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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample2.9s (28.2%)

Memory

94.0MiB live, 4 720.9MiB allocated; 641ms collecting garbage

Samples

1.0s	3 275×	1	valid
980.0ms	2 165×	2	valid
325.0ms	2 816×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

adjust: 531.0ms (27.9% of total)

ival-pow2: 306.0ms (16.1% of total)

ival-mult: 242.0ms (12.7% of total)

ival-add: 224.0ms (11.8% of total)

ival-sub: 195.0ms (10.3% of total)

ival-sqrt: 193.0ms (10.2% of total)

ival-div: 97.0ms (5.1% of total)

ival-fabs: 92.0ms (4.8% of total)

exact: 12.0ms (0.6% of total)

ival-true: 6.0ms (0.3% of total)

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

Bogosity

explain324.0ms (3.1%)

Memory

0.4MiB live, 576.3MiB allocated; 73ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
150	-	1	(9.235816270339858e-175 -3.0509150531319698e-223 7.92102763132563e-161)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
131	-	0	-	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	-	0	-	`q`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	0	-	`(-.f64 p r)`
0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	0	-	`(fabs.f64 p)`
0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	0	-	`(fabs.f64 r)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`r`
0	-	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	148	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	148
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	65
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	111
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	65
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	131	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	1	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	1
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	12
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	67

Confusion

	Predicted +	Predicted -
+	207	1
-	0	48

Precision

1.0

Recall

0.9951923076923077

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	207	0	1
-	0	1	47

Precision?

0.9951923076923077

Recall?

0.9951923076923077

Freqs

test

number	freq
0	49
1	134
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	138×	2	valid
67.0ms	204×	1	valid
20.0ms	170×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-pow2: 44.0ms (34.6% of total)

adjust: 39.0ms (30.7% of total)

ival-mult: 10.0ms (7.9% of total)

ival-sub: 9.0ms (7.1% of total)

ival-add: 9.0ms (7.1% of total)

ival-sqrt: 7.0ms (5.5% of total)

ival-fabs: 5.0ms (3.9% of total)

ival-div: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess200.0ms (1.9%)

Memory

16.5MiB live, 112.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

22.6%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify61.0ms (0.6%)

Memory

-9.2MiB live, 37.7MiB allocated; 2ms collecting garbage

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

localize84.0ms (0.8%)

Memory

17.0MiB live, 159.4MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.014003759768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	30.485474502927932	(-.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	34.73536149872338	(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	102×	1	valid
26.0ms	69×	2	valid
10.0ms	85×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

adjust: 14.0ms (27.5% of total)

ival-add: 11.0ms (21.6% of total)

ival-pow2: 8.0ms (15.7% of total)

ival-sub: 5.0ms (9.8% of total)

ival-mult: 5.0ms (9.8% of total)

ival-sqrt: 4.0ms (7.8% of total)

ival-div: 2.0ms (3.9% of total)

ival-fabs: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-5.9MiB live, 39.9MiB allocated; 3ms collecting garbage

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
4.0ms	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	@	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	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))

simplify168.0ms (1.6%)

Memory

21.5MiB live, 245.8MiB allocated; 25ms collecting garbage

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

rewrite165.0ms (1.6%)

Memory

12.1MiB live, 334.2MiB allocated; 37ms collecting garbage

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))))))
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eval74.0ms (0.7%)

Memory: -29.3MiB live, 169.2MiB allocated; 29ms collecting garbage
Compiler: Compiled 16 443 to 1 982 computations (87.9% saved)

prune23.0ms (0.2%)

Memory

26.1MiB live, 73.4MiB allocated; 1ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	340	22	362
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	22	363

