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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.7s (33.9%)

Memory

56.7MiB live, 3 285.6MiB allocated

Samples

909.0ms	2 153×	2	valid
781.0ms	3 153×	1	valid
469.0ms	2 950×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

adjust: 379.0ms (21% of total)

ival-pow2: 286.0ms (15.9% of total)

ival-mult: 258.0ms (14.3% of total)

ival-add: 251.0ms (13.9% of total)

ival-sqrt: 192.0ms (10.6% of total)

ival-sub: 187.0ms (10.4% of total)

ival-div: 154.0ms (8.5% of total)

ival-fabs: 75.0ms (4.2% of total)

exact: 11.0ms (0.6% of total)

ival-true: 7.0ms (0.4% of total)

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

Bogosity

explain280.0ms (3.5%)

Memory

3.3MiB live, 589.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
155	0	-	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
113	1	(3.466815144455952e-9 -1427527334218639.3 -4.821544606731304e-155)	-	`(-.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	-	-	`q`
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	-	-	`(-.f64 p r)`
0	0	-	-	`(pow.f64 q #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	0	-	-	`(fabs.f64 p)`
0	0	-	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`p`
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	-	-	`(fabs.f64 r)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`r`
0	1	(-5.476020757514875e+132 -1.2090148036644776e-44 1.0362228636443614e-162)	-	`(*.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	152	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	152
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	73
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	109
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	73
`-.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	114	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	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	12
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	60

Confusion

	Predicted +	Predicted -
+	203	0
-	1	52

Precision

0.9950980392156863

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	203	0	0
-	1	0	52

Precision?

0.9950980392156863

Recall?

1.0

Freqs

test

number	freq
0	52
1	139
2	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	156×	2	valid
39.0ms	168×	1	valid
25.0ms	188×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

adjust: 17.0ms (21.1% of total)

ival-pow2: 14.0ms (17.4% of total)

ival-mult: 13.0ms (16.1% of total)

ival-sub: 10.0ms (12.4% of total)

ival-add: 9.0ms (11.2% of total)

ival-sqrt: 8.0ms (9.9% of total)

ival-fabs: 5.0ms (6.2% of total)

ival-div: 3.0ms (3.7% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess201.0ms (2.5%)

Memory

-20.6MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	145	184
2	323	184
3	882	184
4	1431	184
5	1984	184
6	2215	184
7	2491	184
8	2798	184
9	3143	184
10	3638	184
11	4071	184
12	4550	184
13	4883	184
14	5265	184
15	5549	184
16	5788	184
17	6041	184
18	6598	184
19	7201	184
20	7872	184
0	18	20
0	31	20
1	50	20
2	86	20
3	205	20
4	376	20
5	494	20
6	547	20
7	595	20
8	621	20
9	665	20
10	732	20
11	849	20
12	920	20
13	980	20
14	1082	20
15	1188	20
16	1296	20
17	1375	20
18	1449	20
19	1557	20
20	1654	20
21	1755	20
22	1817	20
23	1849	20
24	1879	20
25	1899	20
26	1919	20
0	1919	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 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

simplify61.0ms (0.8%)

Memory

-2.4MiB live, 45.0MiB 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	50	93
2	86	93
3	205	93
4	376	93
5	494	93
6	547	93
7	595	93
8	621	93
9	665	93
10	732	93
11	849	93
12	920	93
13	980	93
14	1082	93
15	1188	93
16	1296	93
17	1375	93
18	1449	93
19	1557	93
20	1654	93
21	1755	93
22	1817	93
23	1849	93
24	1879	93
25	1899	93
26	1919	93
0	1919	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 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.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

localize76.0ms (1%)

Memory

-13.5MiB live, 130.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.03582001953688403	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	25.855650427578915	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	35.945131040519676	(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

30.0ms	78×	2	valid
19.0ms	84×	1	valid
11.0ms	94×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

adjust: 8.0ms (19% of total)

ival-fabs: 8.0ms (19% of total)

ival-pow2: 7.0ms (16.6% of total)

ival-mult: 5.0ms (11.9% of total)

ival-sub: 4.0ms (9.5% of total)

ival-sqrt: 4.0ms (9.5% of total)

ival-add: 4.0ms (9.5% of total)

ival-div: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

37.3MiB live, 37.3MiB 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
2.0ms	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))
2.0ms	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))
2.0ms	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))

simplify181.0ms (2.3%)

Memory

-15.5MiB live, 328.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3242
1	2044	3049
2	7882	3021
0	8181	2821

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

rewrite137.0ms (1.7%)

Memory

17.7MiB live, 298.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	31	72
1	114	72
2	780	68
0	8827	64

Stop Event

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

Counts

7 → 239

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

eval62.0ms (0.8%)

Memory: -47.7MiB live, 146.5MiB allocated
Compiler: Compiled 16 443 to 1 982 computations (87.9% saved)

prune30.0ms (0.4%)

Memory

-6.1MiB live, 64.3MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	343	19	362
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	19	363

Accuracy

67.7%

Counts

363 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 p p) #s(literal 1/4 binary64)) (pow.f64 (.f64 p p) #s(literal 1/4 binary64)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	12.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	4.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	15.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.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 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
▶	35.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	20.9%	(.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 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
▶	16.5%	#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)))
	16.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 q q) r) p (*.f64 q q))) r) r)) #s(literal 1/2 binary64)) r))
▶	19.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	37.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 416 to 982 computations (30.6% saved)

simplify173.0ms (2.2%)

Memory

14.7MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	434
0	69	434
1	119	434
2	244	434
3	607	434
4	1139	434
5	1808	434
6	2319	434
7	2771	434
8	3456	434
9	4690	434
10	6249	434
11	7752	434
0	8073	427

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

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

localize150.0ms (1.9%)

Memory

1.3MiB live, 285.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	18.959616569648116	(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)))))
accuracy	19.950755114206963	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	30.193670197593388	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	30.331531111125148	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	0.0078125	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	19.950755114206963	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	30.193670197593388	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	35.19946154190012	#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	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	25.855650427578915	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
accuracy	40.43322131361777	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.24293320265341	#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	40.2518971725302	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

50.0ms	78×	2	valid
44.0ms	84×	1	valid
24.0ms	94×	0	valid

Compiler

Compiled 393 to 39 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 21.0ms (27.1% of total)

adjust: 14.0ms (18% of total)

ival-add: 12.0ms (15.5% of total)

ival-sqrt: 9.0ms (11.6% of total)

ival-pow2: 7.0ms (9% of total)

ival-sub: 6.0ms (7.7% of total)

ival-div: 4.0ms (5.2% of total)

ival-fabs: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series37.0ms (0.5%)

