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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample3.3s (28.3%)

Memory

144.2MiB live, 5 319.1MiB allocated

Samples

1.1s	2 962×	0	valid
876.0ms	3 131×	1	valid
782.0ms	2 163×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-pow2: 1.0s (43.3% of total)

adjust: 290.0ms (12% of total)

ival-sub: 264.0ms (11% of total)

ival-mult: 243.0ms (10.1% of total)

ival-add: 183.0ms (7.6% of total)

ival-sqrt: 158.0ms (6.6% of total)

ival-fabs: 112.0ms (4.7% of total)

ival-div: 87.0ms (3.6% of total)

exact: 15.0ms (0.6% of total)

ival-true: 9.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain299.0ms (2.5%)

Memory

16.2MiB live, 844.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
147	-	2	(-5.025182273737535e-295 -3.0244834122574056e-162 6.176777551831873e-232)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
132	-	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))))))`
1	-	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	-	`q`
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	142	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	143
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	55
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	110
↳	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	overflow	1
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	55
`-.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	132	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	3	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	3
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	69
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	20
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	69
`*.f64`	`(.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)))))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	202	0
-	0	54

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	54
1	126
2	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	202×	1	valid
50.0ms	136×	2	valid
24.0ms	172×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow2: 21.0ms (23.5% of total)

adjust: 15.0ms (16.8% of total)

ival-mult: 12.0ms (13.4% of total)

ival-add: 12.0ms (13.4% of total)

ival-sub: 10.0ms (11.2% of total)

ival-sqrt: 8.0ms (9% of total)

ival-fabs: 5.0ms (5.6% of total)

ival-div: 4.0ms (4.5% of total)

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

exact: 1.0ms (1.1% of total)

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

preprocess203.0ms (1.7%)

Memory

21.0MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

24.3%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify90.0ms (0.8%)

Memory

0.6MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	50	93
2	86	93
3	205	93
4	376	93
5	494	93
6	547	93
7	595	93
8	621	93
9	665	93
10	732	93
11	849	93
12	920	93
13	980	93
14	1082	93
15	1188	93
16	1296	93
17	1375	93
18	1449	93
19	1557	93
20	1654	93
21	1755	93
22	1817	93
23	1849	93
24	1879	93
25	1899	93
26	1919	93
0	1919	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize168.0ms (1.4%)

Memory

9.1MiB live, 198.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.010097509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	0.19541127488984078	(.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)))))))
accuracy	30.90460261940994	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	33.83260432599537	(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

104.0ms	101×	1	valid
23.0ms	68×	2	valid
11.0ms	86×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 9.0ms (20.3% of total)

ival-pow2: 8.0ms (18.1% of total)

adjust: 7.0ms (15.8% of total)

ival-sub: 5.0ms (11.3% of total)

ival-mult: 5.0ms (11.3% of total)

ival-sqrt: 4.0ms (9% of total)

ival-fabs: 3.0ms (6.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-11.9MiB live, 46.5MiB allocated

Counts

6 → 120

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)))

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

Calls

9 calls:

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

simplify218.0ms (1.9%)

Memory

39.0MiB live, 416.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	3128
1	1967	2939
2	7546	2915
0	8220	2725

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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

rewrite236.0ms (2%)

Memory

27.8MiB live, 482.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	67
1	114	67
2	780	63
0	8827	59

Stop Event

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

Counts

6 → 189

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)))

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

eval57.0ms (0.5%)

Memory: 10.4MiB live, 129.6MiB allocated
Compiler: Compiled 14 309 to 1 596 computations (88.8% saved)

prune75.0ms (0.6%)

Memory

-66.8MiB live, 65.5MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	286	19	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	19	306

