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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.6s (27.4%)

Memory

115.5MiB live, 4 915.5MiB allocated

Samples

869.0ms	2 190×	2	valid
857.0ms	3 232×	1	valid
347.0ms	2 834×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

adjust: 372.0ms (22.2% of total)

ival-pow2: 323.0ms (19.3% of total)

ival-sub: 223.0ms (13.3% of total)

ival-add: 199.0ms (11.9% of total)

ival-mult: 175.0ms (10.4% of total)

ival-sqrt: 150.0ms (8.9% of total)

ival-fabs: 134.0ms (8% of total)

ival-div: 78.0ms (4.7% of total)

exact: 11.0ms (0.7% of total)

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

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

Bogosity

explain322.0ms (3.4%)

Memory

-50.6MiB live, 577.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	149	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	149
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	122
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	67
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	130	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	8	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	8
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	69
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	17
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	69

Confusion

	Predicted +	Predicted -
+	202	0
-	0	54

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	202	0	0
-	0	0	54

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	54
1	117
2	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	200×	1	valid
50.0ms	146×	2	valid
20.0ms	166×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

adjust: 26.0ms (26.8% of total)

ival-pow2: 20.0ms (20.6% of total)

ival-mult: 15.0ms (15.5% of total)

ival-sub: 9.0ms (9.3% of total)

ival-sqrt: 9.0ms (9.3% of total)

ival-add: 9.0ms (9.3% of total)

ival-fabs: 5.0ms (5.2% of total)

ival-div: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess257.0ms (2.7%)

Memory

-24.1MiB live, 117.9MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.7%	(.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

▶

24.7%

(*.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)

simplify67.0ms (0.7%)

Memory

7.7MiB live, 57.4MiB 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

localize92.0ms (1%)

Memory

-21.9MiB live, 167.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.012382519536884034	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	30.21499730431496	(-.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	36.28945894811962	(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

34.0ms	73×	2	valid
27.0ms	100×	1	valid
10.0ms	83×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sub: 13.0ms (24.4% of total)

adjust: 13.0ms (24.4% of total)

ival-pow2: 8.0ms (15% of total)

ival-add: 6.0ms (11.3% of total)

ival-mult: 5.0ms (9.4% of total)

ival-sqrt: 4.0ms (7.5% of total)

ival-div: 2.0ms (3.8% of total)

ival-fabs: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated

Counts

7 → 128

Calls

Call 1

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

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

Calls

9 calls:

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

simplify180.0ms (1.9%)

Memory

5.4MiB live, 233.7MiB 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)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
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(* 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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(* 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))

rewrite185.0ms (2%)

Memory

14.7MiB live, 251.1MiB 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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(neg.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (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)))))

eval54.0ms (0.6%)

Memory: -24.0MiB live, 122.9MiB allocated
Compiler: Compiled 16 443 to 1 982 computations (87.9% saved)

prune22.0ms (0.2%)

Memory

26.6MiB live, 72.2MiB 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

62.8%

Counts

363 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	6.1%	(.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)))))))
	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (-.f64 r (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	9.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (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 3 binary64))) (fma.f64 p p (-.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 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))
	18.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))))))
	33.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (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)))
	19.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (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))))
▶	19.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#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)))
▶	20.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #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 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
▶	33.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
	14.2%	#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))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	33.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 508 to 982 computations (34.9% saved)

simplify207.0ms (2.2%)

Memory

-27.3MiB live, 305.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p)))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	1	(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (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 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q))
cost-diff	0	(-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
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	56	559
0	88	559
1	161	559
2	396	559
3	1227	559
4	3747	559
0	8083	550

Stop Event

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

Calls

Call 1

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

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

localize312.0ms (3.3%)

Memory

30.8MiB live, 501.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	21.540146735521937	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	22.21547233836629	(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	31.639232302806263	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	31.805175287949808	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.00390625	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	21.946615106722078	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	32.80344187992629	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	36.651631891938315	#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 p)
accuracy	0.203125	(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q))
accuracy	11.966904258578325	(.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q)
accuracy	42.72602945276198	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.2167121513169	#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	42.28332417275216	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

160.0ms	94×	2	valid
72.0ms	80×	1	valid
29.0ms	82×	0	valid

Compiler

Compiled 502 to 54 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult: 57.0ms (26.1% of total)

ival-div: 55.0ms (25.2% of total)

adjust: 39.0ms (17.9% of total)

ival-sqrt: 23.0ms (10.5% of total)

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

ival-sub: 13.0ms (6% of total)

ival-pow2: 10.0ms (4.6% of total)

ival-neg: 4.0ms (1.8% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series82.0ms (0.9%)