Memory

-18.9MiB live, 73.5MiB allocated

Counts

21 → 226

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
5.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
3.0ms	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) (/ 1 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))))) (+ (fabs p) (fabs 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 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
3.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
3.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))

simplify182.0ms (2.3%)

Memory

7.1MiB live, 246.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1132	5901
1	3736	5739
0	8355	5427

Stop Event

1×	iter limit
1×	node limit

Counts

226 → 223

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

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

rewrite155.0ms (2%)

Memory

33.2MiB live, 266.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	342
0	69	342
1	255	338
2	1802	308
0	9390	301

Stop Event

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

Counts

21 → 316

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

Outputs
#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 p #s(literal -1/2 binary64)))
(*.f64 p #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal 1/2 binary64)
(.f64 (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
(fma.f64 p #s(literal 1/2 binary64) (.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal 1/2 binary64) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))
(+.f64 (.f64 p #s(literal 1/2 binary64)) (.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 #s(literal 1/2 binary64) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 p p) (pow.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 p (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 p (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)))
(/.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 r p))) (/.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p))))
(-.f64 (/.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))))
(-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
(+.f64 (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) p)
(+.f64 r (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(+.f64 p (-.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 r (+.f64 r p) (.f64 p p)) (.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r r (.f64 p (-.f64 p r))) (.f64 (fma.f64 r r (.f64 p (-.f64 p r))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (fma.f64 r r (.f64 p (-.f64 p r))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 p p (*.f64 r r))) (neg.f64 (-.f64 p r)))
(/.f64 (neg.f64 (*.f64 (+.f64 r p) (-.f64 r p))) (neg.f64 (-.f64 r p)))
(/.f64 (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 (neg.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 r r (*.f64 p (-.f64 p r)))))
(/.f64 (fma.f64 p p (*.f64 r r)) (-.f64 p r))
(/.f64 (*.f64 (+.f64 r p) (-.f64 r p)) (-.f64 r p))
(/.f64 (+.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 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 r r (*.f64 p (-.f64 p r))))
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) p)
(fma.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)) r)
(fma.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)) r)
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) r)
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) r)
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) r)
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) p)
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(sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)))
(fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)))
(*.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(pow.f64 p #s(literal 1 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
p
(*.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64))
(pow.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(pow.f64 r #s(literal 1 binary64))
(neg.f64 r)
(sqrt.f64 (*.f64 r r))
(fabs.f64 r)
(exp.f64 (/.f64 (*.f64 (log.f64 r) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 r) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 r) #s(literal 1 binary64)))
r
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))
(/.f64 (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (.f64 r r) (.f64 (.f64 q q) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 r #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 r #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (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.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (neg.f64 (sqrt.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))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))) (.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))) (pow.f64 r #s(literal 6 binary64)))) (.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 r #s(literal 8 binary64)))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 r #s(literal 12 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 r #s(literal 8 binary64)) (.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 r #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (.f64 r r) (.f64 (.f64 q q) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 r #s(literal 6 binary64))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) (+.f64 (pow.f64 r #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (.f64 #s(literal 4 binary64) (neg.f64 q))) q (.f64 r r))
(fma.f64 (fabs.f64 (.f64 q #s(literal 4 binary64))) q (.f64 r r))
(fma.f64 (sqrt.f64 (pow.f64 r #s(literal 3 binary64))) (sqrt.f64 r) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 r)) (exp.f64 (log.f64 r)) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (.f64 r r))
(fma.f64 (sqrt.f64 r) (sqrt.f64 (pow.f64 r #s(literal 3 binary64))) (.f64 (.f64 q q) #s(literal 4 binary64)))
(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 r r (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(literal 4 binary64)) (.f64 r r))
(fma.f64 q (fabs.f64 (.f64 (neg.f64 q) #s(literal 4 binary64))) (.f64 r r))
(fma.f64 q (fabs.f64 (.f64 q #s(literal 4 binary64))) (.f64 r r))
(fma.f64 q (.f64 q #s(literal 4 binary64)) (.f64 r r))
(fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 r r))
(sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (/.f64 (pow.f64 r #s(literal 4 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 r r))
(-.f64 (.f64 r r) (.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))
(-.f64 (.f64 r r) (.f64 (neg.f64 q) (*.f64 q #s(literal 4 binary64))))
(-.f64 (.f64 r r) (.f64 #s(literal -4 binary64) (*.f64 q q)))
(fabs.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(hypot.f64 (neg.f64 (neg.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) (*.f64 r r))
(hypot.f64 (neg.f64 (.f64 (.f64 q q) #s(literal 4 binary64))) (*.f64 r r))
(hypot.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 r r))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))) (/.f64 (pow.f64 r #s(literal 6 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 r r))
(+.f64 (.f64 r r) (.f64 (*.f64 q q) #s(literal 4 binary64)))

eval143.0ms (1.8%)

Memory: 23.0MiB live, 290.0MiB allocated
Compiler: Compiled 45 592 to 3 646 computations (92% saved)

prune45.0ms (0.6%)

Memory

-19.5MiB live, 70.6MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	754	11	765
Fresh	9	5	14
Picked	3	2	5
Done	0	0	0
Total	766	18	784

Accuracy

90.8%

Counts

784 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	25.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	35.4%	(.f64 (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	35.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)))) #s(literal 1/2 binary64)))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	19.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	31.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64))))
▶	18.8%	#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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
▶	47.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
▶	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) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	37.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	9.2%	#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))

Compiler

Compiled 1 507 to 1 027 computations (31.9% saved)

simplify179.0ms (2.3%)

Memory

29.3MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	718
0	97	718
1	169	713
2	346	713
3	857	713
4	2195	713
5	5214	713
6	7461	713
0	8313	691

Stop Event

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

Calls

Call 1

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

localize228.0ms (2.9%)

Memory

5.7MiB live, 282.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	10.491152670666546	(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)
accuracy	23.03851233595184	(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))
accuracy	24.409028754414816	#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r))
accuracy	35.19946154190012	#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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
accuracy	7.820300570152802	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))
accuracy	17.95457880866123	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
accuracy	30.331531111125148	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	60.04044617233016	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p)))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	25.855650427578915	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
accuracy	40.43322131361777	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.327996385078684	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	17.95457880866123	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
accuracy	47.341764826453584	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))