Accuracy

63.1%

Counts

363 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(/.f64 (+.f64 (pow.f64 (.f64 p #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 p #s(literal 1/2 binary64)) (.f64 p #s(literal 1/2 binary64)) (-.f64 (.f64 (.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 1/2 binary64)) (.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 1/2 binary64))) (.f64 (.f64 p #s(literal 1/2 binary64)) (.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 1/2 binary64))))))
▶	6.0%	(.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)))))))
	11.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 p (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 r r (-.f64 (.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))))))))))
	10.0%	(.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))))))))))
	17.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.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)))))
▶	33.4%	(.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 #s(literal 2 binary64) q))))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
	13.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r)))
	15.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	18.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 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 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
▶	14.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (-.f64 (+.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))))
	14.6%	#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))))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	6.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 832 to 1 152 computations (37.1% saved)

simplify110.0ms (1.1%)

Memory

-7.2MiB live, 224.9MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	372
0	81	358
1	146	345
2	356	345
3	1159	345
4	3250	345
0	8253	345

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (1.5%)

Memory

-8.9MiB live, 372.5MiB allocated; 45ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 p)
accuracy	0.015625	(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))))))
accuracy	9.972277954199097	(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	12.761868446736676	(-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
accuracy	1.9017493613102183	(.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)))
accuracy	1.9635690104223251	(/.f64 (*.f64 q q) p)
accuracy	11.399875621645696	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (-.f64 (+.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))))
accuracy	17.414921453970802	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	12.76275379901583	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
accuracy	13.13208429188162	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	18.360900736142916	#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	13.339866168448495	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

56.0ms	180×	0	invalid
41.0ms	56×	1	valid
19.0ms	18×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 357 to 43 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 17.0ms (19.9% of total)

adjust: 16.0ms (18.8% of total)

ival-sub: 12.0ms (14.1% of total)

ival-pow2: 12.0ms (14.1% of total)

ival-add: 9.0ms (10.5% of total)

ival-sqrt: 9.0ms (10.5% of total)

ival-div: 6.0ms (7% of total)

ival-fabs: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

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

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

series97.0ms (0.9%)

Memory

-30.4MiB live, 64.3MiB allocated; 70ms collecting garbage

Counts

20 → 216

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (fabs p) (* (/ 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))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (neg p) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs r) (- (+ (fabs r) (fabs p)) r) (/ (* q q) p) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
5.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (fabs p) (* (/ 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))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (neg p) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs r) (- (+ (fabs r) (fabs p)) r) (/ (* q q) p) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
4.0ms	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) (* (/ 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))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (neg p) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs r) (- (+ (fabs r) (fabs p)) r) (/ (* q q) p) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
3.0ms	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) (* (/ 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))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (neg p) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs r) (- (+ (fabs r) (fabs p)) r) (/ (* q q) p) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
3.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (fabs p) (* (/ 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))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (neg p) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs r) (- (+ (fabs r) (fabs p)) r) (/ (* q q) p) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))

simplify169.0ms (1.6%)

Memory

-10.6MiB live, 269.7MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	909	6065
1	2920	5734
0	8416	5390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

rewrite236.0ms (2.3%)

Memory

38.6MiB live, 225.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	262
0	81	240
1	320	240
2	2198	227
0	10004	227

Stop Event

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

Counts

20 → 253

Calls

Call 1

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

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

eval91.0ms (0.9%)

Memory: -37.6MiB live, 151.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 21 951 to 2 416 computations (89% saved)

prune48.0ms (0.5%)

Memory

8.6MiB live, 55.3MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	491	11	502
Fresh	11	6	17
Picked	3	2	5
Done	0	0	0
Total	505	19	524

Accuracy

94.1%

Counts

524 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.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)))))
	22.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 q q) p) (pow.f64 r #s(literal 3 binary64))) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (*.f64 q q) r)))) r)))
▶	21.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
▶	33.4%	(.f64 (-.f64 (-.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	33.2%	#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) (+.f64 (fabs.f64 r) (fabs.f64 p))) q) #s(literal 1 binary64)) q))
	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	6.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	25.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/.f64 (*.f64 q q) p)))
▶	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (fma.f64 (/.f64 (neg.f64 p) q) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q))))
	26.9%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r)))
	22.3%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
▶	3.0%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	20.2%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 415 to 1 015 computations (28.3% saved)

simplify151.0ms (1.5%)