Memory

-15.8MiB live, 123.5MiB allocated

Counts

22 → 238

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* -1/2 p)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(* 1/2 (/ (+ (fabs p) (fabs r)) q))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(* -1/4 r)
(+ (* -1/4 r) (* 1/2 p))
(+ (* -1/4 r) (* p (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 r) (* p (+ 1/2 (* p (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ r q))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fabs p)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ p (pow q 2)))
(* p (+ (* -1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* -1 (/ (* (pow q 2) r) (pow p 3)))))
(* p (+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5))))))
(* p (+ 1/2 (+ (* -16 (/ (* (pow q 6) r) (pow p 7))) (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5)))))))
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2)))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
(/ (+ 1 (* -4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow p 4)))) (* 4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow p 6)))) (+ (* -16 (/ (pow q 4) (pow p 4))) (* 4 (/ (pow q 2) (pow p 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 (- (/ (* (pow q 2) r) (pow p 3)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2)))) (pow p 3))) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2))))) (pow p 3))) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs 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 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2)))
-1/2
(- (/ (pow q 2) (pow p 2)) 1/2)
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2)
(* -1 p)
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow p 2))) 1) p))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow p 4))) (+ 1 (* -4 (/ (pow q 2) (pow p 2))))) p))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow p 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow p 2))) (* 16 (/ (pow q 4) (pow p 4)))))) 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)))
(+ (* 1/2 (- (+ (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 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 p))
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -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)))))))
(+ (* 1/4 (/ (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))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* -1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ p r))))
(* -1/4 (* (* (pow r 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 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)))) (pow r 2))))))
(* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (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)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (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 (/ p r)) (* 1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) q)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (* 1/2 p))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* 4 (/ (* (pow q 2) r) (pow p 4))))))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* -16 (/ (* (pow q 2) r) (pow p 6))) (* 4 (/ r (pow p 4))))))))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2)))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* -4 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow p 5))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow p 7))) (* 16 (/ 1 (pow p 5))))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
-1
(* 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 (- (+ (/ (fabs p) q) (/ (fabs r) 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))))))
(+ (* -1/4 r) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p))))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow p 3) (pow q 2))) (* 1/4 p)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow p 5) (pow q 4))) (* 1/4 p)) (* 1/16 (/ (pow p 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow p 7) (pow q 6))) (* 1/4 p)) (+ (* -1/64 (/ (pow p 5) (pow q 4))) (* 1/16 (/ (pow p 3) (pow q 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 (/ (+ (fabs p) (fabs 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 (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 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)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
16.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 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)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
7.0ms	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) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 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)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
6.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 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)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
6.0ms	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) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 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)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))

simplify223.0ms (2.4%)

Memory

20.9MiB live, 316.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1186	6278
1	3892	6075
0	8566	5719

Stop Event

1×	iter limit
1×	node limit

Counts

238 → 235

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

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)
(* 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)) q)
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (+ (fabs p) (fabs r)) q))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #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))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(* -1/4 r)
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(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (.f64 (.f64 p p) r) q) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (.f64 (.f64 p p) r) q) (.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 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 #s(literal -1/64 binary64) (pow.f64 r #s(literal 4 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))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite206.0ms (2.2%)

Memory

-1.0MiB live, 310.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	422
0	88	422
1	342	418
2	2705	387
0	12044	378

Stop Event

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

Counts

22 → 377

Calls

Call 1

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

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

eval114.0ms (1.2%)

Memory: 17.7MiB live, 248.9MiB allocated
Compiler: Compiled 49 621 to 3 919 computations (92.1% saved)

prune52.0ms (0.6%)

Memory

16.6MiB live, 106.8MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	663	19	682
Fresh	10	4	14
Picked	3	2	5
Done	0	0	0
Total	676	25	701

Accuracy

72.5%

Counts

701 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (.f64 (/.f64 q r) (/.f64 q r))) (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
	7.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 #s(approx (+ ( (* q q) 4) (* r r)) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.5%	#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)))
	14.0%	#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))
	32.0%	#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	19.2%	#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 q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
▶	10.3%	#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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	24.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	11.2%	#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))))
▶	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Compiler

Compiled 3 021 to 1 871 computations (38.1% saved)

simplify193.0ms (2.1%)

Memory

17.5MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	1	(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	1	(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
cost-diff	0	(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
cost-diff	0	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)
cost-diff	0	#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
cost-diff	0	(.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 (-.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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
cost-diff	0	#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	916
0	125	916
1	237	916
2	580	916
3	1778	916
4	6205	916
0	8784	896

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
p
(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) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 (-.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 (-.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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
(*.f64 (-.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))
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
p
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(/.f64 r q)
r
q
#s(literal -1/8 binary64)
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 p p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p)))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/16 binary64) q)
#s(literal -1/16 binary64)
q
(/.f64 (*.f64 p p) q)
(*.f64 p p)
p
#s(literal 1/2 binary64)
(neg.f64 q)
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal -1/4 binary64) r)
#s(literal -1/4 binary64)
r
(-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
#s(literal 1 binary64)
(.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) p)
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

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

localize463.0ms (4.9%)

Memory

14.9MiB live, 662.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	21.540146735521937	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	22.21547233836629	(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	31.805175287949808	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	61.74669638980888	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
accuracy	18.1037017276392	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	21.540146735521937	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	31.805175287949808	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	37.796950754991045	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
accuracy	16.119985123964973	(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)
accuracy	25.365591762734432	(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))
accuracy	25.952021538772378	#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
accuracy	36.651631891938315	#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 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.56813984906608	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
accuracy	42.72602945276198	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Samples

165.0ms	123×	2	valid
111.0ms	96×	1	valid
13.0ms	33×	0	valid
6.0ms	4×	3	valid

Compiler

Compiled 688 to 68 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

adjust: 67.0ms (28.1% of total)

ival-mult: 54.0ms (22.6% of total)

ival-sub: 31.0ms (13% of total)

ival-sqrt: 27.0ms (11.3% of total)

ival-div: 24.0ms (10.1% of total)

ival-add: 22.0ms (9.2% of total)

ival-pow2: 9.0ms (3.8% of total)