Samples

79.0ms	94×	2	valid
79.0ms	117×	1	valid
18.0ms	45×	0	valid

Compiler

Compiled 501 to 50 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 41.0ms (32.9% of total)

adjust: 23.0ms (18.5% of total)

ival-add: 16.0ms (12.9% of total)

ival-div: 13.0ms (10.4% of total)

ival-sqrt: 10.0ms (8% of total)

ival-sub: 10.0ms (8% of total)

ival-pow2: 8.0ms (6.4% of total)

ival-fabs: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series50.0ms (0.6%)

Memory

-14.8MiB live, 40.0MiB allocated

Counts

23 → 243

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs 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))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(fabs p)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (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)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* -1/2 r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (/ (* p r) q))
(* r (+ (* -1/16 (/ (* p (pow r 2)) (pow q 3))) (* 1/2 (/ p q))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* 3/256 (/ (* p (pow r 2)) (pow q 5)))))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* (pow r 2) (+ (* -5/2048 (/ (* p (pow r 2)) (pow q 7))) (* 3/256 (/ p (pow q 5)))))))))
(* -2 (/ (pow q 2) (pow r 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (fabs r)))) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (+ (fabs r) (* -1 r))))) (pow r 2))
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (fabs r)))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (+ (fabs r) (* -1 r))))) 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 r)
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(/ 1/2 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)))
(- (+ (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 p) (fabs r)) r)
(/ (+ (fabs p) (+ (fabs r) (* -1 r))) r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (+ (/ (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)))))))
(+ p (* -2 (/ (* p (pow q 2)) (pow r 2))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4)))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* -1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))))))
-1
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* 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))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(/ 1 r)
(/ (+ 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)
(* 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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(+ (* -1 p) (* 2 (/ (* p (pow q 2)) (pow r 2))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* 2 (/ (* p (pow q 2)) (pow r 2)))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (+ (* 1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))) (* 2 (/ (* p (pow q 2)) (pow r 2))))))
(- (* -1 (/ (+ (* -1 (+ (fabs p) (fabs r))) (* 2 (/ (pow q 2) r))) r)) 1)
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) 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 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(/ -1 r)
(* -1 (/ (+ 1 (* -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)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(- (+ 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 (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* 6 (/ (* p (pow q 2)) (pow r 4))))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* -20 (/ (* p (pow q 2)) (pow r 6))) (* 6 (/ p (pow r 4))))))))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)))
(* 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))))
(- 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)
(+ (* -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))
(- (+ (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 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q)
(* (pow q 2) (- (+ (/ (fabs p) (* (pow q 2) r)) (/ (fabs r) (* (pow q 2) r))) (+ (* 2 (/ 1 (pow r 2))) (/ 1 (pow q 2)))))
(* (pow q 2) (- (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* 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))
(* 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)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(* q (- (+ (* -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 r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -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)))
(* -1/2 (/ (* p r) q))
(* -1 (/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q))
(* -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 (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (- (* -1 (/ (+ (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
17.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 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 p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) 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) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (- (/ (+ (fabs r) (fabs p)) r) 1))
7.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 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 p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) 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) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (- (/ (+ (fabs r) (fabs p)) r) 1))
4.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 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 p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) 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) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (- (/ (+ (fabs r) (fabs p)) r) 1))
4.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 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 p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) 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) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (- (/ (+ (fabs r) (fabs p)) r) 1))
4.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 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 p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) 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) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (- (/ (+ (fabs r) (fabs p)) r) 1))

simplify175.0ms (2.2%)

Memory

-3.6MiB live, 226.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1203	6341
1	4005	6316
0	8215	5980

Stop Event

1×	iter limit
1×	node limit

Counts

243 → 240

Calls

Call 1

Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs 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))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(fabs p)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (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)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* -1/2 r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 (/ (* p r) q))
(* r (+ (* -1/16 (/ (* p (pow r 2)) (pow q 3))) (* 1/2 (/ p q))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* 3/256 (/ (* p (pow r 2)) (pow q 5)))))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* (pow r 2) (+ (* -5/2048 (/ (* p (pow r 2)) (pow q 7))) (* 3/256 (/ p (pow q 5)))))))))
(* -2 (/ (pow q 2) (pow r 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (fabs r)))) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (+ (fabs r) (* -1 r))))) (pow r 2))
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (fabs r)))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (+ (fabs r) (* -1 r))))) 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 r)
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(/ 1/2 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)))
(- (+ (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 p) (fabs r)) r)
(/ (+ (fabs p) (+ (fabs r) (* -1 r))) r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (+ (/ (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)))))))
(+ p (* -2 (/ (* p (pow q 2)) (pow r 2))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4)))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* -1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))))))
-1
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* 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))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(/ 1 r)
(/ (+ 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)
(* 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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(+ (* -1 p) (* 2 (/ (* p (pow q 2)) (pow r 2))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* 2 (/ (* p (pow q 2)) (pow r 2)))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (+ (* 1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))) (* 2 (/ (* p (pow q 2)) (pow r 2))))))
(- (* -1 (/ (+ (* -1 (+ (fabs p) (fabs r))) (* 2 (/ (pow q 2) r))) r)) 1)
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) 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 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(/ -1 r)
(* -1 (/ (+ 1 (* -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)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(- (+ 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 (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* 6 (/ (* p (pow q 2)) (pow r 4))))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* -20 (/ (* p (pow q 2)) (pow r 6))) (* 6 (/ p (pow r 4))))))))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)))
(* 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))))
(- 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)
(+ (* -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))
(- (+ (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 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q)
(* (pow q 2) (- (+ (/ (fabs p) (* (pow q 2) r)) (/ (fabs r) (* (pow q 2) r))) (+ (* 2 (/ 1 (pow r 2))) (/ 1 (pow q 2)))))
(* (pow q 2) (- (/ (* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* 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))
(* 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)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(* q (- (+ (* -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 r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -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)))
(* -1/2 (/ (* p r) q))
(* -1 (/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q))
(* -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 (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (- (* -1 (/ (+ (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 (fma.f64 (.f64 p (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 (.f64 r p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))))) p (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (fabs.f64 r)) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
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r
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(* -1/2 (/ (* p r) q))
(.f64 (/.f64 (.f64 r p) q) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) p) q) (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (.f64 (*.f64 #s(literal 1/2 binary64) p) r)) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q))
(/.f64 (fma.f64 (neg.f64 p) (/.f64 (.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) p) q) (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (.f64 (*.f64 #s(literal 1/2 binary64) p) r))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q))
(/.f64 (fma.f64 (neg.f64 p) (/.f64 (.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 p) (/.f64 (.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)))) r) (pow.f64 q #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) p) q) (/.f64 (pow.f64 r #s(literal 3 binary64)) q) (.f64 (.f64 #s(literal 1/2 binary64) p) r)))) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (-.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)) #s(literal 1 binary64)) (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 (-.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))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 #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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 r r) q) (/.f64 (neg.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 r q) (/.f64 r q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 r r)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) q) #s(literal 1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.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))) (neg.f64 q)) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite178.0ms (2.3%)

