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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.2s (22.8%)

Memory

85.2MiB live, 3 682.3MiB allocated

Samples

680.0ms	3 164×	1	valid
674.0ms	2 173×	2	valid
313.0ms	2 919×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow2: 242.0ms (18.1% of total)

adjust: 230.0ms (17.2% of total)

ival-mult: 182.0ms (13.6% of total)

ival-add: 173.0ms (12.9% of total)

ival-sub: 165.0ms (12.3% of total)

ival-sqrt: 152.0ms (11.4% of total)

ival-div: 97.0ms (7.2% of total)

ival-fabs: 77.0ms (5.8% of total)

exact: 11.0ms (0.8% of total)

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

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

Bogosity

explain358.0ms (3.8%)

Memory

-44.7MiB live, 477.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	150	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	150
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	119
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	67
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	139	0

Confusion

	Predicted +	Predicted -
+	211	0
-	0	45

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	211	0	0
-	0	0	45

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	45
1	133
2	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms	212×	1	valid
42.0ms	128×	2	valid
23.0ms	172×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

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

ival-pow2: 25.0ms (28.2% of total)

ival-sub: 14.0ms (15.8% of total)

adjust: 14.0ms (15.8% of total)

ival-mult: 9.0ms (10.2% of total)

ival-add: 9.0ms (10.2% of total)

ival-sqrt: 7.0ms (7.9% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

preprocess225.0ms (2.4%)

Memory

26.7MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.8%	(.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

▶

21.8%

(*.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)

simplify75.0ms (0.8%)

Memory

12.6MiB live, 53.8MiB 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

localize336.0ms (3.5%)

Memory

62.8MiB live, 251.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.026386279305326048	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	32.10276473357485	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	34.6831935890813	(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

293.0ms	106×	1	valid
20.0ms	64×	2	valid
10.0ms	86×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

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

ival-div: 192.0ms (63.7% of total)

ival-sub: 79.0ms (26.2% of total)

adjust: 7.0ms (2.3% of total)

ival-pow2: 7.0ms (2.3% of total)

ival-mult: 5.0ms (1.7% of total)

ival-add: 5.0ms (1.7% of total)

ival-sqrt: 4.0ms (1.3% of total)

ival-fabs: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-0.1MiB live, 42.9MiB allocated

Counts

7 → 128

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	p	@	inf	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
3.0ms	q	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	p	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	r	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	q	@	inf	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))

simplify189.0ms (2%)

Memory

26.2MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

Calls

Call 1

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

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

rewrite195.0ms (2%)

Memory

-23.0MiB live, 259.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 239

Calls

Call 1

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

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

eval136.0ms (1.4%)

Memory: -13.3MiB live, 129.7MiB allocated
Compiler: Compiled 16 443 to 1 982 computations (87.9% saved)

prune25.0ms (0.3%)

Memory

3.6MiB live, 54.0MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

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

Accuracy

59.6%

Counts

363 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
	15.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	17.2%	(.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)))))))
	11.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	5.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	10.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 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 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 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 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))))))
	20.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	32.6%	(.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))))
	19.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
▶	13.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r)))
	16.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	16.1%	#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 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)))
▶	12.3%	#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))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	14.1%	#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))
	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))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 046 to 1 106 computations (45.9% saved)

simplify109.0ms (1.1%)

Memory

29.3MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r)))
cost-diff	2	(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r))))
cost-diff	0	(.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)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 q q) r) p (*.f64 q q))) r) r)) #s(literal 1/2 binary64)) r))
cost-diff	2	(fma.f64 (/.f64 (.f64 q q) r) p (.f64 q q))
cost-diff	2	(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))
cost-diff	0	(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
cost-diff	0	(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	59	646
0	94	646
1	172	642
2	424	634
3	1789	616
0	8274	590

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.9%)

Memory

13.6MiB live, 576.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	7.683510863777651	(.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r)
accuracy	14.33848980266225	(.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64))))
accuracy	26.71172468846986	(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r)))
accuracy	36.168294651390475	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r))
accuracy	9.412558306011483	(fma.f64 (/.f64 (.f64 q q) r) p (.f64 q q))
accuracy	13.428362009166307	(-.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))
accuracy	30.135285476020798	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	36.17037765762326	#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))
accuracy	3.9015660571859483	(.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	10.427738316717445	(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	30.135285476020798	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	37.01653441087518	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.21213754550991	#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	42.41604709067044	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