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

exact: 1.0ms (0.4% of total)

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

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

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

series78.0ms (0.8%)

Memory

-13.3MiB live, 107.2MiB allocated

Counts

25 → 242

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
(+.f64 (fabs.f64 r) (fabs.f64 p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 (-.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 (-.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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
(*.f64 (-.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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(fabs.f64 r)
(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (+ (fabs p) (fabs r))) q)
(+ (fabs p) (fabs r))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ r q))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(/ -1/2 q)
(- (* 1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(* -1/4 r)
(+ (* -1/4 r) (* 1/2 p))
(+ (* -1/4 r) (* p (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 r) (* p (+ 1/2 (* p (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))))
(fabs p)
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ p (pow q 2)))
(* p (+ (* -1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2)))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))))
(* 1/16 (/ (pow p 2) (pow q 3)))
(* (pow p 2) (- (* 1/16 (/ 1 (pow q 3))) (* 1/2 (/ 1 (* (pow p 2) q)))))
(* 1/2 p)
(* p (+ 1/2 (* -1 (/ (* (pow q 2) r) (pow p 3)))))
(* p (+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5))))))
(* p (+ 1/2 (+ (* -16 (/ (* (pow q 6) r) (pow p 7))) (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5)))))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
(/ (+ 1 (* -4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow p 4)))) (* 4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow p 6)))) (+ (* -16 (/ (pow q 4) (pow p 4))) (* 4 (/ (pow q 2) (pow p 2))))) p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs 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 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2)))
-1/2
(- (/ (pow q 2) (pow p 2)) 1/2)
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2)
(* -1 (* p (- (/ (* (pow q 2) r) (pow p 3)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2)))) (pow p 3))) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2))))) (pow p 3))) 1/2)))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow p 2))) 1) p))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow p 4))) (+ 1 (* -4 (/ (pow q 2) (pow p 2))))) p))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow p 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow p 2))) (* 16 (/ (pow q 4) (pow p 4)))))) 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 r)
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -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)))))))
(+ (* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 p))
(fabs r)
(/ (+ (fabs p) (fabs r)) r)
(/ (+ (fabs p) (+ (fabs r) (* -1 r))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (* -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))))))
(* -1/4 (* (* (pow r 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 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)))) (pow r 2))))))
(* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (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)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
(* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* -1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ p r))))
-1
(* 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)) 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)))
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 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))
(* -1 (* r (+ (* -1/2 (/ p r)) (* 1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(* 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 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2)))))
(/ (+ (* -1/2 (pow q 2)) (* 1/16 (pow p 2))) (pow q 3))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (* 1/2 p))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* 4 (/ (* (pow q 2) r) (pow p 4))))))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* -16 (/ (* (pow q 2) r) (pow p 6))) (* 4 (/ r (pow p 4))))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* -4 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow p 5))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow p 7))) (* 16 (/ 1 (pow p 5))))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(* -1 q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* 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 (- (+ (/ (fabs p) q) (/ (fabs r) 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 (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q)
(/ (- (* 1/16 (/ (pow p 2) (pow q 2))) 1/2) q)
(+ (* -1/4 r) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p))))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow p 3) (pow q 2))) (* 1/4 p)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow p 5) (pow q 4))) (* 1/4 p)) (* 1/16 (/ (pow p 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow p 7) (pow q 6))) (* 1/4 p)) (+ (* -1/64 (/ (pow p 5) (pow q 4))) (* 1/16 (/ (pow p 3) (pow q 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 (/ (+ (fabs p) (fabs 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 (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (* (- (/ (+ (fabs r) (fabs p)) r) 1) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* (/ r q) -1/8) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (/ (+ (fabs r) (fabs p)) r) 1) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
10.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (* (- (/ (+ (fabs r) (fabs p)) r) 1) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* (/ r q) -1/8) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (/ (+ (fabs r) (fabs p)) r) 1) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (* (- (/ (+ (fabs r) (fabs p)) r) 1) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* (/ r q) -1/8) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (/ (+ (fabs r) (fabs p)) r) 1) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (* (- (/ (+ (fabs r) (fabs p)) r) 1) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* (/ r q) -1/8) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (/ (+ (fabs r) (fabs p)) r) 1) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (* (- (/ (+ (fabs r) (fabs p)) r) 1) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* (/ r q) -1/8) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (fabs r) (- (/ (+ (fabs r) (fabs p)) r) 1) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))

simplify211.0ms (2.2%)

Memory

28.9MiB live, 306.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1248	6338
1	4035	6207
0	8019	5852