Memory

10.6MiB live, 238.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	627
0	97	627
1	367	611
2	2921	557
0	9291	539

Stop Event

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

Counts

23 → 276

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p p) r) r)) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p p) r) r)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p p) r) r)))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p p) r) r))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 2 binary64)) (*.f64 r r))) (neg.f64 (+.f64 (+.f64 (+.f64 p p) r) r)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 r r) #s(literal 2 binary64)) (pow.f64 (+.f64 p p) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 r r) (+.f64 p p))))
(/.f64 (neg.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 2 binary64)))) (neg.f64 (-.f64 p (-.f64 (+.f64 p r) r))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 2 binary64)) (fma.f64 r r (*.f64 (+.f64 (+.f64 p p) r) r)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 3 binary64)))) (neg.f64 (fma.f64 p p (-.f64 (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 2 binary64)) (*.f64 p (-.f64 (+.f64 p r) r))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 p p) #s(literal 2 binary64)) (pow.f64 (-.f64 r r) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 p p) (-.f64 r r)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r r) #s(literal 3 binary64)) (pow.f64 (+.f64 p p) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 r r) (-.f64 (-.f64 r r) (+.f64 p p)) (pow.f64 (+.f64 p p) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (-.f64 p p) (.f64 (+.f64 r r) (.f64 p (-.f64 p p))))) (neg.f64 (*.f64 (+.f64 r r) (-.f64 p p))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 p (-.f64 p p) (.f64 p p)) (.f64 (+.f64 r r) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))) (neg.f64 (.f64 (+.f64 r r) (fma.f64 p (-.f64 p p) (.f64 p p)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p p) (.f64 (fma.f64 r r #s(literal 0 binary64)) (.f64 p (-.f64 p p))))) (neg.f64 (*.f64 (fma.f64 r r #s(literal 0 binary64)) (-.f64 p p))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (-.f64 p p) (.f64 p p)) (.f64 (fma.f64 r r #s(literal 0 binary64)) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))) (neg.f64 (.f64 (fma.f64 r r #s(literal 0 binary64)) (fma.f64 p (-.f64 p p) (.f64 p p)))))
(/.f64 (neg.f64 (fma.f64 (.f64 p (-.f64 p p)) (+.f64 r r) (.f64 (-.f64 p p) #s(literal 0 binary64)))) (neg.f64 (*.f64 (-.f64 p p) (+.f64 r r))))
(/.f64 (neg.f64 (fma.f64 (.f64 p (-.f64 p p)) (fma.f64 r r #s(literal 0 binary64)) (.f64 (-.f64 p p) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) (neg.f64 (*.f64 (-.f64 p p) (fma.f64 r r #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 r r) (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) #s(literal 0 binary64)))) (neg.f64 (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) (+.f64 r r))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r r #s(literal 0 binary64)) (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) (neg.f64 (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) (fma.f64 r r #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 2 binary64)) (*.f64 r r)) (+.f64 (+.f64 (+.f64 p p) r) r))
(/.f64 (-.f64 (pow.f64 (-.f64 r r) #s(literal 2 binary64)) (pow.f64 (+.f64 p p) #s(literal 2 binary64))) (-.f64 (-.f64 r r) (+.f64 p p)))
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 2 binary64))) (-.f64 p (-.f64 (+.f64 p r) r)))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 p p) r) #s(literal 2 binary64)) (fma.f64 r r (*.f64 (+.f64 (+.f64 p p) r) r))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 (+.f64 p r) r) #s(literal 2 binary64)) (*.f64 p (-.f64 (+.f64 p r) r)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 p p) #s(literal 2 binary64)) (pow.f64 (-.f64 r r) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 p p) (-.f64 r r))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r r) #s(literal 3 binary64)) (pow.f64 (+.f64 p p) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 r r) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 p p) #s(literal 2 binary64)) (*.f64 (-.f64 r r) (+.f64 p p))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r r) #s(literal 3 binary64)) (pow.f64 (+.f64 p p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 r r) (-.f64 (-.f64 r r) (+.f64 p p)) (pow.f64 (+.f64 p p) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 p p) (.f64 (+.f64 r r) (.f64 p (-.f64 p p)))) (*.f64 (+.f64 r r) (-.f64 p p)))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 p (-.f64 p p) (.f64 p p)) (.f64 (+.f64 r r) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))) (.f64 (+.f64 r r) (fma.f64 p (-.f64 p p) (.f64 p p))))
(/.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p p) (.f64 (fma.f64 r r #s(literal 0 binary64)) (.f64 p (-.f64 p p)))) (*.f64 (fma.f64 r r #s(literal 0 binary64)) (-.f64 p p)))
(/.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (-.f64 p p) (.f64 p p)) (.f64 (fma.f64 r r #s(literal 0 binary64)) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))) (.f64 (fma.f64 r r #s(literal 0 binary64)) (fma.f64 p (-.f64 p p) (.f64 p p))))
(/.f64 (fma.f64 (.f64 p (-.f64 p p)) (+.f64 r r) (.f64 (-.f64 p p) #s(literal 0 binary64))) (*.f64 (-.f64 p p) (+.f64 r r)))
(/.f64 (fma.f64 (.f64 p (-.f64 p p)) (fma.f64 r r #s(literal 0 binary64)) (.f64 (-.f64 p p) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (*.f64 (-.f64 p p) (fma.f64 r r #s(literal 0 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 r r) (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) #s(literal 0 binary64))) (.f64 (fma.f64 p (-.f64 p p) (.f64 p p)) (+.f64 r r)))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 q q) r) r) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) #s(literal 2 binary64))) r) (+.f64 (/.f64 (-.f64 (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (+.f64 p r)) r) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64))) (pow.f64 r #s(literal 6 binary64)))) r) (fma.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal 2 binary64)))))
(/.f64 (.f64 r (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 q q) r) r) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (+.f64 p r)) r) #s(literal 1 binary64)))
(/.f64 (.f64 r (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64))) (pow.f64 r #s(literal 6 binary64))))) (fma.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)) r (*.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) r))
(fma.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) r (.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)) r))
(fma.f64 r (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)) (*.f64 r (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))))
(fma.f64 r (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) (.f64 r (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r))))
(+.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)) r) (.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) r))
(+.f64 (.f64 (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64)) r) (.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)) r))
(+.f64 (.f64 r (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r))) (.f64 r (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))))
(+.f64 (.f64 r (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))) (.f64 r (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q 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 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) r)))
(*.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64))
(pow.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(pow.f64 r #s(literal 1 binary64))
(neg.f64 r)
(sqrt.f64 (*.f64 r r))
(fabs.f64 r)
(exp.f64 (/.f64 (*.f64 (log.f64 r) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 r) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 r) #s(literal 1 binary64)))
r
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/4 binary64)))
(pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 r #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)))
(fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 p r)) r) #s(literal 1 binary64)) r))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 p r) r)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 p r) r))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 p r) r)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 p r) r))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 p r) r)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))
(+.f64 (/.f64 r r) (-.f64 (/.f64 p r) #s(literal 1 binary64)))

