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)

sample2.6s (25.3%)

Memory

-34.1MiB live, 4 499.0MiB allocated

Samples

819.0ms	3 157×	1	valid
734.0ms	2 227×	2	valid
589.0ms	2 872×	0	valid

Precisions

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

adjust: 302.0ms (19% of total)

ival-pow2: 288.0ms (18.1% of total)

ival-add: 269.0ms (17% of total)

ival-sub: 198.0ms (12.5% of total)

ival-mult: 192.0ms (12.1% of total)

ival-sqrt: 132.0ms (8.3% of total)

ival-fabs: 93.0ms (5.9% of total)

ival-div: 91.0ms (5.7% of total)

exact: 12.0ms (0.8% of total)

ival-true: 6.0ms (0.4% of total)

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

Bogosity

explain290.0ms (2.8%)

Memory

19.2MiB live, 571.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
145	0	-	1	(-1.5977945817197202e-157 -6.789878261189853e-174 -9.056333775840088e-239)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
130	1	(-9.578409184260233e-195 4.9216861901290236e-12 3.2545660900853563e-168)	0	-	`(-.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	0	-	0	-	`q`
0	0	-	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	0	-	0	-	`(-.f64 p r)`
0	0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	0	-	0	-	`(fabs.f64 p)`
0	0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	0	-	0	-	`(fabs.f64 r)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`r`
0	1	(3.7961567271586166e-299 9.58279847919027e+127 1.1713668396673063e-162)	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	141	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	141
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	59
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	108
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	59
`-.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	3	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	3
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	63
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	13
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	62

Confusion

	Predicted +	Predicted -
+	201	0
-	1	54

Precision

0.995049504950495

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	201	0	0
-	1	0	54

Precision?

0.995049504950495

Recall?

1.0

Freqs

test

number	freq
0	54
1	129
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	156×	2	valid
48.0ms	188×	1	valid
21.0ms	168×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

adjust: 17.0ms (19.4% of total)

ival-pow2: 16.0ms (18.3% of total)

ival-mult: 11.0ms (12.6% of total)

ival-sub: 10.0ms (11.4% of total)

ival-fabs: 10.0ms (11.4% of total)

ival-add: 9.0ms (10.3% of total)

ival-sqrt: 8.0ms (9.1% of total)

ival-div: 3.0ms (3.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

preprocess226.0ms (2.2%)

Memory

2.5MiB live, 155.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.1%	(.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)))))))

Status

Accuracy

Program

▶

25.1%

(*.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)))))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify163.0ms (1.6%)

Memory

35.1MiB live, 110.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize118.0ms (1.2%)

Memory

-10.7MiB live, 201.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.017910009768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	30.753300036180136	(-.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	33.453532320714444	(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

47.0ms	94×	1	valid
42.0ms	78×	2	valid
10.0ms	84×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 22.0ms (34.7% of total)

ival-sqrt: 8.0ms (12.6% of total)

adjust: 7.0ms (11% of total)

ival-pow2: 7.0ms (11% of total)

ival-div: 6.0ms (9.5% of total)

ival-sub: 5.0ms (7.9% of total)

ival-add: 5.0ms (7.9% of total)

ival-fabs: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

-30.6MiB live, 47.1MiB allocated

Counts

7 → 128

Calls

Call 1

Inputs
(/.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)))))))
(-.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 #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))))))))))
(- (+ (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))))
(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)
(+ (* -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))
(* -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)))))))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* (pow p 2) (+ 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 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* -1 (* p (+ 1 (* -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)))))
(* (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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(+ (* -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))
(* -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)))))))
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)))))))
(* (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 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* -1 (* r (+ 1 (* -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)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(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)))))
(- (+ 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)
(- 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)
(* 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 (- (+ (/ (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))))))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(* -1 (* 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
29.0ms	q	@	-inf	((/ 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)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
3.0ms	q	@	0	((/ 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)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
3.0ms	p	@	0	((/ 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)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	r	@	0	((/ 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)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	p	@	inf	((/ 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)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))

simplify208.0ms (2%)

Memory

31.7MiB live, 271.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3260
1	1907	3079
2	6213	2943
0	8129	2744

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

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

rewrite378.0ms (3.7%)

Memory

-27.4MiB live, 352.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	31	72
1	109	72
2	796	72
0	8737	68

Stop Event

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

Counts

7 → 359

Calls

Call 1

Inputs
(/.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)))))))
(-.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 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))

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

eval102.0ms (1%)

Memory: 15.0MiB live, 167.3MiB allocated
Compiler: Compiled 21 101 to 2 333 computations (88.9% saved)

prune66.0ms (0.6%)

Memory

-30.9MiB live, 87.7MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	461	21	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	462	21	483

Accuracy

65.9%

Counts

483 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	13.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.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)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.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)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
	21.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (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 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	21.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (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 2 binary64))))))
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (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)))))
	21.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
	23.9%	(.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)))
▶	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))
▶	12.5%	#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))
	33.6%	#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))
	19.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
▶	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (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)))
	15.9%	#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))
	21.6%	#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))
	21.1%	#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)) (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 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.6%	#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))
▶	35.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 906 to 1 148 computations (39.8% saved)

simplify166.0ms (1.6%)

Memory

36.8MiB live, 232.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/4 binary64) p)
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))
cost-diff	1	(fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
cost-diff	0	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
cost-diff	2	(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
cost-diff	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	67	830
0	113	830
1	197	830
2	464	830
3	1729	830
4	5625	828
0	8119	818

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

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

localize429.0ms (4.2%)

Memory

-7.5MiB live, 815.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	17.981553095858995	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	23.118371071789884	(fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))
accuracy	23.23913194619201	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	23.48195522359498	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	11.274325390164819	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	18.84449130067315	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	22.29601020855875	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	22.59876310487654	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	4.413794438950147	(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
accuracy	9.982558336385527	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	19.825665394929654	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	32.72150765737062	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	50.076202768419535	#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	29.75038223948825	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

166.0ms	83×	2	valid
123.0ms	114×	1	valid
56.0ms	44×	2	exit
4.0ms	3×	3	valid
3.0ms	6×	1	exit
3.0ms	6×	0	valid

Compiler

Compiled 1 595 to 138 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 68.0ms (25.8% of total)

adjust: 63.0ms (23.9% of total)

ival-add: 44.0ms (16.7% of total)

ival-sub: 25.0ms (9.5% of total)

ival-sqrt: 24.0ms (9.1% of total)

ival-div: 20.0ms (7.6% of total)

ival-pow2: 8.0ms (3% of total)

ival-pow: 6.0ms (2.3% of total)

ival-fabs: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series87.0ms (0.9%)