Stop Event

1×	iter limit
1×	node limit

Counts

242 → 239

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

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 (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)))
(* 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)) q)
(- (* 1/2 (+ (fabs p) (fabs r))) q)
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) q)
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 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))))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 r r) (.f64 #s(literal 1/4 binary64) (.f64 r p))) q) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 r (pow.f64 q #s(literal 3 binary64)))) #s(literal -1/32 binary64) (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q))) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(* -1/8 (/ r q))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q)
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 p (pow.f64 q #s(literal 3 binary64))) #s(literal -1/32 binary64) (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64))) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(- (* 1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 1/16 binary64)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
(* -1/4 r)
(*.f64 #s(literal -1/4 binary64) r)
(+ (* -1/4 r) (* 1/2 p))
(fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))
(+ (* -1/4 r) (* p (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 (.f64 r p) q) #s(literal 1/2 binary64)) p (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* p (+ 1/2 (* p (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 r q) (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) r)) (pow.f64 q #s(literal 4 binary64)))) p #s(literal 1/2 binary64)) p (.f64 #s(literal -1/4 binary64) r))
(fabs p)
(fabs.f64 p)
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 p p)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (fabs.f64 r)) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(/ 1/2 q)
(/.f64 #s(literal 1/2 binary64) q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/256 binary64) (.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) q))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))
(* 1/4 (/ p (pow q 2)))
(.f64 (/.f64 p (.f64 q q)) #s(literal 1/4 binary64))
(* p (+ (* -1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 q q))) p)
(* p (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
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(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 (.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
(+ (* 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))))))))))
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(*.f64 #s(literal -1/2 binary64) r)
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 r r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) q)) (.f64 r r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 5 binary64))) #s(literal -1/1024 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 r r)) (/.f64 #s(literal 1/8 binary64) q)) (.f64 r r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 r r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 r r) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (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))
(-.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 r r)) (/.f64 #s(literal 1/4 binary64) q)) (.f64 r r) (fabs.f64 r)) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(+.f64 (fma.f64 #s(literal -1 binary64) r (fabs.f64 r)) (fabs.f64 p))
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))
(+ (* -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)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 (.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))))
(+ (* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 p))
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (*.f64 #s(literal 1/2 binary64) p))
(fabs r)
(fabs.f64 r)
(/ (+ (fabs p) (fabs r)) r)
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
(/ (+ (fabs p) (+ (fabs r) (* -1 r))) r)
(/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) r (fabs.f64 r)) (fabs.f64 p)) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (*.f64 r r))) #s(literal 1/2 binary64)) r)
(* 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))
(.f64 (fma.f64 p (neg.f64 (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (.f64 r r))) #s(literal 1/2 binary64))) r)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) (*.f64 r r))) #s(literal 1/2 binary64)) r)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
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(* -1 r)
(neg.f64 r)
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 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)
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
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(* -1/4 (* (* (pow r 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(.f64 (.f64 (.f64 r r) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) #s(literal -1/4 binary64))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
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(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 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)))) (pow r 2))))))
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(* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
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(* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
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(* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))
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(* r (+ (* -1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ p r))))
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-1
#s(literal -1 binary64)
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(*.f64 #s(literal 1/2 binary64) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
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r
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(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))
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(* -1 (* r (+ (* -1/2 (/ p r)) (* 1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
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(*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal 1/2 binary64))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
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(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite191.0ms (2%)

Memory

17.5MiB live, 255.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	668
0	125	668
1	476	662
2	3684	612
0	8363	604

Stop Event

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

Counts

25 → 246

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
(+.f64 (fabs.f64 r) (fabs.f64 p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 (-.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 (-.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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
(*.f64 (-.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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(fabs.f64 r)
(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

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

eval174.0ms (1.8%)

Memory: -33.6MiB live, 354.3MiB allocated
Compiler: Compiled 65 943 to 3 888 computations (94.1% saved)

prune55.0ms (0.6%)

Memory

18.4MiB live, 167.9MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	729	12	741
Fresh	3	15	18
Picked	4	1	5
Done	0	2	2
Total	736	30	766

Accuracy

72.6%

Counts

766 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	14.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal -1/4 binary64) r))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1/16 binary64) q) p) (/.f64 p q)) (neg.f64 q) (.f64 (neg.f64 q) #s(literal 1/2 binary64))) (.f64 q q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	33.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	3.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
▶	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (.f64 (/.f64 q r) (/.f64 q r))) (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
	20.5%	#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)))
▶	14.0%	#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))
	32.0%	#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	19.2%	#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 q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	10.5%	#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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (.f64 p p))) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
	11.0%	#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 r p) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64)))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	24.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	11.2%	#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))))
▶	33.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) (neg.f64 q))))

Compiler

Compiled 3 827 to 2 340 computations (38.9% saved)

simplify127.0ms (1.4%)

Memory

17.7MiB live, 207.5MiB 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)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	1	(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	1	(/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q))
cost-diff	2	(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))
cost-diff	0	(*.f64 r (/.f64 #s(literal -1/8 binary64) q))
cost-diff	0	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 r (/.f64 #s(literal -1/8 binary64) q)))
cost-diff	0	(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(+.f64 r p)
cost-diff	0	(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))
cost-diff	0	#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	867
0	123	867
1	227	862
2	563	856
3	1839	856
4	6588	856
0	8149	839

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))
(+.f64 r p)
r
p
#s(literal 1/2 binary64)
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
(.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)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
r
p
(fabs.f64 p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 r (/.f64 #s(literal -1/8 binary64) q)))
(*.f64 r (/.f64 #s(literal -1/8 binary64) q))
r
(/.f64 #s(literal -1/8 binary64) q)
#s(literal -1/8 binary64)
q
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 p p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p)))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q)))
(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))
(/.f64 (*.f64 p p) q)
(*.f64 p p)
p
q
(/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q))
(/.f64 #s(literal -1/16 binary64) q)
#s(literal -1/16 binary64)
(neg.f64 q)
(/.f64 #s(literal -1/2 binary64) q)
#s(literal -1/2 binary64)
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal -1/4 binary64) r)
#s(literal -1/4 binary64)
r
(-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
#s(literal 1 binary64)
(.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