eval85.0ms (1.1%)

Memory: 0.9MiB live, 185.0MiB allocated
Compiler: Compiled 38 844 to 3 488 computations (91% saved)

prune39.0ms (0.5%)

Memory

-15.8MiB live, 88.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	560	17	577
Fresh	4	7	11
Picked	4	1	5
Done	0	2	2
Total	568	27	595

Accuracy

93.6%

Counts

595 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	35.4%	(.f64 (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	20.8%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))
	35.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
▶	19.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	21.5%	#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 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	19.9%	#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 (fma.f64 q (.f64 (/.f64 q r) (/.f64 #s(literal -2 binary64) r)) (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	9.6%	#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 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 r r) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r)) (.f64 #s(literal -2 binary64) (.f64 q q)))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 p r) r)) (*.f64 r r))) r)) #s(literal 1/2 binary64)))
▶	13.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)) #s(literal 1/2 binary64)))
	27.6%	#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 #s(approx (+ ( (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) (.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r))) r)) #s(literal 1/2 binary64)))
	30.0%	#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)))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (fabs r) (fabs p)) r) 1)) r) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	2.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (+.f64 p r) r))) #s(literal 1/2 binary64)))
	13.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (+.f64 p p) r) r)) #s(literal 1/2 binary64)))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (-.f64 r r) (+.f64 p p))) #s(literal 1/2 binary64)))
▶	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))) #s(literal 1/2 binary64)))
	34.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r))) #s(literal 1/2 binary64)))
	9.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (fabs.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)) r)) p)) #s(literal 1/2 binary64)))
	8.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal -1/2 binary64))) (*.f64 r p))) #s(literal 1/2 binary64)))
	3.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* r r)))) (/.f64 #s(literal -1/2 binary64) q)) (*.f64 r p))) #s(literal 1/2 binary64)))
	4.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (.f64 (/.f64 (.f64 r p) q) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	37.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	9.2%	#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
▶	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))

Compiler

Compiled 2 883 to 1 742 computations (39.6% saved)

simplify116.0ms (1.5%)

Memory

48.8MiB live, 184.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#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 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)) #s(literal 1/2 binary64)))
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))
cost-diff	2	(.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)
cost-diff	6	(-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r))))
cost-diff	0	(+.f64 r p)
cost-diff	0	(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
cost-diff	0	(.f64 (-.f64 (+.f64 r 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 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.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	(fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
cost-diff	0	#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	757
0	110	757
1	204	747
2	516	737
3	1556	727
4	3984	719
5	7537	719
0	8097	703

Stop Event

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

Calls

Call 1

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

localize295.0ms (3.7%)

Memory

-11.7MiB live, 468.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	10.495059054181377	(.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)
accuracy	16.74997366775151	(-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r))))
accuracy	35.19946154190012	#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 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)) #s(literal 1/2 binary64)))
accuracy	50.80827182299106	#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r))
accuracy	0.0078125	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	19.950755114206963	(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	30.193670197593388	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	35.31968504351216	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
accuracy	0.0	(neg.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	17.95457880866123	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))) #s(literal 1/2 binary64)))
accuracy	61.78960375707041	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.623014729552466	#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	5.128560514958549	(/.f64 p (*.f64 r r))
accuracy	11.018663520723022	(fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
accuracy	17.95457880866123	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
accuracy	34.26972074048447	#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))

Samples

158.0ms	88×	2	valid
53.0ms	74×	1	valid
35.0ms	94×	0	valid

Compiler

Compiled 533 to 62 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-sqrt: 47.0ms (24.3% of total)

adjust: 43.0ms (22.2% of total)

ival-mult: 38.0ms (19.6% of total)

ival-add: 24.0ms (12.4% of total)

ival-sub: 15.0ms (7.8% of total)

ival-div: 15.0ms (7.8% of total)

ival-pow2: 7.0ms (3.6% of total)

ival-fabs: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series46.0ms (0.6%)