109.0ms	137×	1	valid
84.0ms	93×	2	valid
15.0ms	13×	3	valid
4.0ms	13×	0	valid

Compiler

Compiled 556 to 55 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

adjust: 38.0ms (23.6% of total)

ival-mult: 31.0ms (19.2% of total)

ival-add: 26.0ms (16.1% of total)

ival-div: 23.0ms (14.3% of total)

ival-sub: 14.0ms (8.7% of total)

ival-pow2: 8.0ms (5% of total)

ival-pow: 7.0ms (4.3% of total)

ival-fabs: 7.0ms (4.3% of total)

ival-sqrt: 4.0ms (2.5% of total)

ival-neg: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series57.0ms (0.6%)

Memory

12.2MiB live, 152.8MiB allocated

Counts

21 → 195

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) 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) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) (+ (* (/ (* q q) r) p) (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (/ 1 2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs r) p) (fabs p)) (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* q q) (/ p (pow r 3))) (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r))
10.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (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) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) (+ (* (/ (* q q) r) p) (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (/ 1 2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs r) p) (fabs p)) (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* q q) (/ p (pow r 3))) (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r))
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) (- (+ (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) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) (+ (* (/ (* q q) r) p) (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (/ 1 2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs r) p) (fabs p)) (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* q q) (/ p (pow r 3))) (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r))
5.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (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) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) (+ (* (/ (* q q) r) p) (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (/ 1 2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs r) p) (fabs p)) (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* q q) (/ p (pow r 3))) (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r))
4.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) 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) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) (+ (* (/ (* q q) r) p) (* q q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (/ 1 2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs r) p) (fabs p)) (- (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (* q q) (/ p (pow r 3))) (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r))

simplify175.0ms (1.8%)

Memory

-16.9MiB live, 266.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	4711
1	2559	4476
0	8400	4285

Stop Event

1×	iter limit
1×	node limit

Counts

195 → 192

Calls

Call 1

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

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

rewrite155.0ms (1.6%)

Memory

29.9MiB live, 261.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	479
0	94	479
1	374	475
2	3115	475
0	8197	465

Stop Event

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

Counts

21 → 227

Calls

Call 1

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

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

eval192.0ms (2%)

Memory: -29.4MiB live, 176.5MiB allocated
Compiler: Compiled 29 261 to 2 652 computations (90.9% saved)

prune46.0ms (0.5%)

Memory

14.2MiB live, 114.7MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	431	23	454
Fresh	8	9	17
Picked	3	2	5
Done	0	0	0
Total	442	34	476

Accuracy

75.0%

Counts

476 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
	15.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	20.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
▶	32.6%	(.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))))
	14.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 q q) p) (.f64 r r)) r) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r)))) r)))
	9.6%	(.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 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 q q) r) p) r) #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 q q) r) p) r)))) r)))
	20.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) #s(approx (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ ( (/ (* q q) r) -2) p) r))) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (.f64 #s(literal -2 binary64) (.f64 q q))) (*.f64 r r)))) r)))
	18.8%	(.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 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) #s(approx (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ ( (/ (* q q) r) -2) p) r))) (.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r)))) r)))
	12.0%	(.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 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 q q) r) p) r)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 q q) r) p) r)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) q) (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 q q) r) p) r)))))) r)))
	17.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 #s(approx (+ ( (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (fma.f64 #s(literal -2 binary64) (fma.f64 p (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))) (.f64 (/.f64 q r) (/.f64 q r))) (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)))) r)))
	17.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 #s(approx (+ ( (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) (.f64 (-.f64 (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 q q))) r)))
▶	16.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r)))))
	28.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
	16.1%	#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 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)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	10.2%	#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 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
	12.0%	#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))
▶	12.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
	28.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
▶	11.7%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 q (.f64 r r)) (/.f64 q p) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) (+.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)) r))
	8.5%	#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))
	12.3%	#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 (/.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)) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	19.3%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	4.4%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (.f64 (.f64 (neg.f64 r) p) (-.f64 (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) r)))))
	22.5%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))))
	6.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (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))))
	9.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	14.1%	#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 3 683 to 2 287 computations (37.9% saved)

simplify170.0ms (1.8%)