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

localize535.0ms (5.7%)

Memory

-2.8MiB live, 671.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	21.540146735521937	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	22.21547233836629	(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	31.805175287949808	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	61.74669638980888	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q)))
accuracy	18.1037017276392	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	21.540146735521937	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	31.805175287949808	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	37.796950754991045	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 r (/.f64 #s(literal -1/8 binary64) q)))
accuracy	4.8445061027443135	(.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)
accuracy	11.165651587564255	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	25.618084629336206	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	38.879967836513366	#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))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.345121132371055	#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	(+.f64 r p)
accuracy	0.0	(neg.f64 q)
accuracy	20.44346822483104	#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q)))
accuracy	42.72602945276198	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))

Samples

265.0ms	123×	2	valid
174.0ms	127×	1	valid
6.0ms	4×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 673 to 67 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-div: 114.0ms (30.8% of total)

adjust: 102.0ms (27.5% of total)

ival-mult: 66.0ms (17.8% of total)

ival-add: 48.0ms (13% of total)

ival-sub: 15.0ms (4% of total)

ival-sqrt: 11.0ms (3% of total)

ival-pow2: 10.0ms (2.7% of total)

ival-fabs: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series101.0ms (1.1%)

Memory

-27.0MiB live, 65.9MiB allocated

Counts

24 → 236

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))
(+.f64 r p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#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))
(.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)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 r (/.f64 #s(literal -1/8 binary64) q)))
(*.f64 r (/.f64 #s(literal -1/8 binary64) q))
(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))
(/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q))
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(neg.f64 q)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q)))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 r) q)
(- (+ (* 1/2 p) (* 1/2 r)) q)
r
(+ p r)
(* 1/2 p)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ r q))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(/ -1/2 q)
(- (* 1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(* -1/4 r)
(+ (* -1/4 r) (* 1/2 p))
(+ (* -1/4 r) (* p (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 r) (* p (+ 1/2 (* p (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))))
(+ (fabs p) (fabs r))
(+ p (+ (fabs p) (fabs r)))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ p (pow q 2)))
(* p (+ (* -1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (- (+ 1/2 (* 1/2 (/ r p))) (/ q p)))
p
(* p (+ 1 (/ r p)))
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* 1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* p (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))))
(* p (- (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow p 2))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* -1 (/ (pow q 2) (pow p 2)))))
(+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))))
(* 1/16 (/ (pow p 2) (pow q 3)))
(* (pow p 2) (- (* 1/16 (/ 1 (pow q 3))) (* 1/2 (/ 1 (* (pow p 2) q)))))
(* p (+ 1/2 (* -1 (/ (* (pow q 2) r) (pow p 3)))))
(* p (+ 1/2 (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5))))))
(* p (+ 1/2 (+ (* -16 (/ (* (pow q 6) r) (pow p 7))) (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (* 4 (/ (* (pow q 4) r) (pow p 5)))))))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(/ 1 p)
(/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p)
(/ (+ 1 (* -4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow p 4)))) (* 4 (/ (pow q 2) (pow p 2)))) p)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow p 6)))) (+ (* -16 (/ (pow q 4) (pow p 4))) (* 4 (/ (pow q 2) (pow p 2))))) p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 r) q) p)) 1/2)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1/2 r) (+ (* 1/2 (+ (fabs p) (fabs 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 r) (* 1/2 (+ (fabs p) (fabs r))))) p)) 1/2)))
-1/2
(- (/ (pow q 2) (pow p 2)) 1/2)
(- (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) p))) (pow p 3))) (/ (pow q 2) (pow p 2))) 1/2)
(* -1 (* p (- (/ (* (pow q 2) r) (pow p 3)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2)))) (pow p 3))) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -16 (/ (* (pow q 6) r) (pow p 4))) (+ (* -1 (* (pow q 2) r)) (* 4 (/ (* (pow q 4) r) (pow p 2))))) (pow p 3))) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(/ -1 p)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow p 2)))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))))) p))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow p 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow p 6)))))) p))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow p 2))) 1) p))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow p 4))) (+ 1 (* -4 (/ (pow q 2) (pow p 2))))) p))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow p 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow p 2))) (* 16 (/ (pow q 4) (pow p 4)))))) 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 p) q)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -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)))))))
(+ (* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 p))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* 1/2 r)
(* r (- (+ 1/2 (* 1/2 (/ p r))) (/ q r)))
(* r (+ 1 (/ p r)))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* -1/4 (* (* (pow r 2) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
(* (pow r 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 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)))) (pow r 2))))))
(* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (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)))))) (* 1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))
(* -1/4 (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))
(* r (+ (* -1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ p r))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (* 1/2 p) q) r)) 1/2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))) r)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* -1 (* r (+ (* -1/2 (* (/ p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))))
(* -1 (* r (+ (* -1/2 (/ p r)) (* 1/4 (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(* 1/2 (+ p r))
(+ (* -1 q) (* 1/2 (+ p r)))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p)))))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ r (pow p 3))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (* 4 (/ r (pow p 5))))))) (/ 1 (pow p 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ r (pow p 3))) (* (pow q 2) (+ (* 2 (/ r (pow p 5))) (+ (* 3 (/ 1 (pow p 4))) (+ (* 4 (/ r (pow p 5))) (* (pow q 2) (- (+ (* -16 (/ r (pow p 7))) (+ (* -8 (/ r (pow p 7))) (* -6 (/ r (pow p 7))))) (* 10 (/ 1 (pow p 6)))))))))) (/ 1 (pow p 2)))))
(/ (+ (* -1/2 (pow q 2)) (* 1/16 (pow p 2))) (pow q 3))
(/ 1/16 (pow q 2))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (* 1/2 p))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* 4 (/ (* (pow q 2) r) (pow p 4))))))
(+ (* 1/2 p) (* (pow q 2) (+ (* -1 (/ r (pow p 2))) (* (pow q 2) (+ (* -16 (/ (* (pow q 2) r) (pow p 6))) (* 4 (/ r (pow p 4))))))))
(* -1 q)
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow p 7))) (* 6 (/ 1 (pow p 5))))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* -4 (/ (pow q 2) (pow p 3))) (/ 1 p))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow p 5))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow p 7))) (* 16 (/ 1 (pow p 5))))) (* 4 (/ 1 (pow p 3))))) (/ 1 p))
(* 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 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q)
(/ (- (* 1/16 (/ (pow p 2) (pow q 2))) 1/2) q)
(+ (* -1/4 r) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p))))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/16 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 p)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow p 3) (pow q 2))) (* 1/4 p)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow p 5) (pow q 4))) (* 1/4 p)) (* 1/16 (/ (pow p 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow p 7) (pow q 6))) (* 1/4 p)) (+ (* -1/64 (/ (pow p 5) (pow q 4))) (* 1/16 (/ (pow p 3) (pow q 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 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1/2 (/ (+ p r) q)))))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* (+ r p) 1/2) (neg q)) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* r (/ -1/8 q)) (+ (* (/ (* p p) q) (/ (/ -1/16 q) (neg q))) (/ -1/2 q)) (/ (/ -1/16 q) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
14.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* (+ r p) 1/2) (neg q)) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* r (/ -1/8 q)) (+ (* (/ (* p p) q) (/ (/ -1/16 q) (neg q))) (/ -1/2 q)) (/ (/ -1/16 q) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* (+ r p) 1/2) (neg q)) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* r (/ -1/8 q)) (+ (* (/ (* p p) q) (/ (/ -1/16 q) (neg q))) (/ -1/2 q)) (/ (/ -1/16 q) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* (+ r p) 1/2) (neg q)) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* r (/ -1/8 q)) (+ (* (/ (* p p) q) (/ (/ -1/16 q) (neg q))) (/ -1/2 q)) (/ (/ -1/16 q) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))
4.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (+ (* (+ r p) 1/2) (neg q)) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (* r (/ -1/8 q)) (+ (* (/ (* p p) q) (/ (/ -1/16 q) (neg q))) (/ -1/2 q)) (/ (/ -1/16 q) (neg q)) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/ p (+ (* (* q q) 4) (* p p))))