Memory

-12.5MiB live, 77.7MiB allocated

Counts

24 → 237

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
(fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r)))
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (neg.f64 r) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(+.f64 r p)
(-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r))))
(.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q 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 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r)))) r)) #s(literal 1/2 binary64)))
(/.f64 p (*.f64 r r))
(fabs.f64 p)
(neg.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))
#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (+.f64 p r) r) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q 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 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r))
(+ (* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (fabs p) (* 2 r))
(- (+ p (fabs p)) (* 2 r))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
r
(+ p r)
(* -2 (/ (pow q 2) (pow r 2)))
(+ (* -2 (/ (pow q 2) (pow r 2))) (/ p r))
(* -2 (/ (pow q 2) r))
(+ p (* -2 (/ (pow q 2) r)))
(/ p (pow r 2))
(fabs p)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))))
(* p (+ (* 1/2 (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (/ (fabs p) p)) (* 2 (/ r p))))
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (/ r p)))
(/ p r)
(* p (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (/ 1 r)))
(* p (+ 1 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1/2 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (+ (* -1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 1/2 (- (* 2 (/ (pow q 2) (pow r 2))) 1)))))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (fabs p) (* 2 r)) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p (pow r 2)))) (/ 1 r))))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p r))) 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 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(* -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))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (fabs p))
(+ p (+ (fabs p) (* -2 r)))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(/ (+ (* -2 (pow q 2)) (* p r)) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* p r)) r)
(* 2 (/ (pow q 2) (pow r 2)))
(/ (- (pow r 2) (* -2 (pow q 2))) (pow r 2))
(* -1 r)
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 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))
(* 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))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -2 r)
(* r (- (+ (/ p r) (/ (fabs p) r)) 2))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* r (+ 1 (/ p r)))
(/ (+ p (* -2 (/ (pow q 2) r))) r)
1
(+ 1 (* 2 (/ (pow q 2) (pow r 2))))
(* 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)))))
(* 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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -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 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 2 (* -1 (/ (+ p (fabs p)) r)))))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (/ (+ (* -1 p) (* 2 (/ (pow q 2) r))) r))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (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) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(- (+ (fabs p) (fabs r)) 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 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))
(* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2)))))
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (+ (* 2 (/ 1 r)) (/ r (pow q 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 r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* (pow q 2) (- (/ p (* (pow q 2) r)) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (- (/ p (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (+ (/ 1 (pow q 2)) (* 2 (/ 1 (pow r 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)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 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 (* 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
13.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (neg r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (- 1 (* (* (/ -2 r) q) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ p (* r r)) (fabs p) (neg r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
6.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (neg r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (- 1 (* (* (/ -2 r) q) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ p (* r r)) (fabs p) (neg r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
4.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (neg r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (- 1 (* (* (/ -2 r) q) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ p (* r r)) (fabs p) (neg r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
4.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (neg r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (- 1 (* (* (/ -2 r) q) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ p (* r r)) (fabs p) (neg r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))
3.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (neg r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (- 1 (* (* (/ -2 r) q) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ p (* r r)) (fabs p) (neg r) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))))

simplify175.0ms (2.2%)

Memory

11.3MiB live, 303.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1070	5100
1	3485	5080
0	8383	4815

Stop Event

1×	iter limit
1×	node limit

Counts

237 → 234

Calls

Call 1

Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r))
(+ (* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (fabs p) (* 2 r))
(- (+ p (fabs p)) (* 2 r))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
r
(+ p r)
(* -2 (/ (pow q 2) (pow r 2)))
(+ (* -2 (/ (pow q 2) (pow r 2))) (/ p r))
(* -2 (/ (pow q 2) r))
(+ p (* -2 (/ (pow q 2) r)))
(/ p (pow r 2))
(fabs p)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))))
(* p (+ (* 1/2 (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (/ (fabs p) p)) (* 2 (/ r p))))
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (/ r p)))
(/ p r)
(* p (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (/ 1 r)))
(* p (+ 1 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1/2 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (+ (* -1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 1/2 (- (* 2 (/ (pow q 2) (pow r 2))) 1)))))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (fabs p) (* 2 r)) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p (pow r 2)))) (/ 1 r))))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p r))) 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 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(* -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))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (fabs p))
(+ p (+ (fabs p) (* -2 r)))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(/ (+ (* -2 (pow q 2)) (* p r)) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* p r)) r)
(* 2 (/ (pow q 2) (pow r 2)))
(/ (- (pow r 2) (* -2 (pow q 2))) (pow r 2))
(* -1 r)
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 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))
(* 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))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -2 r)
(* r (- (+ (/ p r) (/ (fabs p) r)) 2))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* r (+ 1 (/ p r)))
(/ (+ p (* -2 (/ (pow q 2) r))) r)
1
(+ 1 (* 2 (/ (pow q 2) (pow r 2))))
(* 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)))))
(* 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 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -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 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 2 (* -1 (/ (+ p (fabs p)) r)))))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (/ (+ (* -1 p) (* 2 (/ (pow q 2) r))) r))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (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) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(- (+ (fabs p) (fabs r)) 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 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 r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))
(* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2)))))
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (+ (* 2 (/ 1 r)) (/ r (pow q 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 r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* (pow q 2) (- (/ p (* (pow q 2) r)) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (- (/ p (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (+ (/ 1 (pow q 2)) (* 2 (/ 1 (pow r 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)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 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 (* 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 (fma.f64 (.f64 p (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 (.f64 r p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))))) p (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r))
(.f64 (+.f64 (fabs.f64 p) (-.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r)) r)) #s(literal 1/2 binary64))
(+ (* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) p (+.f64 (fabs.f64 p) (-.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r)) r))))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(+.f64 (fabs.f64 p) (-.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r)) r))
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) p (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))) (fabs.f64 r)) (fabs.f64 p)) r)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (fabs.f64 r)) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (fabs p) (* 2 r))
(fma.f64 #s(literal -2 binary64) r (fabs.f64 p))
(- (+ p (fabs p)) (* 2 r))
(+.f64 (fma.f64 #s(literal -2 binary64) r (fabs.f64 p)) p)
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
r
(+ p r)
(+.f64 r p)
(* -2 (/ (pow q 2) (pow r 2)))
(.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r))
(+ (* -2 (/ (pow q 2) (pow r 2))) (/ p r))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (/.f64 p r))
(* -2 (/ (pow q 2) r))
(.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64))
(+ p (* -2 (/ (pow q 2) r)))
(fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p)
(/ p (pow r 2))
(/.f64 p (*.f64 r r))
(fabs p)
(fabs.f64 p)
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 r)) p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) p)
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 r)) p) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (*.f64 p p))) #s(literal 1/2 binary64)) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(.f64 (-.f64 (fma.f64 (.f64 q q) (neg.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 r)) p) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (.f64 p p)))) #s(literal 1/2 binary64)) p)
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) p))) p)
(* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) p) (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) #s(literal 1 binary64)))
(* p (+ (* 1/2 (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p))))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r)) r)) p))) p)
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) p)
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p))) (/.f64 r p)) p)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) (.f64 (/.f64 #s(literal 1 binary64) p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) p)
p
(* p (- (+ 1 (/ (fabs p) p)) (* 2 (/ r p))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) r (fabs.f64 p)) p)) p)
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(.f64 (fma.f64 (/.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (-.f64 (+.f64 (/.f64 r p) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) p)
(* p (+ 1 (/ r p)))
(*.f64 (+.f64 (/.f64 r p) #s(literal 1 binary64)) p)
(/ p r)
(/.f64 p r)
(* p (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (/ 1 r)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 r r)) (/.f64 (*.f64 q q) p) (/.f64 #s(literal 1 binary64) r)) p)
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(.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) q) #s(literal 1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.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))) (neg.f64 q)) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite229.0ms (2.9%)

