%)

Memory

37.0MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 r r (*.f64 (neg.f64 p) p))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	128	(.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	6208	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
cost-diff	0	#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	0	(.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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))
cost-diff	192	(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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)))
cost-diff	0	(/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p)
cost-diff	0	(fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64))))
cost-diff	0	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p 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 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	604
0	107	604
1	182	601
2	366	595
3	910	595
4	2215	595
5	6703	587
0	8167	576

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

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

localize262.0ms (2.7%)

Memory

-12.6MiB live, 462.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24999724760556022	(fma.f64 r r (*.f64 (neg.f64 p) p))
accuracy	7.688687924953964	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	9.26391725679673	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	11.8746397044387	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
accuracy	1.8633253226544613	(.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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)
accuracy	8.878471151969148	#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r)))
accuracy	14.678577729833322	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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))
accuracy	15.731434706172132	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	0.00390625	(/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p)
accuracy	5.307961463985057	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))
accuracy	8.77635119443727	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)))
accuracy	10.348101250637331	(fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	17.097261905977188	#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	0.0	(fabs.f64 p)
accuracy	7.688687924953964	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	10.419184511321115	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64))))
accuracy	11.085182784187282	#s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))

Samples

139.0ms	185×	1	exit
39.0ms	35×	2	valid
26.0ms	30×	1	valid
2.0ms	5×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 1 110 to 134 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

adjust: 69.0ms (41% of total)

ival-mult: 38.0ms (22.6% of total)

ival-add: 20.0ms (11.9% of total)

ival-div: 11.0ms (6.5% of total)

ival-sub: 7.0ms (4.2% of total)

ival-pow2: 6.0ms (3.6% of total)

ival-pow: 6.0ms (3.6% of total)

ival-sqrt: 5.0ms (3% of total)

ival-fabs: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series38.0ms (0.4%)

Memory

2.3MiB live, 78.8MiB allocated

Counts

22 → 222

Calls

Call 1

Inputs
#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)))
(fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p)
(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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))
(.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q 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 (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r)))
(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
(.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(fma.f64 r r (*.f64 (neg.f64 p) p))
#s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))
(fabs.f64 p)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(* 1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(/ (- (+ (fabs p) (fabs r)) r) p)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))
(- (+ (* -1 (* (pow p 2) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(- (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(- (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q)))
(+ (* -1/2 (* (pow p 2) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))) (* (pow p 2) (+ (* -1/2 (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p))))) (* 1/128 (/ (pow p 2) (pow q 3))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))) (* (pow p 2) (+ (* -1/2 (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p))))) (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))))))
(pow r 2)
(+ (* -1 (pow p 2)) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fabs p)
(+ p (+ (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))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* -1 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (* 1/2 (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (pow r 2) (* p (- (fabs r) (fabs p))))) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (pow r 2) (* p (- (fabs r) (fabs p))))) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (- (+ (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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(/ (+ (fabs p) (fabs r)) p)
(+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ r p))
(* r (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 p)))
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -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)
(* 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))
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2))
(/ (pow r 2) (- (fabs r) (fabs p)))
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (* (/ 1 (pow r 2)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p))))
(* (pow r 2) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ 1 (* -1 (/ (pow p 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 (/ (* 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 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -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)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs 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 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)
(- (+ (* -2 (/ (pow q 2) p)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)))
(+ (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(* -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))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow p 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow p 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
q
(* -1 (* 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 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow p 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

Calls

9 calls:

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

simplify194.0ms (2%)

Memory

10.7MiB live, 285.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	5321
1	2689	5127
0	8408	4905