simplify294.0ms (3.1%)

Memory

-16.8MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1142	5899
1	3711	5700
0	8110	5380

Stop Event

1×	iter limit
1×	node limit

Counts

236 → 233

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

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)))
(* 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)) q)
(- (* 1/2 r) q)
(-.f64 (*.f64 #s(literal 1/2 binary64) r) q)
(- (+ (* 1/2 p) (* 1/2 r)) q)
(-.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q)
r
(+ p r)
(+.f64 r p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r (.f64 #s(literal 1/2 binary64) p))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 r r) (.f64 #s(literal 1/4 binary64) (.f64 r p))) q) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 r (pow.f64 q #s(literal 3 binary64)))) #s(literal -1/32 binary64) (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q))) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(* -1/8 (/ r q))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q)
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 p (pow.f64 q #s(literal 3 binary64))) #s(literal -1/32 binary64) (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64))) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(- (* 1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 1/16 binary64)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
(* -1/4 r)
(*.f64 #s(literal -1/4 binary64) r)
(+ (* -1/4 r) (* 1/2 p))
(fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p))
(+ (* -1/4 r) (* p (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 (.f64 r p) q) #s(literal 1/2 binary64)) p (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* p (+ 1/2 (* p (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 r q) (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) r)) (pow.f64 q #s(literal 4 binary64)))) p #s(literal 1/2 binary64)) p (.f64 #s(literal -1/4 binary64) r))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+ p (+ (fabs p) (fabs r)))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal -1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 p p)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (fabs.f64 r)) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(/ 1/2 q)
(/.f64 #s(literal 1/2 binary64) q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/256 binary64) (.f64 p p)) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) q))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -5/2048 (/ (pow p 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 7 binary64))) #s(literal -5/2048 binary64) (/.f64 #s(literal 3/256 binary64) (pow.f64 q #s(literal 5 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) q))
(* 1/4 (/ p (pow q 2)))
(.f64 (/.f64 p (.f64 q q)) #s(literal 1/4 binary64))
(* p (+ (* -1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 q q))) p)
(* p (+ (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 p p)) (pow.f64 q #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1/4 binary64) (*.f64 q q))) p)
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -1/256 (/ (pow p 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 8 binary64))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 6 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1/4 binary64) (.f64 q q))) 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))
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(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) #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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (+ 1 (* -1/2 (/ (+ p r) q)))))
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) 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 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64) (.f64 (*.f64 p p) #s(literal -1/8 binary64))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) 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 p p) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) r) (.f64 p p)) (.f64 #s(literal 1/128 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 q q)) (fma.f64 (.f64 (/.f64 (.f64 p p) q) (/.f64 (.f64 r r) q)) #s(literal 1/32 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64))))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q)) #s(literal -1/16 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (.f64 (.f64 p p) r) q) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (.f64 (.f64 p p) r) q) (.f64 (fma.f64 #s(literal -1/4 binary64) r (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))))))) (neg.f64 q))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 4 binary64)))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 #s(literal 1/4 binary64) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (.f64 #s(literal -1/4 binary64) (*.f64 p p))) q)) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite264.0ms (2.8%)