Memory

9.3MiB live, 257.4MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	466
0	98	453
1	196	428
2	536	424
3	2537	422
0	8660	395

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.7%)

Memory

13.8MiB live, 392.9MiB allocated; 35ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.4358284624438855	(/.f64 (*.f64 q q) r)
accuracy	3.070233962697575	(.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)
accuracy	4.848920219580121	#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))
accuracy	13.312151398821408	(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 p)
accuracy	11.221543294521352	#s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))
accuracy	11.399875621645696	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
accuracy	17.414921453970802	(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
accuracy	0.0	(.f64 (.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 r #s(literal 2 binary64))
accuracy	18.340391616355742	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	18.407601657927202	#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	(.f64 (-.f64 (-.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 q #s(literal 2 binary64))
accuracy	6.5802502842251505	(-.f64 (-.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
accuracy	13.13208429188162	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))

Samples

68.0ms	180×	0	invalid
66.0ms	33×	1	valid
53.0ms	43×	2	valid

Compiler

Compiled 360 to 63 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 29.0ms (23% of total)

adjust: 24.0ms (19% of total)

ival-pow2: 17.0ms (13.5% of total)

ival-sub: 17.0ms (13.5% of total)

ival-add: 14.0ms (11.1% of total)

ival-div: 14.0ms (11.1% of total)

ival-sqrt: 7.0ms (5.5% of total)

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

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series63.0ms (0.6%)

Memory

-21.8MiB live, 69.3MiB allocated; 8ms collecting garbage

Counts

22 → 261

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	q	@	-inf	((* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (* r 2) 1/2) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (* r 2) (+ (* (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ 1 2) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (+ (+ (fabs r) p) (fabs p)) (* q 2) (- (fabs r) (- r (fabs p))) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/ (* q q) r))
12.0ms	p	@	inf	((* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (* r 2) 1/2) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (* r 2) (+ (* (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ 1 2) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (+ (+ (fabs r) p) (fabs p)) (* q 2) (- (fabs r) (- r (fabs p))) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/ (* q q) r))
8.0ms	p	@	-inf	((* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (* r 2) 1/2) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (* r 2) (+ (* (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ 1 2) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (+ (+ (fabs r) p) (fabs p)) (* q 2) (- (fabs r) (- r (fabs p))) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/ (* q q) r))
5.0ms	r	@	inf	((* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (* r 2) 1/2) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (* r 2) (+ (* (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ 1 2) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (+ (+ (fabs r) p) (fabs p)) (* q 2) (- (fabs r) (- r (fabs p))) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/ (* q q) r))
4.0ms	r	@	-inf	((* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (* r 2) 1/2) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (* r 2) (+ (* (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ 1 2) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (+ (+ (fabs r) p) (fabs p)) (* q 2) (- (fabs r) (- r (fabs p))) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/ (* q q) r))

simplify214.0ms (2.1%)

Memory

29.3MiB live, 362.2MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1058	6865
1	3476	6558
0	8561	6191

Stop Event

1×	iter limit
1×	node limit

Counts

261 → 258

Calls

Call 1

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

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

rewrite192.0ms (1.9%)

Memory

18.7MiB live, 251.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	352
0	94	329
1	448	322
2	3498	322
0	8260	305

Stop Event

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

Counts

22 → 260

Calls

Call 1

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

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

eval123.0ms (1.2%)

Memory: -29.4MiB live, 201.9MiB allocated; 29ms collecting garbage
Compiler: Compiled 29 254 to 3 120 computations (89.3% saved)

prune61.0ms (0.6%)

Memory

7.4MiB live, 109.8MiB allocated; 22ms collecting garbage

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	526	17	543
Fresh	5	7	12
Picked	3	2	5
Done	1	1	2
Total	535	27	562