Memory

35.5MiB live, 145.1MiB allocated

Counts

23 → 296

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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)))
(*.f64 #s(literal -1/4 binary64) p)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(sqrt.f64 (fma.f64 (.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))))
(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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r 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)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(/ (+ (fabs p) (fabs r)) r)
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* -1/4 (* (* p (+ 1 (* -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 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (* p (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (+ 1 (* -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 (* (* p (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(* -1/4 p)
(+ (fabs p) (fabs r))
(+ p (+ (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) (+ (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)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* 1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(/ p r)
(* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
(* -1/4 (* (* (pow p 2) (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))
(* (pow p 2) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1/4 (* (* (pow p 3) (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 3)))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))
(* -1 (* (pow p 3) (+ (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (+ (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 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)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ p (+ (fabs p) (fabs r))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1/8 (/ p q))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (+ (* 3/64 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (+ (* 1/4 (/ 1 q)) (* r (+ (* 3/64 (/ p (pow q 3))) (* r (- (* -1/4 (* p (+ (* -1/32 (/ p (pow q 5))) (* -1/1024 (/ (* p (+ (* 16 (pow q 4)) (* 32 (pow q 4)))) (pow q 9)))))) (* 1/32 (/ 1 (pow q 3)))))))))))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* p (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))) (* r (- (* 3/64 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* p (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))) (* r (- (+ (* 3/64 (/ (pow p 2) (pow q 3))) (* p (* r (- (* -1/4 (* p (+ (* -1/32 (/ p (pow q 5))) (* -1/1024 (/ (* p (+ (* 16 (pow q 4)) (* 32 (pow q 4)))) (pow q 9)))))) (* 1/32 (/ 1 (pow q 3))))))) (* 1/8 (/ 1 q))))))))
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
1
(+ 1 (* -1/4 (/ (pow r 2) (pow q 2))))
(+ 1 (* (pow r 2) (- (* 1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ 1 (* (pow r 2) (- (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -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))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (* (pow p 2) (pow q 2)) (pow r 4))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (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 r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(* 4 (/ (pow q 2) (pow r 2)))
(/ (+ (* -16 (/ (pow q 4) (pow r 2))) (* 4 (pow q 2))) (pow r 2))
(/ (+ (* -16 (/ (pow q 4) (pow r 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow r 4))))) (pow r 2))
(/ (+ (* -256 (/ (pow q 8) (pow r 6))) (+ (* -16 (/ (pow q 4) (pow r 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow r 4)))))) (pow r 2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* 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 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1 (/ (+ (* 1/4 (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (* (pow p 2) (pow q 2))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ 1/2 (* (pow q 2) (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (* (pow q 2) (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4)))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (* (pow q 2) (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (+ (* 3 (/ 1 (pow r 4))) (* (pow q 2) (- (* -1/4 (* p (+ (* -16 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 4))) (+ (* 4 (/ (+ (* -1/2 (* p (* (pow r 4) (+ (* -12 (/ (+ (* 4 (pow r 4)) (* 8 (pow r 4))) (pow r 14))) (* 84 (/ 1 (pow r 10))))))) (* 6 (/ 1 (pow r 5)))) (pow r 2))) (* 64 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 6))))))) (* 10 (/ 1 (pow r 6))))))))) (/ 1 (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (* (pow q 2) (+ (* p (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4))))) (/ 1 (pow r 3))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (* (pow q 2) (+ (* p (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4))))) (+ (* (pow q 2) (- (* p (- (* -1/4 (* p (+ (* -16 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 4))) (+ (* 4 (/ (+ (* -1/2 (* p (* (pow r 4) (+ (* -12 (/ (+ (* 4 (pow r 4)) (* 8 (pow r 4))) (pow r 14))) (* 84 (/ 1 (pow r 10))))))) (* 6 (/ 1 (pow r 5)))) (pow r 2))) (* 64 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 6))))))) (* 10 (/ 1 (pow r 6))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3)))))) (/ 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)))))
(- (+ (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)
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(* (pow q 2) (+ (* -16 (/ (pow q 2) (pow r 4))) (* 4 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow r 6))) (* 16 (/ 1 (pow r 4))))) (* 4 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -256 (/ (pow q 2) (pow r 8))) (* 64 (/ 1 (pow r 6))))) (* 16 (/ 1 (pow r 4))))) (* 4 (/ 1 (pow r 2)))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/ (+ (* -1/8 p) (* 1/4 r)) q)
(/ (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))) q)
(/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))) q)
(/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/2 (/ (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -4 (* p (* r (+ (* -1/262144 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (* 1/4096 (+ (* 4 (pow r 4)) (* 8 (pow r 4))))))))) (+ (* -1 (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (+ (* -1/4 (* (pow r 2) (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2))))))))) (+ (* -1/128 (pow r 6)) (* 1/16 (* (pow r 4) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))))) q)
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (* p (+ (* -1/8 p) (* 1/4 r))) (pow q 2)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (/ (* p (+ (* -1/4 (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))) (* -1/32 (pow r 3)))) (pow q 4)) (/ (* p (+ (* -1/8 p) (* 1/4 r))) (pow q 2)))))) 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 (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(+ 1 (+ (* -1/4 (/ (pow r 2) (pow q 2))) (* 1/16 (/ (pow r 4) (pow q 4)))))
(+ 1 (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (* -1/64 (/ (pow r 6) (pow q 6))) (* 1/16 (/ (pow r 4) (pow q 4))))))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(* -1 (/ (+ (* -1/8 p) (* 1/4 r)) q))
(* -1 (/ (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))) q))
(* -1 (/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))) q))
(* -1 (/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/2 (/ (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -4 (* p (* r (+ (* -1/262144 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (* 1/4096 (+ (* 4 (pow r 4)) (* 8 (pow r 4))))))))) (+ (* -1 (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (+ (* -1/4 (* (pow r 2) (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2))))))))) (+ (* -1/128 (pow r 6)) (* 1/16 (* (pow r 4) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))))) q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* p (+ (* -1/8 p) (* 1/4 r)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* p (+ (* -1/8 p) (* 1/4 r))) (/ (* p (+ (* -1/4 (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))) (* -1/32 (pow r 3)))) (pow q 2))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	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) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* -1/4 p) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
12.0ms	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) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* -1/4 p) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
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) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* -1/4 p) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
9.0ms	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) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* -1/4 p) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
8.0ms	q	@	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) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* -1/4 p) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* r r))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))

simplify222.0ms (2.2%)

Memory

11.9MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1535	9143
1	4733	8863
0	8112	8264