Memory

-8.7MiB live, 320.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	965
0	147	965
1	308	959
2	1021	926
3	6017	920
0	8150	890

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

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

localize539.0ms (5.6%)

Memory

-4.4MiB live, 857.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	15.227425725259877	(+.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))
accuracy	15.410128611911873	(/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64)))
accuracy	20.221262002376534	(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	36.17037765762326	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 q (.f64 r r)) (/.f64 q p) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) (+.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)) r))
accuracy	9.994235565454735	(.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))
accuracy	15.162773113749783	(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
accuracy	22.647443668695587	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r))
accuracy	36.168294651390475	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r))))
accuracy	3.4507743714911863	(.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p))
accuracy	11.603227606171197	(-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy	28.42461240892536	(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
accuracy	37.01653441087518	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.10249687172129	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	32.10276473357485	(-.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	42.363037003953124	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))

Samples

217.0ms	137×	2	valid
206.0ms	98×	1	valid
26.0ms	14×	3	valid
3.0ms	7×	0	valid

Compiler

Compiled 655 to 84 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-fabs: 78.0ms (20.1% of total)

ival-mult: 73.0ms (18.8% of total)

adjust: 69.0ms (17.8% of total)

ival-div: 64.0ms (16.5% of total)

ival-add: 49.0ms (12.6% of total)

ival-sub: 33.0ms (8.5% of total)

ival-pow2: 8.0ms (2.1% of total)

ival-pow: 6.0ms (1.5% of total)

ival-sqrt: 4.0ms (1% of total)

ival-neg: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series58.0ms (0.6%)