Accuracy

97.4%

Counts

562 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.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)))))
	23.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (.f64 (/.f64 q r) q) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
▶	21.2%	(.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 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))) r)))
	18.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 q (.f64 (/.f64 q r) (/.f64 #s(literal -2 binary64) r)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))) r)))
	26.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 #s(approx (+ ( (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) (*.f64 r r))) r)))
	25.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 #s(approx (+ ( (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r))) r)))
▶	41.8%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r))))
	14.8%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) r) (.f64 q q)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q)))))
	33.4%	(.f64 (-.f64 (-.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
	22.3%	(.f64 #s(approx (- (- r p) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64))
▶	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	6.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	25.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/.f64 (*.f64 q q) p)))
✓	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (fma.f64 (/.f64 (neg.f64 p) q) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q))))
	8.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 #s(approx (+ ( (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))) p)))
	26.9%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r)))
	20.2%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	3.0%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) r)
	27.2%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64)))
	23.5%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 q q) r) (/.f64 p r) (/.f64 (.f64 q q) r)) #s(literal 0 binary64)))
	33.2%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (-.f64 (.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)) q))
	21.9%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/2 binary64)))
	2.7%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (neg.f64 p))
▶	19.4%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

Compiler

Compiled 2 120 to 1 472 computations (30.6% saved)

simplify137.0ms (1.3%)

Memory

12.7MiB live, 240.5MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	609
0	113	609
1	218	599
2	510	599
3	1654	587
4	5391	587
0	8229	569

Stop Event

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

Calls

Call 1

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

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

localize481.0ms (4.6%)

Memory

5.1MiB live, 854.0MiB allocated; 139ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	2.6038254916212087	(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64)))
accuracy	11.640021091261962	(.f64 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))) r)
accuracy	24.283619804873517	(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))
accuracy	45.3053105857097	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))) r))
accuracy	0.0	(fabs.f64 p)
accuracy	3.9977863684581814	(.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
accuracy	13.309782595551976	(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	34.57403747345306	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
accuracy	0.0	(*.f64 q q)
accuracy	7.547633457727438	(/.f64 (*.f64 q q) p)
accuracy	14.287767426558435	#s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/.f64 (*.f64 q q) p))
accuracy	33.68539972597789	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/.f64 (*.f64 q q) p)))
accuracy	40.01192996080358	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))
accuracy	0.0078125	(.f64 #s(literal -2 binary64) (.f64 q q))
accuracy	10.653734295218019	(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)
accuracy	16.528150619758208	(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
accuracy	31.31942746746113	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)))

Samples

274.0ms	141×	2	valid
91.0ms	85×	1	valid
33.0ms	15×	3	valid
7.0ms	15×	0	valid

Compiler

Compiled 431 to 67 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

adjust: 110.0ms (32.5% of total)

ival-mult: 70.0ms (20.7% of total)

ival-add: 70.0ms (20.7% of total)

ival-div: 35.0ms (10.3% of total)

ival-sub: 34.0ms (10% of total)

ival-pow2: 10.0ms (3% of total)

ival-sqrt: 5.0ms (1.5% of total)

ival-fabs: 3.0ms (0.9% 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)

series39.0ms (0.4%)

Memory

1.7MiB live, 88.6MiB allocated; 10ms collecting garbage

Counts

21 → 186

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	r	@	0	((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ (* q q) p) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (* (/ 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))))) (+ (+ p (- (fabs r) r)) (fabs p)) (* -2 (* q q)) (fabs p) (- (/ (+ (* 2 p) (fabs r)) r) 1) (* (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) r))
4.0ms	p	@	inf	((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ (* q q) p) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (* (/ 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))))) (+ (+ p (- (fabs r) r)) (fabs p)) (* -2 (* q q)) (fabs p) (- (/ (+ (* 2 p) (fabs r)) r) 1) (* (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) r))
4.0ms	p	@	0	((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ (* q q) p) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (* (/ 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))))) (+ (+ p (- (fabs r) r)) (fabs p)) (* -2 (* q q)) (fabs p) (- (/ (+ (* 2 p) (fabs r)) r) 1) (* (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) r))
4.0ms	p	@	-inf	((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ (* q q) p) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (* (/ 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))))) (+ (+ p (- (fabs r) r)) (fabs p)) (* -2 (* q q)) (fabs p) (- (/ (+ (* 2 p) (fabs r)) r) 1) (* (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) r))
3.0ms	r	@	-inf	((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/ (* q q) p) (* q q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (* (/ 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))))) (+ (+ p (- (fabs r) r)) (fabs p)) (* -2 (* q q)) (fabs p) (- (/ (+ (* 2 p) (fabs r)) r) 1) (* (+ (* (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) r))

simplify1.1s (10.9%)