Accuracy

59.8%

Counts

306 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 p p) #s(literal 1/4 binary64)) (pow.f64 (.f64 p p) #s(literal 1/4 binary64)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	12.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	5.3%	(.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)))))))
	16.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
▶	33.0%	(.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))))
▶	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))))) (.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)))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
▶	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	14.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 q q) r) p (*.f64 q q))) r) r)) #s(literal 1/2 binary64)) r))
	15.2%	#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))
	13.5%	#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))))
	12.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 492 to 1 006 computations (32.6% saved)

simplify261.0ms (2.2%)

Memory

52.5MiB live, 351.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	627
0	103	627
1	189	623
2	457	623
3	1457	623
4	5335	623
0	8697	607

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

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

localize538.0ms (4.6%)

Memory

-73.4MiB live, 674.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	19.060606480657245	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.633640680234834	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	8.317118399105551	(.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	9.56913477656167	(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
accuracy	31.473556611754933	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	33.75122858371439	#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	0.0	(fabs.f64 p)
accuracy	0.19541127488984078	(.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))))
accuracy	30.90460261940994	(-.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	41.99572148924624	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.2217024969714	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(neg.f64 q)
accuracy	42.19276824034518	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

224.0ms	105×	2	valid
208.0ms	140×	1	valid
4.0ms	10×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 546 to 56 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-mult: 70.0ms (23.2% of total)

ival-sqrt: 67.0ms (22.2% of total)

ival-add: 64.0ms (21.2% of total)

ival-div: 39.0ms (12.9% of total)

adjust: 33.0ms (10.9% of total)

ival-sub: 14.0ms (4.6% of total)

ival-pow2: 9.0ms (3% of total)

ival-fabs: 3.0ms (1% 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)

series79.0ms (0.7%)

Memory

41.0MiB live, 163.9MiB allocated

Counts

23 → 264

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) 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))))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (+ (+ (fabs r) p) (fabs p)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
12.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) 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))))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (+ (+ (fabs r) p) (fabs p)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
11.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) 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))))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (+ (+ (fabs r) p) (fabs p)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
7.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) 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))))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (+ (+ (fabs r) p) (fabs p)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
7.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) 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))))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (+ (+ (fabs r) p) (fabs p)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))

simplify227.0ms (1.9%)

Memory

8.9MiB live, 402.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1299	7344
1	4356	7256
0	9015	6826

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

Calls

Call 1

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

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

rewrite314.0ms (2.7%)

Memory

-32.7MiB live, 338.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	480
0	103	480
1	397	472
2	3171	454
0	8325	442

Stop Event

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

Counts

23 → 366

Calls

Call 1

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

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

eval126.0ms (1.1%)

Memory: 51.6MiB live, 300.5MiB allocated
Compiler: Compiled 48 617 to 3 897 computations (92% saved)

prune134.0ms (1.1%)

Memory

-53.6MiB live, 139.0MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	654	22	676
Fresh	9	5	14
Picked	3	2	5
Done	0	0	0
Total	666	29	695

Accuracy

84.8%

Counts

695 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(.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) #s(approx (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r))) r)))
	19.6%	(.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 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) p) r) #s(literal 1 binary64))) r)))
	18.1%	(.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 (+.f64 (+.f64 (fabs.f64 r) p) p) r) #s(literal 1 binary64))) r)))
	29.3%	(.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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) (*.f64 r r))) r)))
	6.8%	(.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)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 p r)) r)))
▶	43.2%	(.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 p (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r))))
	27.5%	(.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 q q) r) #s(literal -2 binary64)))))
	32.6%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) r))))
▶	22.3%	(.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 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q)))))
	32.6%	(.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))
	33.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal -1/4 binary64) r))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
▶	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	17.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.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))
	13.5%	#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))))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	28.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Compiler

Compiled 3 533 to 2 251 computations (36.3% saved)

simplify327.0ms (2.8%)

Memory

29.7MiB live, 454.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q))))
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 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q)
cost-diff	0	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q))
cost-diff	0	(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff	0	(.f64 (/.f64 #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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r))))
cost-diff	1	(fma.f64 #s(literal -1 binary64) r (fabs.f64 r))
cost-diff	2	(/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) 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	94	964
0	143	964
1	277	952
2	655	945
3	2188	905
0	8338	882