Stop Event

1×	iter limit
1×	node limit

Counts

222 → 220

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 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(* 1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(/ (- (+ (fabs p) (fabs r)) r) p)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))
(- (+ (* -1 (* (pow p 2) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(- (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(- (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (* 2 q))
(* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q)))
(+ (* -1/2 (* (pow p 2) (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p)))))) (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))) (* (pow p 2) (+ (* -1/2 (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p))))) (* 1/128 (/ (pow p 2) (pow q 3))))))
(+ (* 1/2 (- (/ (pow r 2) (- (fabs r) (fabs p))) (* 2 q))) (* (pow p 2) (+ (* -1/2 (+ (* 1/4 (/ 1 q)) (/ 1 (- (fabs r) (fabs p))))) (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))))))
(pow r 2)
(+ (* -1 (pow p 2)) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fabs p)
(+ p (+ (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))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* -1 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* -1/2 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (* 1/2 (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -1 (/ (pow q 2) (pow p 3))) (* 1/2 (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))))) (+ (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p)))))))
(* -1 (pow p 2))
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (pow r 2) (* p (- (fabs r) (fabs p))))) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* 1/2 (/ 1 p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1/2 (/ (pow r 2) (* p (- (fabs r) (fabs p))))) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))) (/ (pow q 2) p)) p)) 1/2) p)) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (- (+ (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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(/ (+ (fabs p) (fabs r)) p)
(+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ (pow r 2) (- (fabs r) (fabs p)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ r p))
(* r (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 p)))
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -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)
(* 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))
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2))
(/ (pow r 2) (- (fabs r) (fabs p)))
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (* (/ 1 (pow r 2)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* 1/2 (/ (pow r 2) (- (fabs r) (fabs p))))
(* (pow r 2) (+ (* 1/2 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (pow r 2))) (* 1/2 (/ 1 (- (fabs r) (fabs p))))))
(* (pow r 2) (+ 1 (* -1 (/ (pow p 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 (/ (* 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 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -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)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs 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 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)
(- (+ (* -2 (/ (pow q 2) p)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)))
(+ (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(* -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))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow p 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow p 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
q
(* -1 (* 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 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow p 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

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 (.f64 #s(literal -1/4 binary64) 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 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) 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 1/2 binary64) r)) (.f64 (.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)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal -1/4 binary64) p))) 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)) (* 2 q)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 p p) q) #s(literal -1/8 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64))) p) p (/.f64 #s(literal -1/8 binary64) q)) (.f64 p p) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal -1/1024 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal -1/8 binary64) q)) (.f64 p p) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(-.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64))) p) p (/.f64 #s(literal -1/4 binary64) q)) (.f64 p p) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal -1/4 binary64) q)) (.f64 p p) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(+ (fabs p) (fabs r))
(+.f64 (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 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) 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)
(/ (- (+ (fabs p) (fabs r)) r) p)
(/.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) p)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 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) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) p (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) (*.f64 (neg.f64 r) r)))) #s(literal 1/2 binary64))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
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(* -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 (/ (+ (* 1/8 (/ (pow p 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 #s(literal 1/8 binary64) (/.f64 (.f64 p p) q))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 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 -1/8 binary64) p) p (*.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) (neg.f64 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) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) q) p) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow p 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) q) p) p (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1/2 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (*.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) q) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 p p) q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 r) (fabs.f64 p)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) p) p (*.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64))) q)
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))

rewrite296.0ms (3.1%)

Memory

14.4MiB live, 522.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	475
0	107	459
1	429	426
2	3576	426
0	11277	421

Stop Event

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

Counts

22 → 430

Calls

Call 1

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

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

eval140.0ms (1.5%)

Memory: -7.6MiB live, 287.8MiB allocated
Compiler: Compiled 44 265 to 3 499 computations (92.1% saved)

prune85.0ms (0.9%)

Memory

-21.0MiB live, 138.2MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	670	10	680
Fresh	9	25	34
Picked	3	2	5
Done	0	3	3
Total	682	40	722

Accuracy

88.4%

Counts

722 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	14.2%	(.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)))))))
	9.2%	(.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)))))))
	19.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (neg.f64 r) (/.f64 r (-.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)))))))
	16.0%	(.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 (.f64 r r) (fma.f64 p p (.f64 (neg.f64 r) r))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
	9.3%	(.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)))) (exp.f64 (.f64 (log.f64 (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal -2 binary64)))) #s(literal -1 binary64)))))
	20.7%	(.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)))
	8.3%	#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 p p)) (-.f64 (fabs.f64 p) (fabs.f64 r))))
	6.3%	#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))))
	27.2%	#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)))
▶	16.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
▶	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) (neg.f64 p)))
	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (+ ( r r) (* (neg p) p)) (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (log.f64 (/.f64 q r))) (exp.f64 (log.f64 (/.f64 q r))) (.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	21.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (/.f64 r q)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	21.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) 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))
	31.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.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))
	8.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 2 binary64)) (.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))) #s(literal 1/2 binary64)))
	16.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) #s(literal 1/2 binary64)))
	16.6%	#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)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	18.3%	#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)))
✓	17.9%	#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)))
	11.1%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)) (neg.f64 p)))) #s(literal 1/2 binary64)))
✓	33.9%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	8.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p)))
	11.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) (neg.f64 p)))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 r r)))) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) #s(literal -1/2 binary64)) r))
▶	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) 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) p))
✓	34.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	11.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)) (neg.f64 p))))
	12.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64))))
▶	43.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
	4.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (* r r) (* (neg p) p)) (pow (- (fabs r) (fabs p)) -1)) (neg (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)) p) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 p p))))
▶	25.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal -1 binary64)) r) q) q (.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))))
	18.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	22.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (.f64 (neg.f64 q) q))))