Memory

-187.0MiB live, 297.2MiB allocated; 1.6s collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	4352
1	2552	4132
0	8375	3916

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 183

Calls

Call 1

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

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

rewrite178.0ms (1.7%)

Memory

23.5MiB live, 286.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	468
0	113	468
1	514	460
2	4501	460
0	8916	445

Stop Event

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

Counts

21 → 189

Calls

Call 1

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

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

eval70.0ms (0.7%)

Memory: -5.3MiB live, 140.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 23 324 to 2 257 computations (90.3% saved)

prune63.0ms (0.6%)

Memory

5.1MiB live, 94.1MiB allocated; 7ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	390	10	400
Fresh	4	15	19
Picked	2	3	5
Done	0	3	3
Total	396	31	427

Accuracy

99.3%

Counts

427 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.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)))))
	18.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (/.f64 #s(literal -2 binary64) r)) q (-.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (fabs.f64 r)) r) #s(literal 1 binary64))) r)))
	25.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 #s(approx (+ ( (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r))) r)))
	16.8%	(.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 #s(approx (+ ( (* (/ -2 r) q) (/ q r)) (- (/ (+ (* 2 p) (fabs r)) r) 1)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) q (.f64 (fma.f64 #s(literal 2 binary64) p (-.f64 (fabs.f64 r) r)) r)) (*.f64 r r))) r)))
	27.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (/.f64 r r) (.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) q)))))
	27.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (fma.f64 (.f64 q #s(literal -2 binary64)) (/.f64 q r) (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) (/.f64 r r))))))
	20.2%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) r (.f64 r (.f64 (.f64 q q) #s(literal -2 binary64)))) (*.f64 r r)))))
	33.4%	(.f64 (-.f64 (-.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
	22.3%	(.f64 #s(approx (- (- r p) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64))
	12.7%	(.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (-.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) q (fma.f64 p #s(literal 2 binary64) (fabs.f64 r))) r) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64))
	21.2%	(.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p (fabs.f64 r)) r) #s(literal 1 binary64))) r)))
	41.8%	(.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r))))
✓	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	6.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
✓	25.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (/.f64 (*.f64 q q) p)))
✓	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (fma.f64 (/.f64 (neg.f64 p) q) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) q) (/.f64 #s(literal 1 binary64) p)) (*.f64 q q))))
	25.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (*.f64 (/.f64 q p) q)))
	8.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 #s(approx (+ ( (/ (- (fabs r) (- r (fabs p))) p) 1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))) p)))
	26.9%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r)))
	20.2%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	3.0%	#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) r)
	27.2%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64)))
	23.5%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 q q) r) (/.f64 p r) (/.f64 (.f64 q q) r)) #s(literal 0 binary64)))
	33.2%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (-.f64 (.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)) q))
	21.9%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) p) #s(literal -1/2 binary64)))
	2.7%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (neg.f64 p))
✓	19.4%	#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

Compiler

Compiled 4 010 to 1 335 computations (66.7% saved)

regimes112.0ms (1.1%)

Memory

36.5MiB live, 223.2MiB allocated; 19ms collecting garbage

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

21.0ms	r
17.0ms	p
15.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
15.0ms	q
14.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
62.5%	2	`(pow.f64 q #s(literal 2 binary64))`
62.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
54.0%	2	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
54.0%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
64.7%	6	`p`
63.0%	5	`r`
64.2%	3	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes67.0ms (0.6%)