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

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

localize547.0ms (4.6%)

Memory

70.3MiB live, 1 248.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.691192521247682	(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q))
accuracy	9.56913477656167	(-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64))
accuracy	14.71436091181175	(.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q))
accuracy	33.75122858371439	#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 p)) (fabs.f64 r)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q))))
accuracy	19.060606480657245	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	32.23352238045493	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q))
accuracy	3.071232542125398	(.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
accuracy	9.551339559244774	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	31.473556611754933	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	37.26847088754644	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.27662991248878	#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	0.00390625	(.f64 #s(literal -2 binary64) (.f64 q q))
accuracy	0.19541127488984078	(.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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r))))
accuracy	8.790900724578435	(/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)
accuracy	33.75122858371439	#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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)))

Samples

230.0ms	149×	1	valid
182.0ms	93×	2	valid
10.0ms	3×	3	valid
9.0ms	11×	0	valid

Compiler

Compiled 663 to 81 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-mult: 129.0ms (38.9% of total)

adjust: 65.0ms (19.6% of total)

ival-div: 46.0ms (13.9% of total)

ival-add: 34.0ms (10.2% of total)

ival-sub: 27.0ms (8.1% of total)

ival-sqrt: 13.0ms (3.9% of total)

ival-pow2: 13.0ms (3.9% of total)

ival-fabs: 3.0ms (0.9% of total)

exact: 2.0ms (0.6% of total)

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

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

series76.0ms (0.6%)

Memory

27.2MiB live, 156.3MiB allocated

Counts

24 → 237

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	p	@	-inf	((/ 1 2) (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+ (* -1 r) (fabs r)) (* (/ 1 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)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* -2 (* q q)) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (* (- (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/ 2 r)) (* q q)) (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1))
10.0ms	r	@	-inf	((/ 1 2) (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+ (* -1 r) (fabs r)) (* (/ 1 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)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* -2 (* q q)) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (* (- (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/ 2 r)) (* q q)) (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1))
5.0ms	r	@	inf	((/ 1 2) (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+ (* -1 r) (fabs r)) (* (/ 1 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)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* -2 (* q q)) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (* (- (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/ 2 r)) (* q q)) (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1))
5.0ms	r	@	0	((/ 1 2) (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+ (* -1 r) (fabs r)) (* (/ 1 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)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* -2 (* q q)) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (* (- (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/ 2 r)) (* q q)) (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1))
5.0ms	p	@	0	((/ 1 2) (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+ (* -1 r) (fabs r)) (* (/ 1 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)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* -2 (* q q)) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (* (- (* (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/ 2 r)) (* q q)) (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1))

simplify290.0ms (2.5%)

Memory

-53.6MiB live, 511.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	6197
1	3788	5922
0	8787	5608

Stop Event

1×	iter limit
1×	node limit

Counts

237 → 234

Calls

Call 1

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

Outputs
(/ (+ (* -2 (pow q 2)) (* r (+ (fabs p) (+ (fabs r) (* -1 r))))) r)
(/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) r)
(+ p (+ (* -2 (/ (pow q 2) r)) (+ (fabs p) (+ (fabs r) (* -1 r)))))
(+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.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 (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)))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r (.f64 #s(literal 1/2 binary64) p))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal 2 binary64) q)) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 r r) (.f64 #s(literal 1/4 binary64) (.f64 r p))) q) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 2 binary64) q)) #s(literal 1/2 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
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rewrite222.0ms (1.9%)

Memory

-10.8MiB live, 365.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	676
0	142	676
1	591	665
2	4795	665
0	8210	651