Stop Event

1×	iter limit
1×	node limit

Counts

296 → 293

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)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(/ (+ (fabs p) (fabs r)) r)
(+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* -1/4 (* (* p (+ 1 (* -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 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (* p (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (+ 1 (* -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 (* (* p (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(* -1/4 p)
(+ (fabs p) (fabs r))
(+ p (+ (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) (+ (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)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* 1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(/ p r)
(* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
(* -1/4 (* (* (pow p 2) (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))
(* (pow p 2) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1/4 (* (* (pow p 3) (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* (pow p 3) (+ (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (+ (* -1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r (pow p 2)) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 3)))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* -1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3)))))))
(* -1 (* (pow p 3) (+ (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/4 (* (/ (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (+ (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) p)) (* 1/4 (* (* r (+ 1 (* -1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 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)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ p (+ (fabs p) (fabs r))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1/8 (/ p q))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (+ (* 3/64 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ (* -1/8 (/ p q)) (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (+ (* 1/4 (/ 1 q)) (* r (+ (* 3/64 (/ p (pow q 3))) (* r (- (* -1/4 (* p (+ (* -1/32 (/ p (pow q 5))) (* -1/1024 (/ (* p (+ (* 16 (pow q 4)) (* 32 (pow q 4)))) (pow q 9)))))) (* 1/32 (/ 1 (pow q 3)))))))))))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (* r (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* p (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))) (* r (- (* 3/64 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* p (+ (* -1/32 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))) (* r (- (+ (* 3/64 (/ (pow p 2) (pow q 3))) (* p (* r (- (* -1/4 (* p (+ (* -1/32 (/ p (pow q 5))) (* -1/1024 (/ (* p (+ (* 16 (pow q 4)) (* 32 (pow q 4)))) (pow q 9)))))) (* 1/32 (/ 1 (pow q 3))))))) (* 1/8 (/ 1 q))))))))
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
1
(+ 1 (* -1/4 (/ (pow r 2) (pow q 2))))
(+ 1 (* (pow r 2) (- (* 1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ 1 (* (pow r 2) (- (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -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))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (* (pow p 2) (pow q 2)) (pow r 4))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (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 r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(* 4 (/ (pow q 2) (pow r 2)))
(/ (+ (* -16 (/ (pow q 4) (pow r 2))) (* 4 (pow q 2))) (pow r 2))
(/ (+ (* -16 (/ (pow q 4) (pow r 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow r 4))))) (pow r 2))
(/ (+ (* -256 (/ (pow q 8) (pow r 6))) (+ (* -16 (/ (pow q 4) (pow r 2))) (+ (* 4 (pow q 2)) (* 64 (/ (pow q 6) (pow r 4)))))) (pow r 2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* 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 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1 (/ (+ (* 1/4 (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (* (pow p 2) (pow q 2))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ 1/2 (* (pow q 2) (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (* (pow q 2) (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4)))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (* (pow q 2) (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (+ (* 3 (/ 1 (pow r 4))) (* (pow q 2) (- (* -1/4 (* p (+ (* -16 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 4))) (+ (* 4 (/ (+ (* -1/2 (* p (* (pow r 4) (+ (* -12 (/ (+ (* 4 (pow r 4)) (* 8 (pow r 4))) (pow r 14))) (* 84 (/ 1 (pow r 10))))))) (* 6 (/ 1 (pow r 5)))) (pow r 2))) (* 64 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 6))))))) (* 10 (/ 1 (pow r 6))))))))) (/ 1 (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (* (pow q 2) (+ (* p (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4))))) (/ 1 (pow r 3))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* p (- (* -1 (/ (* p (+ (/ 1 r) (/ p (pow r 2)))) (pow r 2))) (/ 1 (pow r 2)))) (* (pow q 2) (+ (* p (+ (* -1/4 (* p (+ (* -16 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 4))) (* 4 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 2)))))) (* 3 (/ 1 (pow r 4))))) (+ (* (pow q 2) (- (* p (- (* -1/4 (* p (+ (* -16 (/ (- (* -6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))) (pow r 4))) (+ (* 4 (/ (+ (* -1/2 (* p (* (pow r 4) (+ (* -12 (/ (+ (* 4 (pow r 4)) (* 8 (pow r 4))) (pow r 14))) (* 84 (/ 1 (pow r 10))))))) (* 6 (/ 1 (pow r 5)))) (pow r 2))) (* 64 (/ (+ (/ 1 r) (/ p (pow r 2))) (pow r 6))))))) (* 10 (/ 1 (pow r 6))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3)))))) (/ 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)))))
(- (+ (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)
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(* (pow q 2) (+ (* -16 (/ (pow q 2) (pow r 4))) (* 4 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow r 6))) (* 16 (/ 1 (pow r 4))))) (* 4 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -256 (/ (pow q 2) (pow r 8))) (* 64 (/ 1 (pow r 6))))) (* 16 (/ 1 (pow r 4))))) (* 4 (/ 1 (pow r 2)))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/ (+ (* -1/8 p) (* 1/4 r)) q)
(/ (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))) q)
(/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))) q)
(/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/2 (/ (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -4 (* p (* r (+ (* -1/262144 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (* 1/4096 (+ (* 4 (pow r 4)) (* 8 (pow r 4))))))))) (+ (* -1 (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (+ (* -1/4 (* (pow r 2) (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2))))))))) (+ (* -1/128 (pow r 6)) (* 1/16 (* (pow r 4) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))))) q)
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (* p (+ (* -1/8 p) (* 1/4 r))) (pow q 2)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (/ (* p (+ (* -1/4 (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))) (* -1/32 (pow r 3)))) (pow q 4)) (/ (* p (+ (* -1/8 p) (* 1/4 r))) (pow q 2)))))) 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 (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(+ 1 (+ (* -1/4 (/ (pow r 2) (pow q 2))) (* 1/16 (/ (pow r 4) (pow q 4)))))
(+ 1 (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (* -1/64 (/ (pow r 6) (pow q 6))) (* 1/16 (/ (pow r 4) (pow q 4))))))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(* -1 (/ (+ (* -1/8 p) (* 1/4 r)) q))
(* -1 (/ (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))) q))
(* -1 (/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))) q))
(* -1 (/ (+ (* -1/2 (/ (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/2 (/ (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -4 (* p (* r (+ (* -1/262144 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow r 2)) (* 32 (pow r 2))) 2)) (* 1/4096 (+ (* 4 (pow r 4)) (* 8 (pow r 4))))))))) (+ (* -1 (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (+ (* -1/4 (* (pow r 2) (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2))))))))) (+ (* -1/128 (pow r 6)) (* 1/16 (* (pow r 4) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))))))) (pow q 6))) (+ (* -1/4 (/ (* p (+ (* -1 (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (+ (* -1/4 (* (pow r 2) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (+ (* -1/1024 (* p (* r (+ (* 16 (pow r 2)) (* 32 (pow r 2)))))) (* 1/32 (pow r 4)))))) (pow q 4))) (+ (* -1/4 (/ (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r))))) (pow q 2))) (+ (* -1/8 p) (+ (* -1/32 (/ (pow r 3) (pow q 2))) (* 1/4 r)))))))) q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* p (+ (* -1/8 p) (* 1/4 r)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* p (+ (* -1/8 p) (* 1/4 r))) (/ (* p (+ (* -1/4 (* p (+ (* -1/8 (pow r 2)) (+ (* -1/16 (pow r 2)) (* 1/8 (* p r)))))) (* -1/32 (pow r 3)))) (pow q 2))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))

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

rewrite204.0ms (2%)

Memory

-19.6MiB live, 316.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	576
0	113	570
1	463	553
2	3779	553
0	8286	548

Stop Event

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

Counts

23 → 370

Calls

Call 1

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

eval151.0ms (1.5%)

Memory: -4.4MiB live, 195.9MiB allocated
Compiler: Compiled 67 815 to 4 121 computations (93.9% saved)

prune62.0ms (0.6%)

Memory

-9.6MiB live, 105.8MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	688	22	710
Fresh	8	8	16
Picked	3	2	5
Done	0	0	0
Total	699	32	731

Accuracy

89.1%

Counts

731 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	23.9%	(.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)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
	14.9%	#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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	18.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
▶	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	15.9%	#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))
▶	18.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.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)))
	13.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	14.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	21.6%	#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))
▶	21.1%	#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)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	22.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (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)))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	8.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.6%	#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))
✓	35.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 6 binary64))) #s(literal 64 binary64) (.f64 (/.f64 (fma.f64 (.f64 (.f64 p (pow.f64 r #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 r #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 r #s(literal 10 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 r #s(literal 5 binary64)))) (.f64 r r)) #s(literal 4 binary64)))) (/.f64 #s(literal -10 binary64) (pow.f64 r #s(literal 6 binary64)))) p (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 5 binary64)))) (.f64 q q) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 r r)) #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 r #s(literal 4 binary64)))) p (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64))))) (.f64 q q) (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r))) (.f64 q q) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	30.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 r r)) #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 r #s(literal 4 binary64)))) p (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r))) (.f64 q q) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	32.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	18.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))) r)))
	32.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	12.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 4 605 to 2 655 computations (42.3% saved)

simplify207.0ms (2%)

Memory

1.4MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	715
0	99	704
1	163	704
2	324	704
3	784	704
4	1501	704
5	2998	704
6	4883	704
7	6196	704
8	7019	704
9	7279	704
10	7407	704
11	7417	704
12	7467	704
13	7827	704
0	8038	695

Stop Event

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

Calls

Call 1

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

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

localize375.0ms (3.7%)

Memory

-12.4MiB live, 288.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	20.229603170716274	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	20.301494414035492	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	28.58536524069731	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	29.54125159385986	(log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	16.672248070767193	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r)))
accuracy	20.229603170716274	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
accuracy	28.43468358458805	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	28.58536524069731	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.006191259768442017	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	20.04883648466808	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	27.425486885442545	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	33.832106401510025	#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)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.38611203737259	#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 r)
accuracy	0.0	(fabs.f64 p)
accuracy	20.229603170716274	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	28.355721217932626	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))))

Samples

123.0ms	83×	1	valid
117.0ms	90×	2	valid
78.0ms	83×	0	valid

Compiler

Compiled 1 337 to 123 computations (90.8% saved)

Precisions

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

ival-mult: 56.0ms (23.3% of total)

ival-fabs: 51.0ms (21.3% of total)

ival-add: 45.0ms (18.8% of total)

adjust: 25.0ms (10.4% of total)

ival-sub: 17.0ms (7.1% of total)

ival-sqrt: 13.0ms (5.4% of total)

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

ival-exp: 9.0ms (3.8% of total)

ival-pow2: 8.0ms (3.3% of total)

ival-div: 5.0ms (2.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series31.0ms (0.3%)