Memory

11.7MiB live, 103.7MiB allocated

Counts

25 → 197

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p))
(-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r))))
(fma.f64 (/.f64 q (.f64 r r)) (/.f64 q p) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 q (.f64 r r)) (/.f64 q p) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) (+.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)))
(+.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))
#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 q (.f64 r r)) (/.f64 q p) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) (+.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)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
(fabs.f64 p)
(fabs.f64 r)
(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 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))))
(+ (fabs p) (fabs r))
(* 1/2 p)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(/ (+ (* -2 (* (pow q 2) r)) (* (pow r 2) (- (+ (fabs p) (fabs r)) r))) (pow r 2))
(+ (* -2 (/ (pow q 2) r)) (+ (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (- (+ (fabs p) (fabs r)) r)))
(/ (pow q 2) (* p (pow r 2)))
(/ (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) p)
(/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) p)
(/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2) p)
(/ (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) p)
(/ (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2) p)
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fabs p)
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(* (pow r 2) (- (+ (fabs p) (fabs r)) r))
(+ (* p (pow r 2)) (* (pow r 2) (- (+ (fabs p) (fabs r)) r)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(* -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 (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(/ (* p (+ (* -2 (pow q 2)) (pow r 2))) (pow r 2))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(/ (pow q 2) (pow r 3))
(+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3)))
(+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))
(- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r)))))) (* 1/2 (/ 1 p)))
(/ 1/2 r)
(- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p)))
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))) (/ r p)))
(* p (pow r 2))
(* p (+ (/ (* (pow r 2) (- (+ (fabs p) (fabs r)) r)) p) (pow r 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 (pow r 2)) (* 2 (pow q 2)))) (pow r 2)))
(* -1 (* p (+ -1 (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))))))
(+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)) (/ (pow q 2) (pow r 2))) p)) (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* -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 (/ (* (pow r 2) (- (+ (fabs p) (fabs r)) r)) p)) (* -1 (pow r 2)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* -1/2 (/ (+ (fabs p) (fabs r)) p))
(+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p)))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(/ (+ (/ (* (pow q 2) r) p) (pow q 2)) (pow r 3))
(* -1 (/ (pow q 2) (pow r 3)))
(/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) (pow r 3))
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1 (/ (pow q 2) p)) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))))) (pow r 3))
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1 (/ (pow q 2) p)) (* r (+ 1/2 (+ (* -1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))))))) (pow r 3))
(/ (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))) r)
(/ (+ 1/2 (+ (* -1/2 (/ r p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)))) r)
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(fabs r)
(+ (fabs p) (+ (fabs r) (* -1 r)))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* (pow r 2) (+ p (+ (fabs p) (fabs r))))
(* (pow r 2) (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(/ (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs 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)))))))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* r (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
(/ (+ (/ (pow q 2) p) (/ (pow q 2) r)) (pow r 2))
(/ -1/2 p)
(- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r)))) (* 1/2 (/ 1 p)))
(- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r))))) (* 1/2 (/ 1 p)))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* -1 (pow r 3))
(* (pow r 3) (- (+ (/ 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 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (- (* 1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(- (* -1 (/ (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2) r)) (* 1/2 (/ 1 p)))
(- (* -1 (/ (- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (* p r))) 1/2) r)) (* 1/2 (/ 1 p)))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* -1 (/ (pow q 2) r))) r)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2) r)) (* 1/2 (/ 1 p)))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* (pow r 3) (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (* (pow q 2) (+ p r)) (pow r 2)))))) r)
(* (pow q 2) (+ (/ 1 (* p (pow r 2))) (/ 1 (pow r 3))))
(- (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r)))) (* 1/2 (/ 1 p)))
(- (+ (* -1 (* (pow q 2) (+ (/ 1 (* p (pow r 2))) (/ 1 (pow r 3))))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (fabs p) (fabs r)) (* p r))))) (* 1/2 (/ 1 p)))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(* -1 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 (/ (* (pow q 2) (+ p r)) (pow r 2)))
(* (pow q 2) (- (+ (* -2 (/ (+ p r) (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (/ r (pow q 2))))
(* -1 (* (pow q 2) (+ (/ 1 (* p (pow r 2))) (/ 1 (pow r 3)))))
(* (pow q 2) (- (+ (* -1 (+ (/ 1 (* p (pow r 2))) (/ 1 (pow r 3)))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) (* p (* (pow q 2) r)))) (/ 1/2 (* (pow q 2) r)))) (/ 1/2 (* p (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
15.0ms	p	@	-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))))) (+ (fabs p) (fabs 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) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (+ (* -1 (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3)))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (- (fabs r) (- r (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p))) (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (/ (* q q) (pow r 3)))
7.0ms	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))))) (+ (fabs p) (fabs 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) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (+ (* -1 (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3)))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (- (fabs r) (- r (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p))) (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (/ (* q q) (pow r 3)))
6.0ms	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))))) (+ (fabs p) (fabs 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) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (+ (* -1 (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3)))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (- (fabs r) (- r (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p))) (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (/ (* q q) (pow r 3)))
5.0ms	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))))) (+ (fabs p) (fabs 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) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (+ (* -1 (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3)))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (- (fabs r) (- r (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p))) (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (/ (* q q) (pow r 3)))
5.0ms	p	@	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))))) (+ (fabs p) (fabs 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) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (+ (* -1 (+ (* (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3)))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p))) (+ (/ 1/2 r) (/ (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (- (fabs r) (- r (fabs p))) (+ (+ p (- (fabs r) r)) (fabs p)) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p))) (- (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (/ (* q q) (pow r 3)))

simplify162.0ms (1.7%)

Memory

-7.7MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	821	4540
1	2767	4341
0	8550	4131

Stop Event

1×	iter limit
1×	node limit

Counts

197 → 194

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

rewrite210.0ms (2.2%)

Memory

15.5MiB live, 295.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	572
0	148	572
1	646	570
2	6041	570
0	9506	556

Stop Event

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

Counts

25 → 404

Calls

Call 1

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

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

eval176.0ms (1.8%)

Memory: -9.5MiB live, 277.4MiB allocated
Compiler: Compiled 53 193 to 4 540 computations (91.5% saved)

prune46.0ms (0.5%)