Memory

-17.4MiB live, 88.0MiB allocated; 27ms collecting garbage

Counts

31 → 6

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	q
9.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	p
7.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
64.7%	6	`p`
59.7%	3	`(pow.f64 q #s(literal 2 binary64))`
59.7%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.7%	3	`q`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes44.0ms (0.4%)

Memory

9.6MiB live, 94.6MiB allocated; 11ms collecting garbage

Counts

25 → 5

Calls

Call 1

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

Calls

5 calls:

13.0ms	(pow.f64 q #s(literal 2 binary64))
9.0ms	r
7.0ms	q
7.0ms	p
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
52.8%	3	`(pow.f64 q #s(literal 2 binary64))`
52.8%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
52.8%	3	`q`
51.2%	4	`r`
62.4%	5	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes30.0ms (0.3%)

Memory

17.6MiB live, 61.1MiB allocated; 15ms collecting garbage

Counts

18 → 5

Calls

Call 1

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

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

Calls

3 calls:

20.0ms

4.0ms

(*.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)))))))

4.0ms

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

Results

Accuracy	Segments	Branch
46.1%	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))))))`
46.1%	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)))))))`
58.5%	5	`p`

Compiler

Compiled 41 to 36 computations (12.2% saved)

regimes30.0ms (0.3%)

Memory

-16.4MiB live, 21.2MiB allocated; 6ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
54.1%	3	`p`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.5%)

Memory

28.9MiB live, 67.0MiB allocated; 6ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

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

Calls

5 calls:

36.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms	r
3.0ms	p
3.0ms	q
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
41.8%	2	`r`
49.4%	3	`(pow.f64 q #s(literal 2 binary64))`
49.4%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
49.4%	3	`q`
46.8%	3	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes13.0ms (0.1%)

Memory

-2.8MiB live, 36.6MiB allocated; 6ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.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
47.4%	2	`(pow.f64 q #s(literal 2 binary64))`
47.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.4%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes35.0ms (0.3%)

Memory

4.3MiB live, 46.4MiB allocated; 29ms collecting garbage

Accuracy

Total -11.4b remaining (-22.1%)

Threshold costs -11.4b (-22.1%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

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

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

Outputs
#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

Calls

7 calls:

25.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	q
2.0ms	r
2.0ms	p
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
19.4%	1	`r`
19.4%	1	`p`
19.4%	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))))))`
19.4%	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)))))))`
19.4%	1	`q`
19.4%	1	`(pow.f64 q #s(literal 2 binary64))`
19.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch103.0ms (1%)

Memory

28.8MiB live, 161.7MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	1.5938718096870625e+71	1.139452381496918e+82
31.0ms	2.5254527652576427e-165	1.6197276347369262e-164

Samples

34.0ms	150×	1	valid
17.0ms	42×	2	valid
6.0ms	64×	0	valid

Compiler

Compiled 1 561 to 1 110 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

adjust: 13.0ms (27.5% of total)

ival-sub: 8.0ms (16.9% of total)

ival-pow2: 8.0ms (16.9% of total)

ival-mult: 5.0ms (10.6% of total)

ival-add: 4.0ms (8.5% of total)

ival-sqrt: 3.0ms (6.3% of total)

ival-div: 2.0ms (4.2% of total)

ival-fabs: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch214.0ms (2.1%)

Memory

-8.2MiB live, 389.3MiB allocated; 62ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.567591685905871e-266	-1.0185699760964944e-269
70.0ms	-3.6876998910640153e-197	-1.2844574194991574e-201
16.0ms	-3.637093784916998e-65	-2.153480157656663e-65
18.0ms	-1.0281150192718308e+62	-7.372577638067944e+61
61.0ms	-5.093297885371771e+254	-5.4817842379423005e+249

Samples

90.0ms	207×	2	valid
29.0ms	135×	1	valid
19.0ms	186×	0	valid

Compiler

Compiled 2 199 to 1 691 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-pow2: 34.0ms (29.5% of total)

adjust: 30.0ms (26% of total)

ival-sub: 11.0ms (9.5% of total)

ival-mult: 10.0ms (8.7% of total)

ival-sqrt: 10.0ms (8.7% of total)

ival-add: 10.0ms (8.7% of total)

ival-fabs: 5.0ms (4.3% of total)

ival-div: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

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

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

bsearch47.0ms (0.5%)