Memory

-25.0MiB live, 212.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	557
0	122	557
1	476	545
2	3766	529
0	8316	521

Stop Event

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

Counts

24 → 235

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
#s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))
(+.f64 r p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#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))
(.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)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (*.f64 r (/.f64 #s(literal -1/8 binary64) q)))
(*.f64 r (/.f64 #s(literal -1/8 binary64) q))
(fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))
(/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q))
(fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
(neg.f64 q)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (fma.f64 (/.f64 (*.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q)))
(/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))

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

eval169.0ms (1.8%)

Memory: 12.4MiB live, 203.1MiB allocated
Compiler: Compiled 50 721 to 3 205 computations (93.7% saved)

prune110.0ms (1.2%)

Memory

-3.1MiB live, 145.4MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	3	19	22
Picked	3	2	5
Done	0	3	3
Total	555	33	588

Accuracy

72.6%

Counts

588 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	19.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	28.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* p p)))) (*.f64 #s(literal -2 binary64) q)) #s(literal 1/2 binary64))))
	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) q) (/.f64 (/.f64 #s(literal -1/16 binary64) q) (neg.f64 q)) (/.f64 #s(literal -1/2 binary64) q))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	13.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (.f64 p p) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 q q)) q) (/.f64 #s(literal -1/2 binary64) q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal -1/4 binary64) r))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	33.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	3.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 r (/.f64 #s(literal -1/8 binary64) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (.f64 (/.f64 q r) (/.f64 q r))) (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
	20.5%	#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)))
	32.0%	#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	19.2%	#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 q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64))) r)) #s(literal 1/2 binary64)))
	6.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	24.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	11.2%	#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))))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r (.f64 #s(literal 1/2 binary64) p))))
	10.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) (neg.f64 q))))
	33.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q))))
	26.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) p) q) r)) r))))

Compiler

Compiled 5 869 to 1 774 computations (69.8% saved)

regimes120.0ms (1.3%)

Memory

21.1MiB live, 254.9MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

23.0ms	(.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)))))))
19.0ms	r
17.0ms	q
15.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
15.0ms	p

Results

Accuracy	Segments	Branch
58.5%	3	`(pow.f64 q #s(literal 2 binary64))`
58.5%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.3%	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))))))`
47.3%	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)))))))`
44.0%	3	`p`
43.5%	3	`r`
58.5%	3	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes29.0ms (0.3%)

Memory

-26.1MiB live, 73.0MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

11.0ms	q
8.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
57.0%	2	`(pow.f64 q #s(literal 2 binary64))`
57.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.0%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes22.0ms (0.2%)

Memory

13.8MiB live, 60.7MiB allocated

Counts

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

Outputs

#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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.9%	2	`(pow.f64 q #s(literal 2 binary64))`
56.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
56.9%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes40.0ms (0.4%)

Memory

11.2MiB live, 107.5MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

7.0ms	p
6.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
6.0ms	r
5.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
33.9%	1	`r`
37.0%	2	`p`
39.6%	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))))))`
39.6%	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)))))))`
41.8%	2	`(pow.f64 q #s(literal 2 binary64))`
41.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
41.8%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory

-16.4MiB live, 30.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
3.0ms	q
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
40.9%	2	`(pow.f64 q #s(literal 2 binary64))`
40.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
40.9%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory

5.3MiB live, 52.3MiB allocated

Accuracy

Total -20.7b remaining (-49%)

Threshold costs -20.7b (-49%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.9%	1	`p`
33.9%	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))))))`
33.9%	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)))))))`
33.9%	1	`(pow.f64 q #s(literal 2 binary64))`
33.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
33.9%	1	`q`

Compiler

Compiled 50 to 51 computations (-2% saved)

bsearch67.0ms (0.7%)

Memory

28.9MiB live, 173.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.6188983533879024e+88	3.471360346227241e+91
31.0ms	4.831236700739126e-15	4.344889533005971e-13

Samples

27.0ms	119×	1	valid
12.0ms	40×	2	valid
9.0ms	81×	0	valid

Compiler

Compiled 1 381 to 1 016 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

adjust: 9.0ms (24% of total)

ival-pow2: 8.0ms (21.4% of total)

ival-add: 5.0ms (13.4% of total)

ival-mult: 5.0ms (13.4% of total)

ival-sub: 4.0ms (10.7% of total)

ival-sqrt: 3.0ms (8% of total)

ival-div: 2.0ms (5.3% of total)

ival-fabs: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory

-5.3MiB live, 89.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.4861692272370706e-40	4.6329465524055745e-38