Memory

-0.4MiB live, 92.0MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	686	11	697
Fresh	12	15	27
Picked	4	1	5
Done	0	2	2
Total	702	29	731

Accuracy

84.2%

Counts

731 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
	15.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	20.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
▶	22.9%	(.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 r (/.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) (.f64 r r)) (.f64 (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (/.f64 (+.f64 r p) r))))))
	14.3%	(.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) #s(approx (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) #s(literal 1 binary64)) p (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))))))))
	16.5%	(.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) #s(approx (/ (+ (* -2 (* (* q q) (+ r p))) (* (* r r) (+ (+ p (- (fabs r) r)) (fabs p)))) (* r r)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 q r) (/.f64 q p) (.f64 (/.f64 q r) (/.f64 q r))) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p))) p)))))
▶	32.6%	(.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))
	16.7%	(.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r)))))
	16.1%	#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 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)))
	17.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	10.2%	#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 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
▶	12.0%	#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))
	14.3%	#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 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64))))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
	28.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	13.8%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ ( (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (.f64 (/.f64 q (.f64 r r)) (/.f64 q p))) (+.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)) r))
▶	6.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
▶	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	19.3%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	22.5%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))))
	10.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))))
	31.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
	9.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	14.1%	#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 2 947 to 1 888 computations (35.9% saved)

simplify233.0ms (2.4%)

Memory

21.7MiB live, 301.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	680
0	119	661
1	236	624
2	874	580
3	5874	568
0	8705	541

Stop Event

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

Calls

Call 1

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

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

localize318.0ms (3.3%)

Memory

-17.7MiB live, 517.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.859591628392333	(/.f64 (*.f64 q q) r)
accuracy	13.685006430560993	(/.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) (.f64 r r))
accuracy	14.516091475068345	(-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))
accuracy	23.570431604702534	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 r (/.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) (.f64 r r)) (.f64 (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (/.f64 (+.f64 r p) r)))))
accuracy	0.38671875	(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p))
accuracy	3.9015660571859483	(.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)
accuracy	10.427738316717445	(-.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))
accuracy	28.546721789819568	#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))
accuracy	0.0	(.f64 #s(approx (- ( (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p))
accuracy	0.0	(neg.f64 p)
accuracy	28.546721789819568	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) (neg.f64 p)))
accuracy	43.733567225056014	#s(approx (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	46.771068501609804	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	21.47673878461168	(-.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))))
accuracy	31.685439509082276	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))

Samples

154.0ms	141×	2	valid
40.0ms	64×	0	invalid
37.0ms	25×	1	valid
28.0ms	19×	3	valid
3.0ms	7×	0	valid

Compiler

Compiled 464 to 70 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 68.0ms (32.6% of total)

adjust: 45.0ms (21.5% of total)

ival-add: 25.0ms (12% of total)

ival-div: 25.0ms (12% of total)

ival-sub: 20.0ms (9.6% of total)

ival-sqrt: 8.0ms (3.8% of total)

ival-pow2: 7.0ms (3.4% of total)

ival-fabs: 5.0ms (2.4% of total)

ival-pow: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series44.0ms (0.5%)