Memory

3.1MiB live, 247.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	608
0	110	608
1	456	595
2	3990	579
0	8513	564

Stop Event

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

Counts

24 → 282

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (*.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (-.f64 r r)) (+.f64 (fabs.f64 p) p)))
(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 3 binary64)) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 2 binary64)) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (-.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 2 binary64)))) (-.f64 (-.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (*.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (-.f64 r r)) (+.f64 (fabs.f64 p) p)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 3 binary64)) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 3 binary64)))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 2 binary64)) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (-.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) q)) q (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) q) (.f64 q #s(literal 1/2 binary64)) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64) (.f64 (-.f64 r r) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 1/2 binary64) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (*.f64 r r))) (/.f64 #s(literal 2 binary64) r))))
(fma.f64 (.f64 q q) (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (.f64 (.f64 q q) #s(literal 1/2 binary64)) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) (.f64 #s(literal 1/2 binary64) (-.f64 r r)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (*.f64 r r))) (/.f64 #s(literal 2 binary64) r))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)))
(+.f64 (.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64)) (*.f64 (-.f64 r r) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p))) (*.f64 #s(literal 1/2 binary64) (-.f64 r r)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) #s(literal 2 binary64)) (pow.f64 (-.f64 r r) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) (-.f64 r r)))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64))) (-.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) #s(literal 3 binary64)) (pow.f64 (-.f64 r r) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 r r) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) (-.f64 r r)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r))) (-.f64 r r)) (+.f64 (fabs.f64 p) p))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 3 binary64)) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) #s(literal 2 binary64)) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (-.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r) (.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (*.f64 r r))) (/.f64 #s(literal 2 binary64) r))))))))
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(fma.f64 (/.f64 q r) (*.f64 (/.f64 #s(literal 2 binary64) r) q) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r)) #s(literal 2 binary64)) (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (.f64 (.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r)) (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 q (.f64 #s(literal -2 binary64) q)) #s(literal 3 binary64)) (pow.f64 r #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r)) (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q)) (/.f64 q r)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 q r)) (.f64 (/.f64 #s(literal -2 binary64) r) q)))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) r) (.f64 (/.f64 q r) q)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q 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 (fma.f64 (.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r) (+.f64 (/.f64 p r) #s(literal 0 binary64))) r)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 p (neg.f64 r)) (neg.f64 r))
(/.f64 (neg.f64 (/.f64 p r)) (neg.f64 r))
(/.f64 (neg.f64 (neg.f64 p)) (*.f64 r r))
(/.f64 (/.f64 p r) r)
(/.f64 (neg.f64 p) (*.f64 (neg.f64 r) r))
(/.f64 p (*.f64 r r))
(neg.f64 (/.f64 (neg.f64 p) (*.f64 r r)))
(neg.f64 (/.f64 p (*.f64 (neg.f64 r) r)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 p) #s(literal 1 binary64))
(pow.f64 p #s(literal 1 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
(neg.f64 r)
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 r #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 r) r))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fabs.f64 (sqrt.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))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (-.f64 (.f64 r r) (.f64 (.f64 q q) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 r #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (+.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 (neg.f64 r) r)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 r #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 r) r))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 r) r)))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) (+.f64 (pow.f64 r #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 r)) (exp.f64 (log.f64 r)) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (.f64 r r))
(fma.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 r)) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 r r))
(fma.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(literal 4 binary64)) (.f64 r r))
(fma.f64 (neg.f64 r) (neg.f64 r) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
(fma.f64 q (.f64 q #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 q (.f64 q #s(literal 4 binary64)) (.f64 r r))
(fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 (neg.f64 (neg.f64 r)) r))
(fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 r r))
(fma.f64 r r (.f64 (.f64 q q) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 (neg.f64 r) r))) (/.f64 (pow.f64 r #s(literal 4 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 (neg.f64 r) r))))
(-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 (neg.f64 r) r))
(-.f64 (.f64 r r) (.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))
(-.f64 (.f64 r r) (.f64 (neg.f64 q) (*.f64 q #s(literal 4 binary64))))
(-.f64 (.f64 r r) (.f64 #s(literal -4 binary64) (*.f64 q q)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q r) #s(literal 2 binary64)))))) (/.f64 (pow.f64 r #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 r #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q r) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 r)) r))
(+.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 r r))
(+.f64 (.f64 r r) (.f64 (*.f64 q q) #s(literal 4 binary64)))
#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (fma.f64 (.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r) (+.f64 (/.f64 p r) #s(literal 0 binary64))) r))

eval167.0ms (2.1%)

Memory: -19.5MiB live, 126.1MiB allocated
Compiler: Compiled 37 821 to 3 216 computations (91.5% saved)

prune104.0ms (1.3%)

Memory

16.1MiB live, 111.1MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	508	22	530
Fresh	7	12	19
Picked	4	1	5
Done	0	3	3
Total	519	38	557