Samples

12.0ms	52×	1	valid
11.0ms	35×	2	valid
3.0ms	25×	0	valid

Compiler

Compiled 921 to 598 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 5.0ms (24.4% of total)

ival-pow2: 5.0ms (24.4% of total)

ival-sub: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

ival-mult: 2.0ms (9.8% of total)

ival-div: 1.0ms (4.9% of total)

ival-fabs: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory

-5.1MiB live, 92.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	4.0665263412615086e-43	9.810031749675377e-41

Samples

18.0ms	47×	2	valid
10.0ms	47×	1	valid
2.0ms	18×	0	valid

Compiler

Compiled 655 to 486 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

adjust: 6.0ms (23.6% of total)

ival-mult: 6.0ms (23.6% of total)

ival-pow2: 5.0ms (19.7% of total)

ival-sub: 2.0ms (7.9% of total)

ival-sqrt: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

ival-div: 1.0ms (3.9% of total)

ival-fabs: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory

-9.7MiB live, 84.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.6773703077719465e-70	1.0704451730596834e-69

Samples

16.0ms	48×	2	valid
6.0ms	31×	1	valid
2.0ms	17×	0	valid

Compiler

Compiled 631 to 444 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 5.0ms (24.5% of total)

ival-pow2: 5.0ms (24.5% of total)

ival-sub: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

ival-mult: 2.0ms (9.8% of total)

ival-div: 1.0ms (4.9% of total)

ival-fabs: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Memory

9.9MiB live, 108.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.2096849094378507e-146	1.4086510321742468e-143

Samples

22.0ms	71×	2	valid
9.0ms	44×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 817 to 576 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

adjust: 8.0ms (30% of total)

ival-pow2: 5.0ms (18.8% of total)

ival-add: 4.0ms (15% of total)

ival-sub: 3.0ms (11.3% of total)

ival-mult: 3.0ms (11.3% of total)

ival-sqrt: 2.0ms (7.5% of total)

ival-div: 1.0ms (3.8% of total)

ival-fabs: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify62.0ms (0.7%)

Memory

-2.2MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	580
1	208	580
2	441	580
3	1141	580
4	3119	580
5	7410	580

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 3232509030581985/633825300114114700748351602688 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 1220000000000000024695980557439584374918730260573688421151405260740175027107624853419589632 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 (+.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)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q))))))
(if (<=.f64 q #s(literal 9003411302587097/383123885216472214589586756787577295904684780545900544 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 4707826301540011/98079714615416886934934209737619787751599303819750539264 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
(if (<=.f64 q #s(literal 6061126943744275/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.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)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
(if (<=.f64 q #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 3232509030581985/633825300114114700748351602688 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 1220000000000000024695980557439584374918730260573688421151405260740175027107624853419589632 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 (+.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)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q))))))
(if (<=.f64 q #s(literal 3232509030581985/633825300114114700748351602688 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 1220000000000000024695980557439584374918730260573688421151405260740175027107624853419589632 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 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)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q))))))
(if (<=.f64 q #s(literal 9003411302587097/383123885216472214589586756787577295904684780545900544 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 4707826301540011/98079714615416886934934209737619787751599303819750539264 binary64)) #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 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
(if (<=.f64 q #s(literal 6061126943744275/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.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)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
(if (<=.f64 q #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) #s(approx (+ (* (+ r p) 1/2) (neg q)) (-.f64 (*.f64 #s(literal 1/2 binary64) r) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

derivations837.0ms (8.9%)

Memory

32.2MiB live, 773.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3242
1	2044	3049
2	7882	3021
0	8181	2821
0	1142	5899
1	3711	5700
0	8110	5380
0	86	668
0	125	668
1	476	662
2	3684	612
0	8363	604
0	1248	6338
1	4035	6207
0	8019	5852
0	1186	6278
1	3892	6075
0	8566	5719

Stop Event

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

Compiler

Compiled 602 to 123 computations (79.6% saved)

preprocess91.0ms (1%)

Memory: -29.2MiB live, 64.1MiB allocated
Compiler: Compiled 1 820 to 550 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.6s (27.4%)

explain322.0ms (3.4%)

preprocess257.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (0.7%)

localize92.0ms (1%)

series19.0ms (0.2%)

simplify180.0ms (1.9%)

rewrite185.0ms (2%)

eval54.0ms (0.6%)

prune22.0ms (0.2%)

simplify207.0ms (2.2%)

localize312.0ms (3.3%)

series82.0ms (0.9%)

simplify223.0ms (2.4%)

rewrite206.0ms (2.2%)

eval114.0ms (1.2%)

prune52.0ms (0.6%)

simplify193.0ms (2.1%)

localize463.0ms (4.9%)

series78.0ms (0.8%)

simplify211.0ms (2.2%)

rewrite191.0ms (2%)

eval174.0ms (1.8%)

prune55.0ms (0.6%)

simplify127.0ms (1.4%)

localize535.0ms (5.7%)

series101.0ms (1.1%)

simplify294.0ms (3.1%)

rewrite264.0ms (2.8%)

eval169.0ms (1.8%)

prune110.0ms (1.2%)

regimes120.0ms (1.3%)

regimes29.0ms (0.3%)

regimes22.0ms (0.2%)

regimes40.0ms (0.4%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch67.0ms (0.7%)

bsearch37.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch34.0ms (0.4%)

bsearch44.0ms (0.5%)

simplify62.0ms (0.7%)

derivations837.0ms (8.9%)

preprocess91.0ms (1%)

end0.0ms (0%)

Profiling