Memory

18.0MiB live, 61.3MiB allocated

Counts

24 → 186

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (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))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(* 1/2 (/ r p))
(+ r (fabs p))
(+ p (+ r (fabs p)))
(* 1/2 (/ (+ r (fabs p)) r))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ r (fabs p)) r)))
(* r (- (* 1/2 (/ (+ r (fabs p)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ r (fabs p)) r)) 1/2)))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(/ (- (+ (fabs p) (fabs r)) r) r)
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fabs p)
(* -1 p)
(- (* 1/2 (/ (+ r (fabs p)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ r (fabs p)) r))) 1/2)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
p
(* p (+ 1 (+ (/ r p) (/ (fabs p) p))))
(* 1/2 (/ p r))
(* p (+ (* 1/2 (/ (+ 1 (/ (fabs p) r)) p)) (* 1/2 (/ 1 r))))
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ 1 (/ (fabs p) r))) 1/2)) p)))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(/ p r)
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 p)))
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* p (- (+ (* 1/2 (/ (+ 1 (/ (fabs p) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 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 (/ (+ r (fabs p)) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (+ 1 (/ (fabs p) r)) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ 1 (/ (fabs p) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r))))
(* -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 (/ (- (* 1/2 (+ 1 (/ (fabs p) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(fabs r)
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* 1/2 r)
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(+ p (fabs p))
(* 1/2 (/ (+ p (fabs p)) r))
(/ (+ (* 1/2 r) (* 1/2 (+ p (fabs p)))) r)
(* 1/2 (+ p (fabs p)))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(/ (+ p (+ (fabs p) (fabs r))) r)
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r)
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(/ (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 (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
r
(* r (+ 1 (+ (/ p r) (/ (fabs p) r))))
1/2
(+ 1/2 (* 1/2 (/ (+ p (fabs p)) r)))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
-1
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (pow (sqrt -1) 2)))
(* -1 (* r (+ (* -1 (/ (+ p (fabs p)) r)) (pow (sqrt -1) 2))))
(* -1/2 (pow (sqrt -1) 2))
(+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (+ p (fabs p)) r)))
(* r (- (* -1/2 (pow (sqrt -1) 2)) 1/2))
(* -1 (* r (+ (* -1 (- (* -1/2 (pow (sqrt -1) 2)) 1/2)) (* -1/2 (/ (+ p (fabs p)) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(- (* -1/2 (pow (sqrt -1) 2)) 1/2)
(- (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (+ p (fabs p)) r))) 1/2)
(* 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 (+ (fabs p) (+ (fabs r) (* -2 (/ (* (pow q 2) (+ p r)) (pow r 2)))))) r)
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(* -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 (/ (* (pow q 2) (+ p r)) (pow r 2)))
(* (pow q 2) (- (+ (* -2 (/ (+ p r) (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (/ r (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
15.0ms	p	@	inf	((fabs r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ r p) 1/2) (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (+ (* r (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r))) (* (* (/ (* q q) r) -2) (/ (+ r p) r))) (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/ 1 2) (- (+ (fabs r) p) (- r (fabs p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (neg p) (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r))
6.0ms	p	@	-inf	((fabs r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ r p) 1/2) (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (+ (* r (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r))) (* (* (/ (* q q) r) -2) (/ (+ r p) r))) (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/ 1 2) (- (+ (fabs r) p) (- r (fabs p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (neg p) (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r))
4.0ms	r	@	-inf	((fabs r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ r p) 1/2) (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (+ (* r (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r))) (* (* (/ (* q q) r) -2) (/ (+ r p) r))) (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/ 1 2) (- (+ (fabs r) p) (- r (fabs p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (neg p) (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r))
4.0ms	p	@	0	((fabs r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ r p) 1/2) (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (+ (* r (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r))) (* (* (/ (* q q) r) -2) (/ (+ r p) r))) (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/ 1 2) (- (+ (fabs r) p) (- r (fabs p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (neg p) (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r))
3.0ms	r	@	inf	((fabs r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (neg p)) (- (* (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (* (/ r p) 1/2) (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (+ (* r (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r))) (* (* (/ (* q q) r) -2) (/ (+ r p) r))) (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/ 1 2) (- (+ (fabs r) p) (- r (fabs p))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (neg p) (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r))

simplify194.0ms (2%)

Memory

-10.9MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	4027
1	2512	3782
0	8796	3581

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 183

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

rewrite218.0ms (2.3%)

Memory

47.6MiB live, 271.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	426
0	115	395
1	487	373
2	4151	373
0	8815	362

Stop Event

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

Counts

24 → 324

Calls

Call 1

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

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

eval139.0ms (1.5%)

Memory: -12.4MiB live, 234.5MiB allocated
Compiler: Compiled 34 294 to 3 135 computations (90.9% saved)

prune55.0ms (0.6%)

Memory

25.1MiB live, 156.7MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	544	13	557
Fresh	8	13	21
Picked	3	2	5
Done	0	3	3
Total	555	31	586