Compiler

Compiled 3 908 to 2 529 computations (35.3% saved)

simplify164.0ms (1.7%)

Memory

9.3MiB live, 199.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	657
0	120	651
1	226	643
2	491	643
3	1517	643
4	4872	637
0	8442	628

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

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

localize322.0ms (3.3%)

Memory

21.9MiB live, 383.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.40234375000000006	(-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.6270898233867752	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
accuracy	0.6992846626679693	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.704853920962378	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))
accuracy	0.0078125	(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal -1 binary64)) r) q)
accuracy	0.08768520093821627	(fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	0.4199758990182339	(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
accuracy	0.49455713444986116	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 p r) #s(literal -1 binary64)) r) q) q (.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))))
accuracy	0.00390625	(*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) (neg.f64 p))
accuracy	0.10028336925083449	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)
accuracy	0.40043978912219236	(fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))
accuracy	0.4912245929463054	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) (neg.f64 p)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	1.189679168868909	#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	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
accuracy	0.4912245929463054	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))

Samples

176.0ms	251×	1	exit
2.0ms	5×	0	valid

Compiler

Compiled 1 171 to 159 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 41.0ms (27.4% of total)

adjust: 38.0ms (25.4% of total)

ival-div: 26.0ms (17.4% of total)

ival-add: 23.0ms (15.4% of total)

ival-pow2: 7.0ms (4.7% of total)

ival-sub: 6.0ms (4% of total)

ival-sqrt: 4.0ms (2.7% of total)

ival-fabs: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series65.0ms (0.7%)

Memory

9.7MiB live, 124.8MiB allocated

Counts

24 → 179

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (neg p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (- (+ (fabs p) (fabs r)) r) (+ (* -1 (/ p r)) -1) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (+ (sqrt (+ (* (* q q) 4) (* p p))) (+ (fabs p) (fabs r)))) (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) (fabs p) (fabs r) (+ (+ p (fabs r)) (fabs p)) (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) (* (/ (+ (* -1 (/ p r)) -1) r) q) (sqrt (+ (* (* q q) 4) (* p p))))
11.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (neg p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (- (+ (fabs p) (fabs r)) r) (+ (* -1 (/ p r)) -1) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (+ (sqrt (+ (* (* q q) 4) (* p p))) (+ (fabs p) (fabs r)))) (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) (fabs p) (fabs r) (+ (+ p (fabs r)) (fabs p)) (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) (* (/ (+ (* -1 (/ p r)) -1) r) q) (sqrt (+ (* (* q q) 4) (* p p))))
6.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (neg p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (- (+ (fabs p) (fabs r)) r) (+ (* -1 (/ p r)) -1) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (+ (sqrt (+ (* (* q q) 4) (* p p))) (+ (fabs p) (fabs r)))) (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) (fabs p) (fabs r) (+ (+ p (fabs r)) (fabs p)) (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) (* (/ (+ (* -1 (/ p r)) -1) r) q) (sqrt (+ (* (* q q) 4) (* p p))))
5.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (neg p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (- (+ (fabs p) (fabs r)) r) (+ (* -1 (/ p r)) -1) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (+ (sqrt (+ (* (* q q) 4) (* p p))) (+ (fabs p) (fabs r)))) (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) (fabs p) (fabs r) (+ (+ p (fabs r)) (fabs p)) (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) (* (/ (+ (* -1 (/ p r)) -1) r) q) (sqrt (+ (* (* q q) 4) (* p p))))
5.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (neg p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (- (+ (fabs p) (fabs r)) r) (/ -1/2 p)) -1/2) (- (+ (fabs p) (fabs r)) r) (+ (* -1 (/ p r)) -1) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (+ (sqrt (+ (* (* q q) 4) (* p p))) (+ (fabs p) (fabs r)))) (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) (fabs p) (fabs r) (+ (+ p (fabs r)) (fabs p)) (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) (* (/ (+ (* -1 (/ p r)) -1) r) q) (sqrt (+ (* (* q q) 4) (* p p))))

simplify264.0ms (2.7%)