Stop Event

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

Counts

24 → 262

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64)))) #s(literal -1 binary64)) r)
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64)))) r) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64))))) (neg.f64 (neg.f64 r)))
(/.f64 (fma.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r)) (pow.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r) #s(literal 2 binary64))) r))
(/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64)))) (neg.f64 r))
(/.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64))) r)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64)))) r))
(neg.f64 (/.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) q (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (.f64 q #s(literal -2 binary64)) (/.f64 q r) (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (.f64 q q) (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (.f64 q q) (/.f64 #s(literal -2 binary64) r) (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 q q) r) (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(fma.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))
(fma.f64 r (/.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))
(-.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) (/.f64 (.f64 (*.f64 q q) #s(literal 2 binary64)) r))
(+.f64 (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)) (*.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)))
(+.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r)) (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 r r) (.f64 r r))) (neg.f64 (-.f64 (neg.f64 r) (fabs.f64 r))))
(/.f64 (neg.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 r r (fma.f64 r r (*.f64 r (fabs.f64 r))))))
(/.f64 (-.f64 (.f64 r r) (.f64 r r)) (-.f64 (fabs.f64 r) (neg.f64 r)))
(/.f64 (-.f64 (.f64 r r) (.f64 r r)) (-.f64 (neg.f64 r) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 r r (fma.f64 r r (*.f64 r (fabs.f64 r)))))
(fma.f64 (pow.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 r) (neg.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)) (neg.f64 r))
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (pow.f64 (*.f64 (neg.f64 r) r) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 r))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 r)) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 r (neg.f64 r)) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fabs.f64 r) (neg.f64 r))
(fma.f64 (sqrt.f64 r) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (neg.f64 r))
(fma.f64 (fabs.f64 r) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 r))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (neg.f64 r))
(fma.f64 r #s(literal -1 binary64) (fabs.f64 r))
(fma.f64 #s(literal -1 binary64) r (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (neg.f64 r))
(-.f64 (/.f64 (.f64 r r) (-.f64 (neg.f64 r) (fabs.f64 r))) (/.f64 (.f64 r r) (-.f64 (neg.f64 r) (fabs.f64 r))))
(-.f64 (fabs.f64 r) (*.f64 (neg.f64 r) #s(literal -1 binary64)))
(-.f64 (fabs.f64 r) (*.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r r (fma.f64 r r (.f64 r (fabs.f64 r))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r r (fma.f64 r r (.f64 r (fabs.f64 r))))))
(+.f64 (neg.f64 r) (fabs.f64 r))
(+.f64 (fabs.f64 r) (neg.f64 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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64))) r))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
(*.f64 r #s(literal -1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(.f64 r (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64))) #s(literal 1/8 binary64)) r) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 r (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 r (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
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(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p)))))
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(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
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(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p))))
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(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p)))))
(.f64 (.f64 (-.f64 (*.f64 (/.f64 r q) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) q)) (/.f64 #s(literal 2 binary64) r)) (neg.f64 q)) (neg.f64 q))
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(.f64 (-.f64 (.f64 (/.f64 r q) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q))
(.f64 (.f64 q q) (-.f64 (*.f64 (/.f64 r q) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) q)) (/.f64 #s(literal 2 binary64) r)))
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(/.f64 (.f64 (.f64 q q) (-.f64 (pow.f64 (*.f64 (/.f64 r q) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) q)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)))) (fma.f64 (/.f64 r q) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) q) (/.f64 #s(literal 2 binary64) r)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
(+.f64 (/.f64 (+.f64 (fabs.f64 p) p) r) (-.f64 (/.f64 (fabs.f64 r) r) #s(literal 1 binary64)))
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eval99.0ms (0.8%)

Memory: 15.8MiB live, 264.6MiB allocated
Compiler: Compiled 39 694 to 3 237 computations (91.8% saved)

prune62.0ms (0.5%)

Memory

-8.3MiB live, 186.5MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	472	22	494
Fresh	8	14	22
Picked	4	1	5
Done	0	2	2
Total	484	39	523