Accuracy

86.0%

Counts

586 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
	15.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	20.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	40.6%	(.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 (/.f64 (+.f64 p r) r) (.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r)) (.f64 (.f64 (+.f64 p (+.f64 #s(literal 0 binary64) (fabs.f64 p))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	25.6%	(.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 r (/.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) (.f64 r r)) (.f64 (.f64 (*.f64 (/.f64 q (sqrt.f64 r)) (/.f64 q (sqrt.f64 r))) #s(literal -2 binary64)) (/.f64 (+.f64 r p) r))))))
	18.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 r #s(approx (/ (* (- (+ (fabs r) p) (- r (fabs p))) r) (* r r)) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) r)) (.f64 (.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (/.f64 (+.f64 r p) r))))))
	17.5%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64))
	18.5%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
	32.6%	(.f64 (-.f64 (+.f64 (fabs.f64 p) r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	16.1%	(.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) #s(literal 1/2 binary64))
	32.4%	(.f64 #s(approx (- (+ (fabs r) (fabs p)) (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 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r)) r)) #s(literal 1/2 binary64))
	16.7%	(.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 q q) (+.f64 r p)) (.f64 (.f64 r r) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))) (*.f64 r r)))))
	11.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) #s(literal 1/2 binary64)) (sqrt.f64 r)) (sqrt.f64 r)) #s(literal 1/2 binary64)) r))
	10.2%	#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 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
✓	12.0%	#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))
	14.3%	#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 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64))))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 p)))
	28.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	17.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r))
	13.8%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ ( (/ q (* r r)) (/ q p)) (/ (* q q) (pow r 3))) (.f64 (/.f64 q (.f64 r r)) (/.f64 q p))) (+.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)) r))
	6.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (- (fabs r) (- r (fabs p))) p) -1/2) 1/2) (*.f64 r (/.f64 #s(literal 1/2 binary64) p))) (neg.f64 p)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) #s(literal 0 binary64)) r))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	33.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	19.3%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	22.5%	#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) (/ (/ (neg (+ (* (/ (* q q) r) p) (* q q))) r) r)) 1/2) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))))
	14.1%	#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))))))
	31.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64))))

Compiler

Compiled 5 458 to 1 512 computations (72.3% saved)

regimes155.0ms (1.6%)

Memory

-21.8MiB live, 254.5MiB allocated

Counts

70 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

39.0ms	p
23.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
19.0ms	q
17.0ms	(pow.f64 q #s(literal 2 binary64))
17.0ms	r

Results

Accuracy	Segments	Branch
60.9%	4	`(pow.f64 q #s(literal 2 binary64))`
60.9%	4	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
52.5%	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))))))`
52.5%	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)))))))`
55.6%	3	`p`
64.2%	3	`r`
60.9%	4	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes42.0ms (0.4%)

Memory

34.4MiB live, 78.8MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

12.0ms	q
9.0ms	r
9.0ms	(pow.f64 q #s(literal 2 binary64))
9.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.8%	2	`(pow.f64 q #s(literal 2 binary64))`
56.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
56.8%	2	`q`
57.9%	4	`r`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes19.0ms (0.2%)

Memory

-11.0MiB live, 33.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

#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	q
2.0ms	p
2.0ms	r
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	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
39.1%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
35.9%	2	`p`
37.3%	2	`r`
46.3%	2	`(pow.f64 q #s(literal 2 binary64))`
46.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
46.3%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes36.0ms (0.4%)

Memory

-24.9MiB live, 36.2MiB allocated

Accuracy

Total -20.7b remaining (-48.8%)

Threshold costs -20.7b (-48.8%)

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:

24.0ms	q
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	p
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
33.7%	1	`p`
33.7%	1	`r`
33.7%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
33.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
33.7%	1	`q`
33.7%	1	`(pow.f64 q #s(literal 2 binary64))`
33.7%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch75.0ms (0.8%)

Memory

35.0MiB live, 123.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	5.577680343611248e-71	6.614716310807872e-60
31.0ms	-2.3166466639022814e-160	-3.794132325110929e-174