Memory

19.4MiB live, 56.3MiB allocated

Counts

25 → 231

Calls

Call 1

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

Outputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fabs p)
(* 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)))))
(log (* 4 (pow q 2)))
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(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* -1/32 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/192 (/ (pow p 2) (pow q 6))) (* 1/32 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
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(- (+ (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))
(* -1/2 p)
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(* 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 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
p
(* 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)))))))
(* -2 (log (/ 1 p)))
(+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* -1 (* p (+ 1 (* 2 (/ (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))))))))
(* -2 (log (/ -1 p)))
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(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
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(+ (* 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))))
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(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
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(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
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(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(fabs r)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (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 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(+ (fabs p) (+ (fabs r) (* -2 q)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ 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)))))
(log (pow p 2))
(+ (log (pow p 2)) (* 4 (/ (pow q 2) (pow p 2))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* -8 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 64/3 (/ (pow q 2) (pow p 6))) (* 8 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))))
(- (+ (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)
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) 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))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(+ (log 4) (* -2 (log (/ 1 q))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (+ 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))))))))
(+ (log 4) (* -2 (log (/ -1 q))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))

Calls

9 calls:

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

simplify181.0ms (1.8%)

Memory

1.6MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1124	5518
1	3327	5432
0	8210	5060

Stop Event

1×	iter limit
1×	node limit

Counts

231 → 228

Calls

Call 1

Inputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fabs p)
(* 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)))))
(log (* 4 (pow q 2)))
(+ (log (* 4 (pow q 2))) (* 1/4 (/ (pow p 2) (pow q 2))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* -1/32 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/192 (/ (pow p 2) (pow q 6))) (* 1/32 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(- (+ (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))
(* -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 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
p
(* 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)))))))
(* -2 (log (/ 1 p)))
(+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* -1 (* p (+ 1 (* 2 (/ (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))))))))
(* -2 (log (/ -1 p)))
(+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* 1/2 (- (+ (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))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(fabs r)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (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 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(+ (fabs p) (+ (fabs r) (* -2 q)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ 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)))))
(log (pow p 2))
(+ (log (pow p 2)) (* 4 (/ (pow q 2) (pow p 2))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* -8 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 64/3 (/ (pow q 2) (pow p 6))) (* 8 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))))
(- (+ (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)
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) 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))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(+ (log 4) (* -2 (log (/ 1 q))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (+ 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))))))))
(+ (log 4) (* -2 (log (/ -1 q))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))

Outputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
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(.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/64 binary64) (-.f64 (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q)) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)))) q)
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) q)
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(.f64 (fma.f64 (/.f64 r q) (/.f64 r q) #s(literal 4 binary64)) (.f64 q q))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) 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)))))))
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(+ (log 4) (* -2 (log (/ 1 q))))
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(+ (log 4) (+ (* -2 (log (/ 1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
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(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(fma.f64 (neg.f64 (log.f64 q)) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) (log.f64 #s(literal 4 binary64))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/192 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))) (fma.f64 (neg.f64 (log.f64 q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (.f64 p p) q) (+.f64 (/.f64 (fabs.f64 r) q) (-.f64 (/.f64 (fabs.f64 p) q) #s(literal 2 binary64)))) q)
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 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) (-.f64 (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q)) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)))) q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (neg.f64 q))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 (.f64 p p) #s(literal -1/4 binary64))) q) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (fma.f64 (.f64 p p) #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64))) r (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/64 binary64))) (.f64 q q))))) q)) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 (.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64))) r (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/64 binary64))) (.f64 q 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 (/ (+ (* 1/8 (/ (pow 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 (.f64 r r) q) #s(literal 1/8 binary64))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow 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 r #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (*.f64 r r))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 r r) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 r #s(literal 4 binary64)) q) (.f64 #s(literal -1/4 binary64) (*.f64 r r))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) q)
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) 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 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(+ (log 4) (* -2 (log (/ -1 q))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64)))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) (log.f64 #s(literal 4 binary64))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/192 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 (*.f64 p p) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite199.0ms (1.9%)

Memory

-4.3MiB live, 194.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	569
0	99	562
1	365	551
2	2829	551
0	8228	418

Stop Event

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

Counts

25 → 657

Calls

Call 1

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

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

eval157.0ms (1.5%)

Memory: -4.9MiB live, 304.5MiB allocated
Compiler: Compiled 60 408 to 4 987 computations (91.7% saved)

prune117.0ms (1.1%)

Memory

8.5MiB live, 165.5MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	934	11	945
Fresh	3	22	25
Picked	3	2	5
Done	0	2	2
Total	940	37	977

Accuracy

89.1%

Counts

977 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	23.9%	(.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)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
▶	37.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
	14.9%	#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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	18.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	29.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (exp.f64 (log.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	15.9%	#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))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal -1/2 binary64))) (.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)))
▶	9.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.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)))
	13.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	14.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	22.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1 binary64) p)) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
▶	21.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (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))
✓	21.1%	#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)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
▶	9.9%	#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) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
	22.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (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)))
	32.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) q (fabs.f64 r))))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	8.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
▶	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.6%	#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))
✓	35.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	32.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	18.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))) r)))
	32.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
	10.9%	#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) (* r r)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
	11.6%	#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) (* r r)))) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r)) (.f64 q q) (*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
	13.0%	#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) (* r r)))) 1/2) (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	12.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 4 433 to 2 782 computations (37.2% saved)

simplify256.0ms (2.5%)

Memory

-3.7MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (exp.f64 (.f64 #s(approx (log (+ ( (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
cost-diff	0	(.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	4	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.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 #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	1	(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	1	(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	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	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) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)))
cost-diff	0	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
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 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
cost-diff	1	(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))
cost-diff	8	(fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	771
0	121	742
1	221	739
2	443	739
3	1159	718
4	2955	714
0	8501	662

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

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

localize418.0ms (4.1%)

Memory

17.5MiB live, 610.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	17.131683507076808	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	22.06279953245657	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	23.791920773106973	(log.f64 (*.f64 p p))
accuracy	29.646046566907224	#s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (*.f64 p p)))
accuracy	6.253748351183826	(.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	9.982558336385527	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	19.825665394929654	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	28.44827562137962	#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	5.730350846258069	(/.f64 (*.f64 q q) r)
accuracy	16.321817425217915	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r)))
accuracy	20.442804635507834	#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) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
accuracy	30.521124980057387	#s(approx (sqrt (+ (* (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) r))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	48.41493274663882	#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	0.27734375	(/.f64 p (pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64)))
accuracy	1.8124447392952912	(fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))
accuracy	11.274325390164819	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) p))
accuracy	17.131683507076808	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))

Samples

197.0ms	149×	1	valid
61.0ms	51×	2	exit
52.0ms	43×	2	valid
4.0ms	6×	1	exit
3.0ms	7×	0	valid

Compiler

Compiled 1 481 to 147 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-mult: 51.0ms (23% of total)

adjust: 42.0ms (18.9% of total)

ival-add: 35.0ms (15.8% of total)

ival-sub: 19.0ms (8.6% of total)

ival-div: 19.0ms (8.6% of total)

ival-sqrt: 13.0ms (5.9% of total)

ival-log: 11.0ms (5% of total)

ival-exp: 10.0ms (4.5% of total)

ival-pow2: 10.0ms (4.5% of total)

ival-hypot: 8.0ms (3.6% of total)

ival-fabs: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series110.0ms (1.1%)