Accuracy

85.1%

Counts

523 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.1%	(.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 (+.f64 (+.f64 (fabs.f64 r) p) p) r) #s(literal 1 binary64))) r)))
	29.3%	(.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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) (*.f64 r r))) r)))
	37.6%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) r) q) q (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r))))))
	37.6%	(.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))))) #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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) (/.f64 r r))))))
	16.2%	(.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 (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (*.f64 q q) #s(literal 2 binary64))) r)))))
	27.5%	(.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 q q) r) #s(literal -2 binary64)))))
	20.4%	(.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (.f64 (-.f64 #s(approx ( (/ (- (/ (+ (+ p (fabs p)) (fabs r)) r) 1) q) (/ r q)) (/.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) (.f64 q q))) (/.f64 #s(literal 2 binary64) r)) (.f64 q q)))))
▶	47.9%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r))))))
	29.1%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))))
	32.6%	(.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))
	36.3%	(.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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (.f64 q q) #s(literal -2 binary64))) r))) #s(literal 1/2 binary64))
	33.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal -1/4 binary64) r))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
▶	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
	32.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))))
	15.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 #s(literal 1/64 binary64) (.f64 r r))) (.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal 1/8 binary64) r)) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) #s(literal 1/2 binary64))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	17.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	17.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) #s(approx (/ (+ (* 1/4 p) (* -1/8 r)) q) (.f64 (/.f64 p q) #s(literal 1/4 binary64)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	10.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	32.6%	#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 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
▶	14.0%	#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) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	12.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 #s(approx ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) r)) p)) #s(literal 1/2 binary64)) r))
	13.5%	#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))))
	6.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	28.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))

Compiler

Compiled 5 039 to 3 154 computations (37.4% saved)

simplify193.0ms (1.6%)

Memory

-12.4MiB live, 240.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1115
0	156	1111
1	308	1105
2	786	1098
3	3030	1086
0	8339	1062

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

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

localize859.0ms (7.3%)

Memory

65.4MiB live, 1 581.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	19.060606480657245	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)))))
accuracy	32.23352238045493	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q))
accuracy	32.556260096147035	#s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64))))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	26.89432226549064	#s(approx (/ (+ (* 1/4 p) (* -1/8 r)) q) (*.f64 (/.f64 p q) #s(literal 1/4 binary64)))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	32.23352238045493	#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) #s(approx (/ (+ (* 1/4 p) (* -1/8 r)) q) (*.f64 (/.f64 p q) #s(literal 1/4 binary64))))
accuracy	3.071232542125398	(.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r)
accuracy	9.551339559244774	(-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64))
accuracy	31.473556611754933	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	37.26847088754644	#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) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.557465494402	#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	0.19541127488984078	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r))))))
accuracy	7.764370295745092	(/.f64 (*.f64 q q) r)
accuracy	13.773546907272678	(+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p)))
accuracy	33.75122858371439	#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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))

Samples

399.0ms	128×	2	valid
202.0ms	97×	1	valid
101.0ms	26×	3	valid
5.0ms	5×	0	valid

Compiler

Compiled 698 to 84 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

adjust: 149.0ms (26.9% of total)

ival-mult: 143.0ms (25.8% of total)

ival-div: 131.0ms (23.6% of total)

ival-add: 66.0ms (11.9% of total)

ival-sub: 27.0ms (4.9% of total)

ival-sqrt: 17.0ms (3.1% of total)

ival-pow2: 14.0ms (2.5% of total)

ival-fabs: 4.0ms (0.7% of total)

exact: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

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

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

series55.0ms (0.5%)

Memory

28.5MiB live, 156.1MiB allocated

Counts

25 → 213

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	r	@	0	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) r) (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
7.0ms	q	@	inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) r) (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
4.0ms	p	@	0	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) r) (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
4.0ms	r	@	-inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) r) (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))
4.0ms	q	@	0	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) r) (- (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) 1/2) (* (+ (+ (fabs r) p) (fabs p)) (/ 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/ (+ (* 1/4 p) (* -1/8 r)) q) (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (/ (* q q) r) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))))

simplify207.0ms (1.8%)