Memory

-21.3MiB live, 26.2MiB allocated; 9ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.567591685905871e-266	-1.0185699760964944e-269
1.0ms	-3.6876998910640153e-197	-1.2844574194991574e-201
1.0ms	-3.637093784916998e-65	-2.153480157656663e-65
43.0ms	-1.0281150192718308e+62	-7.372577638067944e+61

Samples

40.0ms	8×	1	valid
1.0ms	5×	2	valid
0.0ms	3×	0	valid

Compiler

Compiled 1 445 to 1 144 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

adjust: 1.0ms (32.7% of total)

ival-pow2: 1.0ms (32.7% of total)

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

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch76.0ms (0.7%)

Memory

23.2MiB live, 116.2MiB allocated; 5ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	1.4704916433319972e-245	1.2677757491987181e-232
1.0ms	-3.6876998910640153e-197	-1.2844574194991574e-201
1.0ms	-3.637093784916998e-65	-2.153480157656663e-65
1.0ms	-1.0281150192718308e+62	-7.372577638067944e+61

Samples

46.0ms	55×	2	valid
9.0ms	44×	1	valid
6.0ms	61×	0	valid

Compiler

Compiled 1 507 to 1 210 computations (19.7% saved)

Precisions

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

ival-sub: 29.0ms (54.8% of total)

adjust: 7.0ms (13.2% of total)

ival-pow2: 5.0ms (9.5% of total)

ival-mult: 3.0ms (5.7% of total)

ival-add: 3.0ms (5.7% of total)

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

ival-div: 1.0ms (1.9% of total)

ival-fabs: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4704916433319972e-245	1.2677757491987181e-232
1.0ms	-1.0281150192718308e+62	-7.372577638067944e+61

Compiler

Compiled 883 to 694 computations (21.4% saved)

bsearch108.0ms (1%)

Memory

-14.2MiB live, 132.0MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	9.694311454735395e-60	6.525256657244265e-57
54.0ms	5.175803562041889e-163	7.92102763132563e-161

Samples

42.0ms	108×	2	valid
21.0ms	102×	1	valid
15.0ms	30×	0	valid

Compiler

Compiled 815 to 678 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sqrt: 16.0ms (23.8% of total)

ival-sub: 14.0ms (20.9% of total)

adjust: 14.0ms (20.9% of total)

ival-pow2: 8.0ms (11.9% of total)

ival-mult: 5.0ms (7.4% of total)

ival-add: 5.0ms (7.4% of total)

ival-div: 2.0ms (3% of total)

ival-fabs: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0921717237353318e-66	4.6126543161195667e-60

Compiler

Compiled 25 to 25 computations (0% saved)

simplify90.0ms (0.9%)

Memory

-4.1MiB live, 90.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	929
1	226	906
2	507	906
3	1587	906
4	5001	906

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 1633871755246891/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)) (if (<=.f64 q #s(literal 5299999999999999613071247301738839707909600179068923706275330515510109472292864 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)))) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (-.f64 (.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)) q))))
(if (<=.f64 p #s(literal -5500000000000000360921845215643839412824733324365030596602225496943791842346278270867348553362910580670445564881974988855440749074107204966203674350801478812478461700474875595556713983732854680363130577734009047405785734237914785141506243070905024512 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (/.f64 q p) q))) (if (<=.f64 p #s(literal -91999999999999998198111832742729497877227279912223999489212416 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)) (if (<=.f64 p #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (if (<=.f64 p #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64))) (if (<=.f64 p #s(literal -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r))))))))
(if (<=.f64 p #s(literal -89999999999999999726585254854541341201585959339692315725791232 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (/.f64 q p) q))) (if (<=.f64 p #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (if (<=.f64 p #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64))) (if (<=.f64 p #s(literal -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r)))))))
(if (<=.f64 p #s(literal -89999999999999999726585254854541341201585959339692315725791232 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (/.f64 q p) q))) (if (<=.f64 p #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (if (<=.f64 p #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64))) (if (<=.f64 p #s(literal 1768170363520083/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal -89999999999999999726585254854541341201585959339692315725791232 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (/.f64 q p) q))) (if (<=.f64 p #s(literal 1768170363520083/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 785125626436223/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64)) (if (<=.f64 q #s(literal 4749284910124297/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (.f64 (.f64 p #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)))))) (neg.f64 q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx ( (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