Accuracy

93.7%

Counts

557 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	35.4%	(.f64 (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	20.8%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))
	35.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	13.2%	#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 (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) (+.f64 (/.f64 p r) #s(literal 0 binary64))) r)) #s(literal 1/2 binary64)))
	13.2%	#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 (fma.f64 (/.f64 #s(literal -2 binary64) r) (.f64 (/.f64 q r) q) (+.f64 (/.f64 p r) #s(literal 0 binary64))) r)) #s(literal 1/2 binary64)))
	12.0%	#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 (fma.f64 (.f64 (/.f64 q r) (/.f64 #s(literal -2 binary64) r)) q (+.f64 (/.f64 p r) #s(literal 0 binary64))) r)) #s(literal 1/2 binary64)))
	21.5%	#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 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (+.f64 p r) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	12.1%	#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 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 r p) r) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r) #s(literal 1 binary64)) (/.f64 (+.f64 r p) r)) (pow.f64 (/.f64 (+.f64 r p) r) #s(literal 2 binary64)))) r)) #s(literal 1/2 binary64)))
	8.3%	#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 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 p r) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r)) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 p r) #s(literal 0 binary64)) (.f64 (*.f64 (/.f64 q r) q) (/.f64 #s(literal -2 binary64) r)))) r)) #s(literal 1/2 binary64)))
	12.4%	#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 (/.f64 (-.f64 (.f64 (+.f64 r p) (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64))) (.f64 r (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r)) #s(literal 2 binary64))))) (.f64 r (fma.f64 (/.f64 q r) (.f64 (/.f64 #s(literal -2 binary64) r) q) #s(literal 1 binary64)))) r)) #s(literal 1/2 binary64)))
	13.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (.f64 (-.f64 (/.f64 (+.f64 r p) r) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) r) q) (/.f64 q r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (.f64 #s(approx (- (/ (+ p r) r) (- 1 ( (* (/ -2 r) q) (/ q r)))) (/.f64 p r)) r)) #s(literal 1/2 binary64)))
	27.6%	#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 #s(approx (- (/ (+ p r) r) (- 1 ( (* (/ -2 r) q) (/ q r)))) (.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r))) r)) #s(literal 1/2 binary64)))
	8.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) p))) #s(literal 1/2 binary64)))
	30.0%	#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)))) #s(approx (* (- (/ (+ p r) r) (- 1 (* (* (/ -2 r) q) (/ q r)))) r) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	25.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 r #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	2.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (+.f64 p r) r))) #s(literal 1/2 binary64)))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (-.f64 r r) (+.f64 p p))) #s(literal 1/2 binary64)))
	9.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (fabs.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)) r)) p)) #s(literal 1/2 binary64)))
	8.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal -1/2 binary64))) (*.f64 r p))) #s(literal 1/2 binary64)))
	3.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* r r)))) (/.f64 #s(literal -1/2 binary64) q)) (*.f64 r p))) #s(literal 1/2 binary64)))
	34.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (+.f64 (fabs.f64 p) p))) #s(literal 1/2 binary64)))
	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (*.f64 #s(literal -2 binary64) r))) #s(literal 1/2 binary64)))
	4.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (.f64 (/.f64 (.f64 r p) q) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	37.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	9.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 #s(literal 1/2 binary64) p (/.f64 (*.f64 (neg.f64 q) q) r))))
	40.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 (/.f64 p r) r) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
	26.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) q) q (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)))))
	34.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (.f64 q q) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) (+.f64 (fabs.f64 p) p)) (-.f64 r r)))))
	29.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (/.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r (.f64 (.f64 (.f64 q q) p) #s(literal -2 binary64))) (.f64 r r))))))
	23.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q))))))
	21.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) #s(approx (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (/.f64 (neg.f64 (fma.f64 (.f64 q q) r (.f64 (.f64 q q) p))) (.f64 r r)))))

Compiler

Compiled 6 457 to 1 918 computations (70.3% saved)

regimes240.0ms (3%)

Memory

14.8MiB live, 203.2MiB allocated

Counts

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

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

Calls

7 calls:

55.0ms	q
54.0ms	(pow.f64 q #s(literal 2 binary64))
42.0ms	(-.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))))))
31.0ms	r
19.0ms	p

Results

Accuracy	Segments	Branch
59.3%	3	`p`
63.6%	3	`r`
75.8%	2	`q`
59.8%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
59.8%	3	`(-.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))))))`
75.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
75.8%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes30.0ms (0.4%)

Memory

-26.3MiB live, 26.1MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

21.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	q
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
65.0%	2	`q`
65.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.0%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes29.0ms (0.4%)

Memory

-7.1MiB live, 40.3MiB allocated

Counts

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

Calls

7 calls:

13.0ms	(-.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))))))
2.0ms	r
2.0ms	q
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	p

Results

Accuracy	Segments	Branch
43.5%	2	`p`
41.6%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
41.6%	2	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
44.7%	2	`r`
45.4%	2	`q`
45.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
45.4%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes15.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Accuracy

Total -22.8b remaining (-56.6%)

Threshold costs -22.8b (-56.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
37.1%	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)))))))`
37.1%	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))))))`
37.1%	1	`p`
37.1%	1	`r`
37.1%	1	`q`
37.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
37.1%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.120068671835502e-38	7.052569334674907e-29

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.120068671835502e-38	7.052569334674907e-29

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7661149023467266e-53	4.486869802670935e-50

Compiler

Compiled 25 to 25 computations (0% saved)

simplify107.0ms (1.3%)

Memory

-17.7MiB live, 74.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	64	317
1	116	317
2	251	317
3	548	317
4	863	317
5	1109	317
6	1366	315
7	1967	315
8	2673	315
9	5493	315

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (+.f64 (fabs.f64 p) p))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (.f64 #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)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (+.f64 (fabs.f64 p) p))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (neg r) r)) (.f64 #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)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness741.0ms (9.4%)

Memory

26.1MiB live, 598.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1132	5901
1	3736	5739
0	8355	5427
0	620	3242
1	2044	3049
2	7882	3021
0	8181	2821
0	1070	5100
1	3485	5080
0	8383	4815
0	68	627
0	97	627
1	367	611
2	2921	557
0	9291	539

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

Compiler

Compiled 475 to 183 computations (61.5% saved)

preprocess74.0ms (0.9%)

Memory: -10.9MiB live, 130.9MiB allocated
Compiler: Compiled 1 102 to 350 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.7s (33.9%)

explain280.0ms (3.5%)

preprocess201.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.8%)

localize76.0ms (1%)

series18.0ms (0.2%)

simplify181.0ms (2.3%)

rewrite137.0ms (1.7%)

eval62.0ms (0.8%)

prune30.0ms (0.4%)

simplify173.0ms (2.2%)

localize150.0ms (1.9%)

series37.0ms (0.5%)

simplify182.0ms (2.3%)

rewrite155.0ms (2%)

eval143.0ms (1.8%)

prune45.0ms (0.6%)

simplify179.0ms (2.3%)

localize228.0ms (2.9%)

series50.0ms (0.6%)

simplify175.0ms (2.2%)

rewrite178.0ms (2.3%)

eval85.0ms (1.1%)

prune39.0ms (0.5%)

simplify116.0ms (1.5%)

localize295.0ms (3.7%)

series46.0ms (0.6%)

simplify175.0ms (2.2%)

rewrite229.0ms (2.9%)

eval167.0ms (2.1%)

prune104.0ms (1.3%)

regimes240.0ms (3%)

regimes30.0ms (0.4%)

regimes29.0ms (0.4%)

regimes15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify107.0ms (1.3%)

soundness741.0ms (9.4%)

preprocess74.0ms (0.9%)

end0.0ms (0%)

Profiling