Memory

-22.4MiB live, 565.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1093	5739
1	3539	5489
0	8684	5170

Stop Event

1×	iter limit
1×	node limit

Counts

213 → 210

Calls

Call 1

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

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

rewrite238.0ms (2%)

Memory

40.7MiB live, 526.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	877
0	156	874
1	656	862
2	5706	862
0	8981	844

Stop Event

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

Counts

25 → 289

Calls

Call 1

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

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

eval209.0ms (1.8%)

Memory: -92.9MiB live, 478.5MiB allocated
Compiler: Compiled 45 077 to 3 006 computations (93.3% saved)

prune74.0ms (0.6%)

Memory

4.0MiB live, 326.7MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	486	10	496
Fresh	9	22	31
Picked	3	2	5
Done	0	3	3
Total	498	37	535

Accuracy

85.1%

Counts

535 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.1%	(.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 (+.f64 (+.f64 (fabs.f64 r) p) p) r) #s(literal 1 binary64))) r)))
	29.3%	(.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 (fabs.f64 p)) (fma.f64 #s(literal -1 binary64) r (fabs.f64 r))) r (.f64 #s(literal -2 binary64) (.f64 q q))) (*.f64 r r))) r)))
	16.2%	(.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 (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (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 (fma.f64 r #s(literal -1 binary64) (fabs.f64 r)) p) (fabs.f64 p)) r (.f64 (*.f64 q q) #s(literal 2 binary64))) r)))))
	27.5%	(.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 q q) r) #s(literal -2 binary64)))))
	46.9%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r))))))
	46.9%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (fma.f64 (*.f64 #s(literal -2 binary64) q) (/.f64 q r) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r))))))
	45.9%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 #s(approx (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (fma.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) p) r) #s(literal -2 binary64) (/.f64 (fabs.f64 p) p)) p p)) (-.f64 (fabs.f64 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 #s(approx (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r))))))
	32.6%	(.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))
	33.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	47.9%	(.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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r))))))
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(approx (+ ( (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p)) (.f64 #s(literal -1/4 binary64) r))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	4.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) p) q) (/.f64 q p)) (neg.f64 p) (neg.f64 p)))) #s(literal 1/2 binary64))))
	32.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))))
	4.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) #s(approx (* (neg p) (+ (* (/ 2 p) (/ (* q q) p)) 1)) (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) (neg.f64 p))))) #s(literal 1/2 binary64))))
	15.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 p p)) (.f64 #s(literal 1/64 binary64) (.f64 r r))) (.f64 (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal 1/8 binary64) r)) q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	14.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) #s(literal 1/2 binary64))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) (.f64 p p)) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) r))) (.f64 q q)) (.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) #s(literal 1/2 binary64))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	17.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
✓	17.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) #s(approx (/ (+ (* 1/4 p) (* -1/8 r)) q) (.f64 (/.f64 p q) #s(literal 1/4 binary64)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 p) p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	10.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	10.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	13.5%	#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))))
	6.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	28.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* -1/4 r) (- 1 (* p (/ p (+ (* (* q q) 4) (* p p)))))) (* 1/2 p))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) (/.f64 #s(literal 1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))

Compiler

Compiled 7 399 to 2 169 computations (70.7% saved)

regimes238.0ms (2%)

Memory

-8.1MiB live, 383.9MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

95.0ms	(.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)))))))
38.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
22.0ms	(-.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))))))
20.0ms	q
20.0ms	r

Results

Accuracy	Segments	Branch
71.6%	3	`(pow.f64 q #s(literal 2 binary64))`
71.6%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
61.6%	3	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
61.6%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
58.5%	5	`p`
61.9%	3	`r`
71.6%	3	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes37.0ms (0.3%)