Memory

9.5MiB live, 204.9MiB allocated

Counts

26 → 301

Calls

Call 1

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

Outputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* (pow 4 1/4) (sqrt q))
(+ (* 1/16 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 3)))))) (* (pow 4 1/4) (sqrt q)))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 7)))))) (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))))))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (sqrt (/ 1 (pow q 7))))) (* 7/8192 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 11)))))))))))
(* 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)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (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)))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* (pow 1/4 1/4) (* p (sqrt (/ 1 q))))
(* p (+ (* -1/16 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 5)))))) (* (pow 1/4 1/4) (sqrt (/ 1 q)))))
(* p (+ (* (pow 1/4 1/4) (sqrt (/ 1 q))) (* (pow p 2) (+ (* -1/16 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 5))))) (* 5/512 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 9))))))))))
(* p (+ (* (pow 1/4 1/4) (sqrt (/ 1 q))) (* (pow p 2) (+ (* -1/16 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 5))))) (* (pow p 2) (+ (* -15/8192 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 13)))))) (* 5/512 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 9)))))))))))
(+ 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)
(log (* 4 (pow q 2)))
(+ (log (* 4 (pow q 2))) (* 1/4 (/ (pow p 2) (pow q 2))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* -1/32 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/192 (/ (pow p 2) (pow q 6))) (* 1/32 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(* 2 (log p))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(sqrt p)
(+ (sqrt p) (* (sqrt (/ 1 (pow p 3))) (pow q 2)))
(+ (sqrt p) (+ (* (sqrt (/ 1 (pow p 3))) (pow q 2)) (* (sqrt (/ 1 (pow p 7))) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4))))))
(+ (sqrt p) (+ (* (sqrt (/ 1 (pow p 3))) (pow q 2)) (+ (* (sqrt (/ 1 (pow p 7))) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4)))) (* (sqrt (/ 1 (pow p 11))) (+ (* -2 (pow q 6)) (+ (* 1/6 (pow q 6)) (* 16/3 (pow q 6))))))))
(* -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 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* p (* r (+ (* -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))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ (sqrt (/ 1 p)) (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2)))))
(* p (+ (sqrt (/ 1 p)) (+ (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2))) (* (sqrt (/ 1 (pow p 9))) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))))
(* p (+ (sqrt (/ 1 p)) (+ (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2))) (+ (* (sqrt (/ 1 (pow p 9))) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))) (* (sqrt (/ 1 (pow p 13))) (+ (* -1/6 (pow q 6)) (+ (* -1/96 (* (pow q 2) (+ (* -192 (pow q 4)) (* 384 (pow q 4))))) (* 1/2880 (+ (* -46080 (pow q 6)) (+ (* -15360 (pow q 6)) (* 46080 (pow q 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))))
(* -2 (log (/ 1 p)))
(+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(* (sqrt p) (sqrt -1))
(+ (* (sqrt p) (sqrt -1)) (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))))
(+ (* (sqrt p) (sqrt -1)) (+ (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))) (* (sqrt (/ 1 (pow p 7))) (* (sqrt -1) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4)))))))
(+ (* (sqrt p) (sqrt -1)) (+ (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))) (+ (* (sqrt (/ 1 (pow p 7))) (* (sqrt -1) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4))))) (* (sqrt (/ 1 (pow p 11))) (* (sqrt -1) (+ (* -2 (pow q 6)) (+ (* 1/6 (pow q 6)) (* 16/3 (pow q 6)))))))))
(* 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) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (* 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))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1))))))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow p 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1)))))))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow p 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))) (+ (* -1 (* (sqrt (/ 1 (pow p 13))) (* (sqrt -1) (+ (* -1/6 (pow q 6)) (+ (* -1/96 (* (pow q 2) (+ (* -192 (pow q 4)) (* 384 (pow q 4))))) (* 1/2880 (+ (* -46080 (pow q 6)) (+ (* -15360 (pow q 6)) (* 46080 (pow q 6)))))))))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1))))))))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -2 (log (/ -1 p)))
(+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 r)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -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))
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(/ (pow q 2) r)
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* -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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ 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))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (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 (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1/2 (* -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 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(* (pow 1 1/4) (sqrt p))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 3))) (pow q 2))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -3/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 7))) (pow q 2)))) (* (pow 1 1/4) (sqrt (/ 1 (pow p 3)))))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* (pow 1 1/4) (sqrt (/ 1 (pow p 3)))) (* (pow q 2) (+ (* -3/2 (* (pow 1 1/4) (sqrt (/ 1 (pow p 7))))) (* 7/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 11))) (pow q 2)))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -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))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 3))) (pow q 2)))) (* (pow 1 1/4) (sqrt p)))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow p 3))))) (* 5/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 7))) (pow q 2)))))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow p 3))))) (* (pow q 2) (+ (* -15/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 11))) (pow q 2)))) (* 5/2 (* (pow 1 1/4) (sqrt (/ 1 (pow p 7))))))))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(log (pow p 2))
(+ (log (pow p 2)) (* 4 (/ (pow q 2) (pow p 2))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* -8 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 64/3 (/ (pow q 2) (pow p 6))) (* 8 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))) (+ (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4)) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/2048 (pow p 6)) (+ (* 1/24576 (pow p 6)) (* 1/768 (pow p 6))))) (pow q 6)))))
(* -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 (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (+ (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* -1/1536 (* (pow p 2) (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))) (+ (* -1/24576 (pow p 6)) (* 1/2880 (+ (* -45/4 (pow p 6)) (+ (* -15/4 (pow p 6)) (* 45/4 (pow p 6))))))))) (pow q 6)) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4)))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(+ (log 4) (* -2 (log (/ 1 q))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))) (+ (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4)) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/2048 (pow p 6)) (+ (* 1/24576 (pow p 6)) (* 1/768 (pow p 6))))) (pow q 6)))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (+ (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* -1/1536 (* (pow p 2) (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))) (+ (* -1/24576 (pow p 6)) (* 1/2880 (+ (* -45/4 (pow p 6)) (+ (* -15/4 (pow p 6)) (* 45/4 (pow p 6))))))))) (pow q 6)) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(+ (log 4) (* -2 (log (/ -1 q))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	p	@	0	((+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (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)))))) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p)))) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (sqrt (+ (* (* q q) 4) (* r r))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (log (+ (* (* q q) 4) (* p p))) (log (* p p)))
18.0ms	p	@	inf	((+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (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)))))) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p)))) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (sqrt (+ (* (* q q) 4) (* r r))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (log (+ (* (* q q) 4) (* p p))) (log (* p p)))
13.0ms	p	@	-inf	((+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (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)))))) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p)))) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (sqrt (+ (* (* q q) 4) (* r r))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (log (+ (* (* q q) 4) (* p p))) (log (* p p)))
9.0ms	q	@	0	((+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (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)))))) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p)))) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (sqrt (+ (* (* q q) 4) (* r r))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (log (+ (* (* q q) 4) (* p p))) (log (* p p)))
6.0ms	q	@	inf	((+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (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)))))) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (exp (* (log (+ (* (* q q) 4) (* p p))) -1/2)) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p)))) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (sqrt (+ (* (* q q) 4) (* r r))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (log (+ (* (* q q) 4) (* p p))) (log (* p p)))

simplify274.0ms (2.7%)

Memory

20.8MiB live, 323.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1513	7920
1	4571	7801
0	8423	7373