Memory

-31.3MiB live, 408.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	4762
1	2405	4601
0	8308	4356

Stop Event

1×	iter limit
1×	node limit

Counts

179 → 177

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

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

rewrite180.0ms (1.9%)

Memory

36.7MiB live, 313.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	528
0	120	518
1	560	511
2	4533	511
0	9099	504

Stop Event

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

Counts

24 → 365

Calls

Call 1

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

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

eval88.0ms (0.9%)

Memory: -12.3MiB live, 181.9MiB allocated
Compiler: Compiled 41 827 to 3 177 computations (92.4% saved)

prune200.0ms (2.1%)

Memory

-13.9MiB live, 159.0MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	566	10	576
Fresh	11	19	30
Picked	3	2	5
Done	0	5	5
Total	580	36	616

Accuracy

93.0%

Counts

616 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	9.2%	(.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)))))))
	20.7%	(.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)))
	8.3%	#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 p p)) (-.f64 (fabs.f64 p) (fabs.f64 r))))
	6.3%	#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))))
	27.2%	#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)))
	37.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 #s(approx (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	18.6%	#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))
	21.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (/.f64 r q)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	31.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.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))
	18.3%	#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)))
✓	17.9%	#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)))
	11.1%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)) (neg.f64 p)))) #s(literal 1/2 binary64)))
✓	33.9%	#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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	8.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p)))
	11.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) (neg.f64 p)))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 r r)))) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) #s(literal -1/2 binary64)) r))
✓	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) 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) p))
✓	34.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	11.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)) (neg.f64 p))))
	15.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)))
	12.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64))))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 r r (.f64 (neg.f64 r) r)) (pow.f64 (+.f64 (fabs.f64 r) r) #s(literal -1 binary64)) (+.f64 (fabs.f64 p) p)))))
✓	43.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
	9.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) #s(approx (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))))
	26.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (.f64 (-.f64 #s(literal -1 binary64) (/.f64 p r)) q))) q (.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))))
	25.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (fma.f64 (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 p r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 p r))) r) q) q (.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))))
	27.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (fma.f64 #s(approx (* (/ (+ (* -1 (/ p r)) -1) r) q) (/.f64 (neg.f64 q) r)) q (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))))
	18.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	22.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (.f64 (neg.f64 q) q))))
	26.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (.f64 (/.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal -1 binary64)) r) q) q)))
	13.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (+ (* (* (/ (+ (* -1 (/ p r)) -1) r) q) q) (* (+ (* (/ (+ (+ p (fabs r)) (fabs p)) r) 1/2) -1/2) r)) (.f64 (neg.f64 p) (-.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (/.f64 (.f64 q q) (neg.f64 r))) (neg.f64 p))) #s(literal 1/2 binary64))))))

Compiler

Compiled 6 065 to 1 850 computations (69.5% saved)

regimes278.0ms (2.9%)

Memory

11.9MiB live, 170.6MiB allocated

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

108.0ms	(-.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))))))
41.0ms	q
35.0ms	(pow.f64 q #s(literal 2 binary64))
34.0ms	p
20.0ms	r

Results

Accuracy	Segments	Branch
60.0%	5	`p`
58.2%	5	`r`
67.6%	3	`q`
55.6%	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)))))))`
55.6%	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))))))`
67.6%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
67.6%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes75.0ms (0.8%)

Memory

3.8MiB live, 43.3MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

54.0ms	(pow.f64 q #s(literal 2 binary64))
10.0ms	q
9.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
65.2%	2	`q`
65.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.2%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes33.0ms (0.3%)

Memory

-23.6MiB live, 16.2MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

26.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
3.0ms	q
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
65.2%	2	`q`
65.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.2%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes25.0ms (0.3%)