Memory

2.8MiB live, 65.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

22.0ms	(pow.f64 q #s(literal 2 binary64))
7.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.7%	2	`(pow.f64 q #s(literal 2 binary64))`
69.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
69.7%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes29.0ms (0.2%)

Memory

-7.3MiB live, 55.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

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

Calls

3 calls:

16.0ms	(pow.f64 q #s(literal 2 binary64))
6.0ms	q
5.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.1%	2	`(pow.f64 q #s(literal 2 binary64))`
66.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
66.1%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes25.0ms (0.2%)

Memory

11.0MiB live, 74.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

6.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.0ms	q
3.0ms	p
3.0ms	r
3.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
37.1%	2	`p`
38.6%	2	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
38.6%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
38.0%	2	`r`
43.3%	2	`(pow.f64 q #s(literal 2 binary64))`
43.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
43.3%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
39.1%	2	`(pow.f64 q #s(literal 2 binary64))`
39.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
39.1%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes17.0ms (0.1%)

Memory

-15.9MiB live, 45.7MiB allocated

Accuracy

Total -20.9b remaining (-49.4%)

Threshold costs -20.9b (-49.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`p`
34.1%	1	`r`
34.1%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
34.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
34.1%	1	`(pow.f64 q #s(literal 2 binary64))`
34.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
34.1%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch267.0ms (2.3%)

Memory

20.7MiB live, 206.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
187.0ms	5.20783962265412e+32	2.5095732745943683e+34
72.0ms	1.0417844055644263e-29	1.5677121524422561e-27

Samples

169.0ms	64×	2	valid
49.0ms	60×	0	valid
30.0ms	100×	1	valid

Compiler

Compiled 1 971 to 1 270 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-sub: 155.0ms (78.9% of total)

ival-pow2: 16.0ms (8.1% of total)

adjust: 7.0ms (3.6% of total)

ival-add: 5.0ms (2.5% of total)

ival-mult: 5.0ms (2.5% of total)

ival-sqrt: 4.0ms (2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory

11.8MiB live, 124.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	5.723085262822884e+24	3.6789501134166934e+31

Samples

21.0ms	77×	1	valid
6.0ms	21×	2	valid
5.0ms	46×	0	valid

Compiler

Compiled 997 to 672 computations (32.6% saved)

Precisions

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

ival-div: 6.0ms (22.5% of total)

adjust: 4.0ms (15% of total)

ival-pow2: 4.0ms (15% of total)

ival-sub: 3.0ms (11.2% of total)

ival-add: 3.0ms (11.2% of total)

ival-mult: 3.0ms (11.2% of total)

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

ival-fabs: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory

9.8MiB live, 67.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	981600408630142100.0	1.274569643664591e+19

Samples

20.0ms	51×	1	valid
5.0ms	17×	2	valid
3.0ms	28×	0	valid

Compiler

Compiled 721 to 468 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.5% of total)

adjust: 3.0ms (12.4% of total)

ival-pow2: 3.0ms (12.4% of total)

ival-sub: 2.0ms (8.3% of total)

ival-sqrt: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-div: 1.0ms (4.1% of total)

ival-fabs: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch61.0ms (0.5%)

Memory

18.9MiB live, 90.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	6.358104915942706e-94	4.0582191928472246e-92

Samples

42.0ms	58×	2	valid
8.0ms	40×	1	valid
2.0ms	14×	0	valid

Compiler

Compiled 550 to 416 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow2: 29.0ms (62.8% of total)

adjust: 5.0ms (10.8% of total)

ival-sub: 3.0ms (6.5% of total)

ival-mult: 3.0ms (6.5% of total)

ival-add: 3.0ms (6.5% of total)

ival-sqrt: 2.0ms (4.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory

-37.1MiB live, 75.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.1525794960090324e-166	4.609298811997957e-166