Stop Event

1×	iter limit
1×	node limit

Counts

301 → 298

Calls

Call 1

Inputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* (pow 4 1/4) (sqrt q))
(+ (* 1/16 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 3)))))) (* (pow 4 1/4) (sqrt q)))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 7)))))) (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))))))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (sqrt (/ 1 (pow q 7))))) (* 7/8192 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 11)))))))))))
(* 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)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (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)))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* (pow 1/4 1/4) (* p (sqrt (/ 1 q))))
(* p (+ (* -1/16 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 5)))))) (* (pow 1/4 1/4) (sqrt (/ 1 q)))))
(* p (+ (* (pow 1/4 1/4) (sqrt (/ 1 q))) (* (pow p 2) (+ (* -1/16 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 5))))) (* 5/512 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 9))))))))))
(* p (+ (* (pow 1/4 1/4) (sqrt (/ 1 q))) (* (pow p 2) (+ (* -1/16 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 5))))) (* (pow p 2) (+ (* -15/8192 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 13)))))) (* 5/512 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 9)))))))))))
(+ 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)
(log (* 4 (pow q 2)))
(+ (log (* 4 (pow q 2))) (* 1/4 (/ (pow p 2) (pow q 2))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* -1/32 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(+ (log (* 4 (pow q 2))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/192 (/ (pow p 2) (pow q 6))) (* 1/32 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(* 2 (log p))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(sqrt p)
(+ (sqrt p) (* (sqrt (/ 1 (pow p 3))) (pow q 2)))
(+ (sqrt p) (+ (* (sqrt (/ 1 (pow p 3))) (pow q 2)) (* (sqrt (/ 1 (pow p 7))) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4))))))
(+ (sqrt p) (+ (* (sqrt (/ 1 (pow p 3))) (pow q 2)) (+ (* (sqrt (/ 1 (pow p 7))) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4)))) (* (sqrt (/ 1 (pow p 11))) (+ (* -2 (pow q 6)) (+ (* 1/6 (pow q 6)) (* 16/3 (pow q 6))))))))
(* -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 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) 1/2))
(* p (* r (+ (* -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))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ (sqrt (/ 1 p)) (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2)))))
(* p (+ (sqrt (/ 1 p)) (+ (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2))) (* (sqrt (/ 1 (pow p 9))) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))))
(* p (+ (sqrt (/ 1 p)) (+ (* -1 (* (sqrt (/ 1 (pow p 5))) (pow q 2))) (+ (* (sqrt (/ 1 (pow p 9))) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))) (* (sqrt (/ 1 (pow p 13))) (+ (* -1/6 (pow q 6)) (+ (* -1/96 (* (pow q 2) (+ (* -192 (pow q 4)) (* 384 (pow q 4))))) (* 1/2880 (+ (* -46080 (pow q 6)) (+ (* -15360 (pow q 6)) (* 46080 (pow q 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))))
(* -2 (log (/ 1 p)))
(+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ 1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* 2 (/ (pow q 2) p))))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)) 1)))
(* (sqrt p) (sqrt -1))
(+ (* (sqrt p) (sqrt -1)) (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))))
(+ (* (sqrt p) (sqrt -1)) (+ (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))) (* (sqrt (/ 1 (pow p 7))) (* (sqrt -1) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4)))))))
(+ (* (sqrt p) (sqrt -1)) (+ (* (sqrt (/ 1 (pow p 3))) (* (pow q 2) (sqrt -1))) (+ (* (sqrt (/ 1 (pow p 7))) (* (sqrt -1) (+ (* -2 (pow q 4)) (* 1/2 (pow q 4))))) (* (sqrt (/ 1 (pow p 11))) (* (sqrt -1) (+ (* -2 (pow q 6)) (+ (* 1/6 (pow q 6)) (* 16/3 (pow q 6)))))))))
(* 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) (* -1 r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r))))) p)) 1/2)))
(* -1 (* p (* 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))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1))))))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow p 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1)))))))
(* -1 (* p (+ (* -1 (* (sqrt (/ 1 p)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow p 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -192 (pow q 4)) (* 384 (pow q 4)))) (* 1/2 (pow q 4)))))) (+ (* -1 (* (sqrt (/ 1 (pow p 13))) (* (sqrt -1) (+ (* -1/6 (pow q 6)) (+ (* -1/96 (* (pow q 2) (+ (* -192 (pow q 4)) (* 384 (pow q 4))))) (* 1/2880 (+ (* -46080 (pow q 6)) (+ (* -15360 (pow q 6)) (* 46080 (pow q 6)))))))))) (* (sqrt (/ 1 (pow p 5))) (* (pow q 2) (sqrt -1))))))))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -2 (log (/ -1 p)))
(+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (* 4 (/ (pow q 2) (pow p 2)))))
(+ (* -8 (/ (pow q 4) (pow p 4))) (+ (* -2 (log (/ -1 p))) (+ (* 4 (/ (pow q 2) (pow p 2))) (* 64/3 (/ (pow q 6) (pow p 6))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 r)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -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))
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(/ (pow q 2) r)
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))
(* r (- (+ (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))) (+ (/ (fabs p) r) (/ (fabs r) r))) (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* -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))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ 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))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(* -1 (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (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 (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1/2 (* -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 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 2 (/ 1 p))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ r (pow p 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow p 3))) (+ (* 6 (/ r (pow p 4))) (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5))))))))) (* 2 (/ 1 p))))))) p)
(* (pow 1 1/4) (sqrt p))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 3))) (pow q 2))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -3/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 7))) (pow q 2)))) (* (pow 1 1/4) (sqrt (/ 1 (pow p 3)))))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* (pow 1 1/4) (sqrt (/ 1 (pow p 3)))) (* (pow q 2) (+ (* -3/2 (* (pow 1 1/4) (sqrt (/ 1 (pow p 7))))) (* 7/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 11))) (pow q 2)))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3)))))) (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ r (pow p 6))) (* 4 (/ 1 (pow p 5)))))) (* 1/2 (+ (* 6 (/ r (pow p 4))) (* 2 (/ 1 (pow p 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -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))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 3))) (pow q 2)))) (* (pow 1 1/4) (sqrt p)))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow p 3))))) (* 5/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 7))) (pow q 2)))))))
(+ (* (pow 1 1/4) (sqrt p)) (* (pow q 2) (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow p 3))))) (* (pow q 2) (+ (* -15/2 (* (pow 1 1/4) (* (sqrt (/ 1 (pow p 11))) (pow q 2)))) (* 5/2 (* (pow 1 1/4) (sqrt (/ 1 (pow p 7))))))))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(log (pow p 2))
(+ (log (pow p 2)) (* 4 (/ (pow q 2) (pow p 2))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* -8 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2))))))
(+ (log (pow p 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 64/3 (/ (pow q 2) (pow p 6))) (* 8 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q))))))) (pow q 2))) (+ (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4)) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ 1 q)))))) (+ (* -1/2048 (pow p 6)) (+ (* 1/24576 (pow p 6)) (* 1/768 (pow p 6))))) (pow q 6)))))
(* -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 (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -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 (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q))))))) (+ (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* -1/1536 (* (pow p 2) (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))) (+ (* -1/24576 (pow p 6)) (* 1/2880 (+ (* -45/4 (pow p 6)) (+ (* -15/4 (pow p 6)) (* 45/4 (pow p 6))))))))) (pow q 6)) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4)))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(+ (log 4) (* -2 (log (/ 1 q))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ 1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* (pow p 3) r) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2)))) q)))) q)) 2)))
(exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4))))
(+ (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* 1/16 (/ (* (pow p 2) (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q))))))) (pow q 2))) (+ (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/128 (pow p 4)) (* 1/512 (pow p 4)))) (pow q 4)) (/ (* (exp (* 1/4 (+ (log 4) (* -2 (log (/ -1 q)))))) (+ (* -1/2048 (pow p 6)) (+ (* 1/24576 (pow p 6)) (* 1/768 (pow p 6))))) (pow q 6)))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow p 2)))) (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (+ (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* -1/1536 (* (pow p 2) (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))) (+ (* -1/24576 (pow p 6)) (* 1/2880 (+ (* -45/4 (pow p 6)) (+ (* -15/4 (pow p 6)) (* 45/4 (pow p 6))))))))) (pow q 6)) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(+ (log 4) (* -2 (log (/ -1 q))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))