Memory

-9.8MiB live, 31.8MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
38.6%	2	`r`
36.6%	2	`p`
37.0%	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)))))))`
37.0%	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))))))`
42.1%	2	`q`
42.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
42.1%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) #s(approx (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

3 calls:

3.0ms	q
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
39.9%	2	`q`
39.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
39.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes45.0ms (0.5%)

Memory

-13.0MiB live, 26.6MiB allocated

Accuracy

Total -21.3b remaining (-51%)

Threshold costs -21.3b (-51%)

Counts

6 → 1

Calls

Call 1

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

30.0ms	p
2.0ms	q
2.0ms	r
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
34.7%	1	`p`
34.7%	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)))))))`
34.7%	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))))))`
34.7%	1	`r`
34.7%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
34.7%	1	`(pow.f64 q #s(literal 2 binary64))`
34.7%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.298900652972292e+275	1.160567096834149e+276
0.0ms	8.216365878795316e-187	5.767084817267511e-184

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.54770328941158e+135	8.720422044364063e+140

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.54770328941158e+135	8.720422044364063e+140

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.222635343164042e-209	1.3378754459096734e-203

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch28.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.741843825321661e-99	6.082634029689327e-98

Samples

12.0ms	45×	2	valid
7.0ms	39×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 541 to 390 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

adjust: 4.0ms (24.9% of total)

ival-pow2: 3.0ms (18.7% of total)

ival-sub: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-mult: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

ival-div: 1.0ms (6.2% of total)

ival-fabs: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify86.0ms (0.9%)

Memory

7.7MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	93	527
1	155	527
2	314	527
3	841	527
4	2293	522
5	5613	502

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 #s(approx (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.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 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) 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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #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 578358058743443/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1038920085256495/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) #s(approx (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 #s(approx (* (- (pow (+ (fabs p) (fabs r)) 2) (+ (* (* q q) 4) (* p p))) 1/2) (.f64 #s(literal -2 binary64) (.f64 q q))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.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 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) 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)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #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 578358058743443/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) (.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1038920085256495/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs p) (- (fabs r) r)) p) -1/2) -1/2) (neg p)) #s(approx (* 1/2 (+ (+ p (fabs p)) (- (fabs r) r))) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness782.0ms (8.1%)

Memory

-12.9MiB live, 458.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	620	3263
1	1907	3082
2	6214	2946
0	8129	2747
0	59	394
0	98	382
1	405	348
2	3476	348
0	9644	348
0	907	5321
1	2689	5127
0	8408	4905
0	782	4762
1	2405	4601
0	8308	4356
0	1172	7926
1	3612	7692
0	8655	7291

Stop Event

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

Compiler

Compiled 735 to 291 computations (60.4% saved)

preprocess75.0ms (0.8%)

Memory: 22.5MiB live, 140.1MiB allocated
Compiler: Compiled 1 834 to 508 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.7s (28.4%)

explain277.0ms (2.9%)

preprocess223.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.6%)

localize99.0ms (1%)

series22.0ms (0.2%)

simplify198.0ms (2.1%)

rewrite249.0ms (2.6%)

eval72.0ms (0.7%)

prune39.0ms (0.4%)

simplify303.0ms (3.1%)

localize468.0ms (4.9%)

series67.0ms (0.7%)

simplify215.0ms (2.2%)

rewrite238.0ms (2.5%)

eval282.0ms (2.9%)

prune133.0ms (1.4%)

simplify117.0ms (1.2%)

localize262.0ms (2.7%)

series38.0ms (0.4%)

simplify194.0ms (2%)

rewrite296.0ms (3.1%)

eval140.0ms (1.5%)

prune85.0ms (0.9%)

simplify164.0ms (1.7%)

localize322.0ms (3.3%)

series65.0ms (0.7%)

simplify264.0ms (2.7%)

rewrite180.0ms (1.9%)

eval88.0ms (0.9%)

prune200.0ms (2.1%)

regimes278.0ms (2.9%)

regimes75.0ms (0.8%)

regimes33.0ms (0.3%)

regimes25.0ms (0.3%)

regimes8.0ms (0.1%)

regimes45.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.3%)

simplify86.0ms (0.9%)

soundness782.0ms (8.1%)

preprocess75.0ms (0.8%)

end0.0ms (0%)

Profiling