Samples

17.0ms	42×	2	valid
9.0ms	27×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 390 to 299 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 11.0ms (45.5% of total)

adjust: 3.0ms (12.4% of total)

ival-pow2: 3.0ms (12.4% of total)

ival-sub: 2.0ms (8.3% of total)

ival-sqrt: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

ival-div: 1.0ms (4.1% of total)

ival-fabs: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify74.0ms (0.6%)

Memory

-29.6MiB live, 126.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	594
1	184	586
2	425	582
3	1464	566
4	6705	566

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 2676089423823675/89202980794122492566142873090593446023921664 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))) (if (<=.f64 q #s(literal 22000000000000002261419595535482880 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 174999999999999989406060511232 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1120000000000000000 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 #s(approx (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 32108980623861/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 2904660898216695/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 2676089423823675/89202980794122492566142873090593446023921664 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))) (if (<=.f64 q #s(literal 22000000000000002261419595535482880 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 2676089423823675/89202980794122492566142873090593446023921664 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))) (if (<=.f64 q #s(literal 22000000000000002261419595535482880 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 174999999999999989406060511232 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 (+.f64 p (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fabs.f64 p))) (-.f64 (fabs.f64 r) r)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1120000000000000000 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) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 #s(approx (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1120000000000000000 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) #s(approx (/ (+ (* (+ (+ p (fabs p)) (+ (* -1 r) (fabs r))) r) (* -2 (* q q))) r) (+.f64 #s(approx (+ p (+ (* (/ (* q q) r) -2) (fabs p))) (+.f64 (fabs.f64 p) p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 32108980623861/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 2904660898216695/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness873.0ms (7.4%)

Memory

8.5MiB live, 1 017.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	6197
1	3788	5922
0	8787	5608
0	1093	5739
1	3539	5489
0	8684	5170
0	108	877
0	156	874
1	656	862
2	5706	862
0	8981	844
0	1299	7344
1	4356	7256
0	9015	6826
0	598	3128
1	1967	2939
2	7546	2915
0	8220	2725

Stop Event

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

Compiler

Compiled 1 047 to 342 computations (67.3% saved)

preprocess182.0ms (1.5%)

Memory: 66.3MiB live, 236.4MiB allocated
Compiler: Compiled 2 076 to 538 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.3s (28.3%)

explain299.0ms (2.5%)

preprocess203.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (0.8%)

localize168.0ms (1.4%)

series27.0ms (0.2%)

simplify218.0ms (1.9%)

rewrite236.0ms (2%)

eval57.0ms (0.5%)

prune75.0ms (0.6%)

simplify261.0ms (2.2%)

localize538.0ms (4.6%)

series79.0ms (0.7%)

simplify227.0ms (1.9%)

rewrite314.0ms (2.7%)

eval126.0ms (1.1%)

prune134.0ms (1.1%)

simplify327.0ms (2.8%)

localize547.0ms (4.6%)

series76.0ms (0.6%)

simplify290.0ms (2.5%)

rewrite222.0ms (1.9%)

eval99.0ms (0.8%)

prune62.0ms (0.5%)

simplify193.0ms (1.6%)

localize859.0ms (7.3%)

series55.0ms (0.5%)

simplify207.0ms (1.8%)

rewrite238.0ms (2%)

eval209.0ms (1.8%)

prune74.0ms (0.6%)

regimes238.0ms (2%)

regimes37.0ms (0.3%)

regimes29.0ms (0.2%)

regimes25.0ms (0.2%)

regimes7.0ms (0.1%)

regimes17.0ms (0.1%)

bsearch267.0ms (2.3%)

bsearch51.0ms (0.4%)

bsearch36.0ms (0.3%)

bsearch61.0ms (0.5%)

bsearch35.0ms (0.3%)

simplify74.0ms (0.6%)

soundness873.0ms (7.4%)

preprocess182.0ms (1.5%)

end0.0ms (0%)

Profiling