Outputs
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 2 binary64) q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 p r) q) #s(literal 1/2 binary64) (fabs.f64 r)) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 p r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/2 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q))
(* (pow 4 1/4) (sqrt q))
(*.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(+ (* 1/16 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 3)))))) (* (pow 4 1/4) (sqrt q)))
(fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 7)))))) (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -3/512 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 7 binary64)))) (.f64 p p)) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))))) (.f64 p p) (*.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 4 1/4) (sqrt q)) (* (pow p 2) (+ (* 1/16 (* (pow 4 1/4) (sqrt (/ 1 (pow q 3))))) (* (pow p 2) (+ (* -3/512 (* (pow 4 1/4) (sqrt (/ 1 (pow q 7))))) (* 7/8192 (* (pow 4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 11)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 7/8192 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 11 binary64)))) (.f64 p p)) (.f64 (.f64 #s(literal -3/512 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 7 binary64)))))) (.f64 p p))) (.f64 p p) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (fma.f64 (.f64 p (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 (.f64 p r) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))))) p (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q)) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p r) q)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q)) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 p q) (*.f64 #s(literal 1/4 binary64) (/.f64 r q))) p))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 p r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 #s(literal 1/4 binary64) (/.f64 r q))) p (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 2 binary64) q))))
(- (+ (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))
(+.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 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 q q)) (*.f64 r 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 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 q q)) (*.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)
(-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 q q)) (.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 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) p)) (*.f64 (/.f64 q r) (/.f64 q 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))))
(* 2 q)
(*.f64 #s(literal 2 binary64) q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 #s(literal 2 binary64) 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)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.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 #s(literal 2 binary64) q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 p p)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (fabs.f64 r)) (fabs.f64 p)) (.f64 #s(literal 2 binary64) 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))
(-.f64 (+.f64 (fma.f64 (-.f64 (.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) (fabs.f64 r)) (fabs.f64 p)) (*.f64 #s(literal 2 binary64) q))
(* (pow 1/4 1/4) (* p (sqrt (/ 1 q))))
(.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) q)))
(* p (+ (* -1/16 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 5)))))) (* (pow 1/4 1/4) (sqrt (/ 1 q)))))
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(* p (+ (* (pow 1/4 1/4) (sqrt (/ 1 q))) (* (pow p 2) (+ (* -1/16 (* (pow 1/4 1/4) (sqrt (/ 1 (pow q 5))))) (* 5/512 (* (pow 1/4 1/4) (* (pow p 2) (sqrt (/ 1 (pow q 9))))))))))
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(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
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(- (+ (fabs p) (fabs r)) p)
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(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
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(log (pow p 2))
(log.f64 (*.f64 p p))
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(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
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(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* (pow p 3) r)) (* -1/64 (pow p 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2))))) 1))
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(fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) (pow.f64 p #s(literal 3 binary64))) (.f64 q q)) #s(literal -1/16 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) p))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4))))
(fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) (pow.f64 p #s(literal 3 binary64))) (.f64 q q)) #s(literal -1/16 binary64) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) p (.f64 p (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/512 binary64)))) (pow.f64 q #s(literal 4 binary64))))))
(+ (* -1/16 (/ (* (pow p 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (pow q 2))) (+ (* p (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q))))))) (+ (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* -1/1536 (* (pow p 2) (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))) (+ (* -1/24576 (pow p 6)) (* 1/2880 (+ (* -45/4 (pow p 6)) (+ (* -15/4 (pow p 6)) (* 45/4 (pow p 6))))))))) (pow q 6)) (/ (* p (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 q)))))) (+ (* 1/512 (pow p 4)) (* 1/96 (+ (* -3/4 (pow p 4)) (* 3/2 (pow p 4))))))) (pow q 4)))))
(fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) (pow.f64 p #s(literal 3 binary64))) q) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) p (fma.f64 p (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/512 binary64)))) (pow.f64 q #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) p) (fma.f64 (.f64 #s(literal -1/1536 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3/4 binary64)) (fma.f64 (fma.f64 #s(literal -45/4 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 15/2 binary64))) #s(literal 1/2880 binary64) (*.f64 #s(literal -1/24576 binary64) (pow.f64 p #s(literal 6 binary64)))))) (pow.f64 q #s(literal 6 binary64))))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (neg.f64 q) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 r r) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)))
(+ (log 4) (* -2 (log (/ -1 q))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64)))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (* 1/4 (/ (pow p 2) (pow q 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))) (.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q)))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))))
(+ (log 4) (+ (* -2 (log (/ -1 q))) (+ (* -1/32 (/ (pow p 4) (pow q 4))) (+ (* 1/192 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))))

rewrite311.0ms (3%)

Memory

-41.1MiB live, 265.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	596
0	121	564
1	521	536
2	4058	536
0	8548	488

Stop Event

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

Counts

26 → 479

Calls

Call 1

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

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

eval213.0ms (2.1%)

Memory: -1.4MiB live, 185.8MiB allocated
Compiler: Compiled 60 213 to 4 747 computations (92.1% saved)

prune178.0ms (1.7%)

Memory

-5.3MiB live, 157.0MiB allocated

Pruning

47 alts after pruning (40 fresh and 7 done)

	Pruned	Kept	Total
New	824	14	838
Fresh	2	26	28
Picked	2	3	5
Done	0	4	4
Total	828	47	875

Accuracy

89.2%

Counts

875 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	23.9%	(.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)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
	44.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	34.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) #s(approx (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 q)) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))) p)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
	37.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (/.f64 p (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 p (.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	39.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
	14.9%	#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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	18.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	29.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (exp.f64 (log.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	15.9%	#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))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal -1/2 binary64))) (.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)))
✓	9.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.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)))
	13.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	15.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	14.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
	22.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1 binary64) p)) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (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))
	21.6%	#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))
	21.6%	#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))
✓	21.6%	#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))
	22.6%	#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))
✓	21.1%	#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)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	9.9%	#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) (* r r))) (fma.f64 (*.f64 (/.f64 q r) q) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
	22.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (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)))
	32.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) q (fabs.f64 r))))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #s(literal -1/2 binary64)) r))
	8.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 p r))) #s(literal 1/2 binary64)))
	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
✓	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.6%	#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))
✓	35.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	32.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	32.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
	10.9%	#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) (* r r)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
	11.6%	#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) (* r r)))) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r)) (.f64 q q) (*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
	13.0%	#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) (* r r)))) 1/2) (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	12.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	19.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (fma.f64 (.f64 q q) p (.f64 (.f64 q q) r))) (.f64 r r))))
	24.2%	#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) (neg.f64 (.f64 (.f64 q q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r)))))

Compiler

Compiled 7 391 to 2 433 computations (67.1% saved)

regimes234.0ms (2.3%)

Memory

31.2MiB live, 273.4MiB allocated

Counts

69 → 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 (+ ( (/ (+ (+ (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 r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.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)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) 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) (neg.f64 (.f64 (.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)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (*.f64 (/.f64 q r) q) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) 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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (fma.f64 (.f64 q q) p (.f64 (.f64 q q) r))) (.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) q (fabs.f64 r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.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)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1 binary64) p)) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))) r)))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 q)) #s(literal -2 binary64) (log.f64 #s(literal 4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 r r)) #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 r #s(literal 4 binary64)))) p (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r))) (.f64 q q) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.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)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.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)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 6 binary64))) #s(literal 64 binary64) (.f64 (/.f64 (fma.f64 (.f64 (.f64 p (pow.f64 r #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 r #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 r #s(literal 10 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 r #s(literal 5 binary64)))) (.f64 r r)) #s(literal 4 binary64)))) (/.f64 #s(literal -10 binary64) (pow.f64 r #s(literal 6 binary64)))) p (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 5 binary64)))) (.f64 q q) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (/.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 r r)) #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (pow.f64 r #s(literal 4 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 r #s(literal 4 binary64)))) p (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64))))) (.f64 q q) (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r))) (.f64 q q) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))

Outputs

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

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

Calls

7 calls:

48.0ms	p
40.0ms	q
38.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
35.0ms	(pow.f64 q #s(literal 2 binary64))
27.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
53.2%	2	`p`
71.9%	3	`r`
61.7%	2	`q`
52.4%	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)))))))`
52.4%	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))))))`
61.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
61.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes41.0ms (0.4%)

Memory

1.8MiB live, 39.8MiB allocated

Counts

63 → 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 (+ ( (/ (+ (+ (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 r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.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)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) 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) (neg.f64 (.f64 (.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)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (*.f64 (/.f64 q r) q) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) 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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (fma.f64 (.f64 q q) p (.f64 (.f64 q q) r))) (.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) q (fabs.f64 r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.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)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1 binary64) p)) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))) 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 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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))
(.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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r)) (.f64 q q) (*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (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)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (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 (+.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)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.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 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal -1/2 binary64))) (.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 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (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)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (exp.f64 (log.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (/.f64 p (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 p (.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.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 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (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 p p) (pow.f64 (-.f64 (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 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (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 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) p))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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) (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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
66.7%	2	`r`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes91.0ms (0.9%)

Memory

-16.5MiB live, 179.7MiB allocated

Counts

59 → 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 (+ ( (/ (+ (+ (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 r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (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 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (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 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 #s(literal 2 binary64) q) 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 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))

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

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

Calls

4 calls:

20.0ms	(pow.f64 q #s(literal 2 binary64))
18.0ms	q
17.0ms	r
16.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.5%	2	`q`
59.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.5%	2	`(pow.f64 q #s(literal 2 binary64))`
62.0%	3	`r`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes51.0ms (0.5%)