Outputs
(if (<=.f64 q #s(literal 1633871755246891/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)) (if (<=.f64 q #s(literal 5299999999999999613071247301738839707909600179068923706275330515510109472292864 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)))) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (.f64 (-.f64 (.f64 (/.f64 (-.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)) q))))
(if (<=.f64 p #s(literal -5500000000000000360921845215643839412824733324365030596602225496943791842346278270867348553362910580670445564881974988855440749074107204966203674350801478812478461700474875595556713983732854680363130577734009047405785734237914785141506243070905024512 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) (neg p)) 1/2)) (.f64 (/.f64 q p) q))) (if (<=.f64 p #s(literal -91999999999999998198111832742729497877227279912223999489212416 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)) (if (<=.f64 p #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (if (<=.f64 p #s(literal -8962934927540729/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144 binary64)) #s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -1 binary64) #s(literal 0 binary64))) (if (<=.f64 p #s(literal -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r))))))))
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#s(approx (* (- (- r p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) #s(literal 0 binary64))

derivations1.1s (10.9%)

Memory

-50.2MiB live, 813.6MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	909	6065
1	2920	5734
0	8416	5390
0	18	72
0	31	72
1	114	72
2	780	68
0	8827	64
0	50	262
0	81	240
1	320	240
2	2198	227
0	10004	227
0	620	3242
1	2044	3049
2	7882	3021
0	8181	2821
0	77	468
0	113	468
1	514	460
2	4501	460
0	8916	445
0	1058	6865
1	3476	6558
0	8561	6191

Stop Event

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

Compiler

Compiled 989 to 141 computations (85.7% saved)

preprocess100.0ms (1%)

Memory: 14.4MiB live, 153.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 914 to 650 computations (77.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample2.9s (28.2%)

explain324.0ms (3.1%)

preprocess200.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.6%)

localize84.0ms (0.8%)

series20.0ms (0.2%)

simplify168.0ms (1.6%)

rewrite165.0ms (1.6%)

eval74.0ms (0.7%)

prune23.0ms (0.2%)

simplify110.0ms (1.1%)

localize160.0ms (1.5%)

series97.0ms (0.9%)

simplify169.0ms (1.6%)

rewrite236.0ms (2.3%)

eval91.0ms (0.9%)

prune48.0ms (0.5%)

simplify151.0ms (1.5%)

localize280.0ms (2.7%)

series63.0ms (0.6%)

simplify214.0ms (2.1%)

rewrite192.0ms (1.9%)

eval123.0ms (1.2%)

prune61.0ms (0.6%)

simplify137.0ms (1.3%)

localize481.0ms (4.6%)

series39.0ms (0.4%)

simplify1.1s (10.9%)

rewrite178.0ms (1.7%)

eval70.0ms (0.7%)

prune63.0ms (0.6%)

regimes112.0ms (1.1%)

regimes67.0ms (0.6%)

regimes44.0ms (0.4%)

regimes30.0ms (0.3%)

regimes30.0ms (0.3%)

regimes51.0ms (0.5%)

regimes13.0ms (0.1%)

regimes35.0ms (0.3%)

bsearch103.0ms (1%)

bsearch214.0ms (2.1%)

bsearch47.0ms (0.5%)

bsearch76.0ms (0.7%)

bsearch2.0ms (0%)

bsearch108.0ms (1%)

bsearch1.0ms (0%)

simplify90.0ms (0.9%)

derivations1.1s (10.9%)

preprocess100.0ms (1%)

end0.0ms (0%)

Profiling