Samples

22.0ms	121×	1	valid
15.0ms	53×	2	valid
14.0ms	146×	0	valid

Compiler

Compiled 1 725 to 1 264 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow2: 9.0ms (22.6% of total)

adjust: 7.0ms (17.6% of total)

ival-mult: 5.0ms (12.5% of total)

ival-add: 5.0ms (12.5% of total)

ival-sub: 4.0ms (10% of total)

ival-sqrt: 4.0ms (10% of total)

ival-fabs: 3.0ms (7.5% of total)

ival-div: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

-40.8MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.322089514151449e-35	1.4634830038487587e-35

Samples

3.0ms	5×	2	valid
2.0ms	9×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 98 to 79 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (44.4% of total)

adjust: 1.0ms (22.2% of total)

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

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

ival-pow2: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.175526208831364e-108	7.066040788226316e-107

Compiler

Compiled 25 to 25 computations (0% saved)

simplify76.0ms (0.8%)

Memory

31.7MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	303
1	169	294
2	545	294
3	2878	292

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 r #s(literal -7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r)) (if (<=.f64 r #s(literal 6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 (/.f64 (+.f64 p r) r) (.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r)) (.f64 (.f64 (+.f64 p (+.f64 #s(literal 0 binary64) (fabs.f64 p))) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 q #s(literal 1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) #s(literal 0 binary64)) r)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 r #s(literal -7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r)) (if (<=.f64 r #s(literal 6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 (/.f64 (+.f64 p r) r) (.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r)) (.f64 (.f64 (+.f64 p (+.f64 #s(literal 0 binary64) (fabs.f64 p))) #s(literal 1 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 r #s(literal -7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)) r)) (if (<=.f64 r #s(literal 6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (.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 (* (+ (* (* (* q q) (/ p (pow r 3))) -2) (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ (+ (* (/ (* q q) r) -2) p) r)))) r) (fma.f64 (/.f64 (+.f64 p r) r) (.f64 (.f64 #s(literal -2 binary64) q) (/.f64 q r)) (+.f64 p (fabs.f64 p))))))))
(if (<=.f64 q #s(literal 1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) r) (.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- ( (/ (+ (* (sqrt r) (sqrt r)) (+ (fabs p) p)) r) 1/2) 1/2) #s(literal 0 binary64)) r)) #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))

soundness1.8s (18.4%)

Memory

-212.7MiB live, 1 096.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	479
0	94	479
1	374	475
2	3115	475
0	8197	465
0	620	3242
1	2044	3049
2	7882	3021
0	8181	2821
0	97	572
0	148	572
1	646	570
2	6041	570
0	9506	556
0	81	426
0	115	395
1	487	373
2	4151	373
0	8815	362
0	775	4711
1	2559	4476
0	8400	4285
0	771	4027
1	2512	3782
0	8796	3581

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

Compiler

Compiled 447 to 210 computations (53% saved)

preprocess49.0ms (0.5%)

Memory: -4.1MiB live, 135.1MiB allocated
Compiler: Compiled 1 282 to 488 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (22.8%)

explain358.0ms (3.8%)

preprocess225.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.8%)

localize336.0ms (3.5%)

series23.0ms (0.2%)

simplify189.0ms (2%)

rewrite195.0ms (2%)

eval136.0ms (1.4%)

prune25.0ms (0.3%)

simplify109.0ms (1.1%)

localize280.0ms (2.9%)

series57.0ms (0.6%)

simplify175.0ms (1.8%)

rewrite155.0ms (1.6%)

eval192.0ms (2%)

prune46.0ms (0.5%)

simplify170.0ms (1.8%)

localize539.0ms (5.6%)

series58.0ms (0.6%)

simplify162.0ms (1.7%)

rewrite210.0ms (2.2%)

eval176.0ms (1.8%)

prune46.0ms (0.5%)

simplify233.0ms (2.4%)

localize318.0ms (3.3%)

series44.0ms (0.5%)

simplify194.0ms (2%)

rewrite218.0ms (2.3%)

eval139.0ms (1.5%)

prune55.0ms (0.6%)

regimes155.0ms (1.6%)

regimes42.0ms (0.4%)

regimes19.0ms (0.2%)

regimes36.0ms (0.4%)

bsearch75.0ms (0.8%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

simplify76.0ms (0.8%)

soundness1.8s (18.4%)

preprocess49.0ms (0.5%)

end0.0ms (0%)

Profiling