Memory

3.7MiB live, 122.3MiB allocated

Counts

53 → 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 (+ ( (/ (+ (+ (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 r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (fma.f64 q #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.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)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) 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) (neg.f64 (.f64 (.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)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (*.f64 (/.f64 q r) q) #s(literal 2 binary64) r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) 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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (fma.f64 (.f64 q q) p (.f64 (.f64 q q) r))) (.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (fma.f64 (/.f64 (*.f64 r r) q) #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) q (fabs.f64 r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ r (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2)) (/ p (pow (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))) 1/2))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (* 2 q) (* 2 q)) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.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)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1 binary64) p)) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))) 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 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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))
(.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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 q #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 q q (*.f64 #s(literal 0 binary64) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r)) (.f64 q q) (*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (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)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (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 (+.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)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 p p))) #s(literal -1/2 binary64))) (.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 (exp.f64 (.f64 #s(approx (log (+ (* (* q q) 4) (* p p))) (log.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal -1/2 binary64))) (.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 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (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)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64))) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/4 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)))))) (.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))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (exp.f64 (log.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) q) p)))) (fabs.f64 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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

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

Calls

3 calls:

17.0ms	(pow.f64 q #s(literal 2 binary64))
16.0ms	r
14.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.5%	2	`(pow.f64 q #s(literal 2 binary64))`
60.1%	3	`r`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes20.0ms (0.2%)

Memory

13.5MiB live, 52.9MiB 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 (+ ( (/ (+ (+ (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 r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
38.0%	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)))))))`
38.0%	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))))))`
38.5%	2	`p`
35.1%	1	`r`
43.7%	2	`q`
43.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
43.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes15.0ms (0.1%)

Memory

2.0MiB live, 41.7MiB allocated

Accuracy

Total -21.5b remaining (-51.8%)

Threshold costs -21.5b (-51.8%)

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 (+ ( (/ (+ (+ (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

6 calls:

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

Results

Accuracy	Segments	Branch
35.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
35.1%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
35.1%	1	`p`
35.1%	1	`q`
35.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
35.1%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 50 to 51 computations (-2% saved)

bsearch70.0ms (0.7%)

Memory

0.2MiB live, 121.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0728967969923524e+38	3.2915547261990144e+38
44.0ms	6.828299991047651e-292	1.71437889587566e-287

Samples

24.0ms	92×	0	valid
21.0ms	73×	2	valid
8.0ms	43×	1	valid

Compiler

Compiled 2 345 to 1 397 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 18.0ms (40.1% of total)

ival-pow2: 7.0ms (15.6% of total)

adjust: 5.0ms (11.1% of total)

ival-sub: 4.0ms (8.9% of total)

ival-mult: 4.0ms (8.9% of total)

ival-sqrt: 4.0ms (8.9% of total)

ival-fabs: 2.0ms (4.5% of total)

ival-div: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory

-7.1MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0728967969923524e+38	3.2915547261990144e+38

Samples

4.0ms	14×	2	valid
3.0ms	13×	1	valid
2.0ms	21×	0	valid

Compiler

Compiled 1 075 to 564 computations (47.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 1.0ms (15% of total)

adjust: 1.0ms (15% of total)

ival-mult: 1.0ms (15% of total)

ival-pow2: 1.0ms (15% of total)

ival-sqrt: 1.0ms (15% of total)

ival-add: 1.0ms (15% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory

-3.4MiB live, 77.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0728967969923524e+38	3.2915547261990144e+38
29.0ms	-2.3934563951896803e-6	-1.4182479181760156e-9

Samples

11.0ms	51×	1	valid
6.0ms	57×	0	valid
5.0ms	20×	2	valid

Compiler

Compiled 1 785 to 1 050 computations (41.2% saved)

Precisions

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

adjust: 3.0ms (18.2% of total)

ival-pow2: 3.0ms (18.2% of total)

ival-sub: 2.0ms (12.2% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

ival-div: 1.0ms (6.1% of total)

ival-fabs: 1.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.649423661568116e-198	1.209241530060169e-196

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.649423661568116e-198	1.209241530060169e-196

Compiler

Compiled 25 to 25 computations (0% saved)

simplify62.0ms (0.6%)

Memory

-22.3MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	1003
1	251	999
2	515	999
3	1665	999
4	5825	999

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 r #s(literal 807557462926431/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 r #s(literal 179999999999999984614178123333712740352 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))))
(if (<=.f64 r #s(literal -5548780617371833/2361183241434822606848 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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (/.f64 p (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 p (.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 r #s(literal 807557462926431/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 r #s(literal 807557462926431/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r #s(approx (pow (sqrt (+ ( (* 2 q) (* 2 q)) (* p p))) 1/2) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (pow.f64 (pow.f64 q #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 p p)) (.f64 (sqrt.f64 q) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (.f64 #s(literal 2 binary64) q) 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 (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (pow.f64 r #s(literal -1 binary64))) (.f64 r r)) (pow.f64 (.f64 r r) #s(literal -1 binary64)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 r #s(literal 179999999999999984614178123333712740352 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))))
(if (<=.f64 r #s(literal 179999999999999984614178123333712740352 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (/.f64 p (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) q) p) #s(literal 1/2 binary64))) (+.f64 (-.f64 (fabs.f64 p) (hypot.f64 p (.f64 q #s(literal 2 binary64)))) (fabs.f64 r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (pow.f64 r #s(literal -1 binary64))) (.f64 r r)) (pow.f64 (.f64 r r) #s(literal -1 binary64)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))))
(if (<=.f64 r #s(literal -5548780617371833/2361183241434822606848 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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (/.f64 p (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 p (.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (.f64 r r)) (/.f64 #s(literal 1 binary64) (.f64 r r)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 r #s(literal -5548780617371833/2361183241434822606848 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) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)) (if (<=.f64 r #s(literal 115000000000000005911390966139800518656 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 r (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (/.f64 p (sqrt.f64 (hypot.f64 p (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 p (.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 p (/.f64 (+.f64 (/.f64 p (.f64 r r)) (pow.f64 r #s(literal -1 binary64))) (.f64 r r)) (pow.f64 (.f64 r r) #s(literal -1 binary64)))) p (/.f64 #s(literal -1 binary64) r)) (.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (+ (* (* -1/4 p) (* (+ (* (neg r) (/ r (+ (* (* q q) 4) (* r r)))) 1) (+ (* (sqrt (/ 1 (pow (+ (* (* q q) 4) (* r r)) 3))) (* r p)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r))))))) (* (* 1/2 r) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness980.0ms (9.6%)

Memory

34.1MiB live, 1 058.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	596
0	121	564
1	521	536
2	4058	536
0	8548	488
0	67	576
0	113	570
1	463	553
2	3779	553
0	8286	548
0	620	3260
1	1907	3079
2	6213	2943
0	8129	2744
0	1535	9143
1	4733	8863
0	8112	8264
0	1513	7920
1	4571	7801
0	8423	7373
0	67	569
0	99	562
1	365	551
2	2829	551
0	8228	418

Stop Event

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

Compiler

Compiled 1 458 to 463 computations (68.2% saved)

preprocess87.0ms (0.8%)

Memory: 3.0MiB live, 161.7MiB allocated
Compiler: Compiled 3 316 to 824 computations (75.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.6s (25.3%)

explain290.0ms (2.8%)

preprocess226.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify163.0ms (1.6%)

localize118.0ms (1.2%)

series49.0ms (0.5%)

simplify208.0ms (2%)

rewrite378.0ms (3.7%)

eval102.0ms (1%)

prune66.0ms (0.6%)

simplify166.0ms (1.6%)

localize429.0ms (4.2%)

series87.0ms (0.9%)

simplify222.0ms (2.2%)

rewrite204.0ms (2%)

eval151.0ms (1.5%)

prune62.0ms (0.6%)

simplify207.0ms (2%)

localize375.0ms (3.7%)

series31.0ms (0.3%)

simplify181.0ms (1.8%)

rewrite199.0ms (1.9%)

eval157.0ms (1.5%)

prune117.0ms (1.1%)

simplify256.0ms (2.5%)

localize418.0ms (4.1%)

series110.0ms (1.1%)

simplify274.0ms (2.7%)

rewrite311.0ms (3%)

eval213.0ms (2.1%)

prune178.0ms (1.7%)

regimes234.0ms (2.3%)

regimes41.0ms (0.4%)

regimes91.0ms (0.9%)

regimes51.0ms (0.5%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

bsearch70.0ms (0.7%)

bsearch15.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.6%)

soundness980.0ms (9.6%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling