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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample1.7s (26.7%)

Memory

24.9MiB live, 593.9MiB allocated

Samples

543.0ms	3 131×	1	valid
517.0ms	2 163×	2	valid
276.0ms	2 962×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-pow2: 207.0ms (19.5% of total)

adjust: 200.0ms (18.8% of total)

ival-add: 140.0ms (13.2% of total)

ival-mult: 138.0ms (13% of total)

ival-sub: 128.0ms (12% of total)

ival-sqrt: 108.0ms (10.2% of total)

ival-fabs: 70.0ms (6.6% of total)

ival-div: 54.0ms (5.1% of total)

exact: 11.0ms (1% of total)

ival-true: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain234.0ms (3.7%)

Memory

-27.7MiB live, 125.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
147	-	2	(-5.025182273737535e-295 -3.0244834122574056e-162 6.176777551831873e-232)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
132	-	0	-	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
1	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	0	-	`q`
0	-	0	-	`(-.f64 p r)`
0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	0	-	`(fabs.f64 p)`
0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	0	-	`(fabs.f64 r)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`r`
0	-	0	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	142	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	143
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	55
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	110
↳	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	overflow	1
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	55
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	132	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	3	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	3
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	69
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	20
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	69
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	202	0
-	0	54

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	54
1	126
2	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

52.14990234375

Average Time

0.20371055603027344

Samples

41.0ms	136×	2	valid
41.0ms	202×	1	valid
19.0ms	172×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

adjust: 13.0ms (18.7% of total)

ival-pow2: 13.0ms (18.7% of total)

ival-add: 11.0ms (15.8% of total)

ival-mult: 9.0ms (12.9% of total)

ival-sub: 8.0ms (11.5% of total)

ival-sqrt: 7.0ms (10.1% of total)

ival-fabs: 4.0ms (5.7% of total)

ival-div: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess204.0ms (3.2%)

Memory

2.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	1440	180
4	3448	180
5	5328	180
6	7340	180
0	18	20
0	31	20
1	45	20
2	80	20
3	170	20
4	345	20
5	791	20
6	1603	20
7	3084	20
8	3825	20
9	4113	20
10	4203	20
11	4207	20
12	4207	20
13	4337	20
14	4361	20
15	4361	20
0	4361	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 #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 (fabs.f64 r) (fabs.f64 p))))

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

24.3%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify154.0ms (2.4%)

Memory

-2.5MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	128	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 q #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	45	93
2	80	93
3	170	93
4	345	93
5	791	93
6	1603	93
7	3084	93
8	3825	93
9	4113	93
10	4203	93
11	4207	93
12	4207	93
13	4337	93
14	4361	93
15	4361	93
0	4361	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 #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 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.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

localize73.0ms (1.2%)

Memory

0.3MiB live, 25.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.010097509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	0.19541127488984078	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
accuracy	30.90460261940994	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	33.83260432599537	(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))

Samples

31.0ms	68×	2	valid
20.0ms	101×	1	valid
9.0ms	86×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

adjust: 6.0ms (18.1% of total)

ival-pow2: 6.0ms (18.1% of total)

ival-sub: 4.0ms (12.1% of total)

ival-mult: 4.0ms (12.1% of total)

ival-add: 4.0ms (12.1% of total)

ival-sqrt: 3.0ms (9.1% of total)

ival-div: 2.0ms (6% of total)

ival-fabs: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-0.8MiB live, 6.6MiB allocated

Counts

7 → 121

Calls

Call 1

Inputs
(pow.f64 q #s(literal 2 binary64))
(/.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)))))))
(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))))))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Outputs
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow 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))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 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)))))))
(* (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 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) 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)))
(+ (* 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))))))))))
(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 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))))
(pow r 2)
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 r)
(* 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)))))))
(* (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 (* -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 (/ (- (+ (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)))
(pow q 2)
(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)))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(- (+ r (+ (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)
(* 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 (+ 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)))))))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
q
(* -1 (* 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 (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (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
2.0ms	q	@	0	((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)))
2.0ms	p	@	0	((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)))
2.0ms	r	@	0	((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)))
2.0ms	q	@	inf	((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)))
2.0ms	r	@	-inf	((pow q 2) (/ 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)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)))

simplify147.0ms (2.3%)

Memory

-4.9MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	3149
1	1838	2974
2	5967	2946
0	8192	2746

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 118

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

rewrite149.0ms (2.3%)

Memory

11.7MiB live, 62.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	31	70
1	109	70
2	796	70
0	8636	66

Stop Event

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

Counts

7 → 296

Calls

Call 1

Inputs
(pow.f64 q #s(literal 2 binary64))
(/.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)))))))
(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))))))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

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

eval51.0ms (0.8%)

Memory: 0.7MiB live, 40.8MiB allocated
Compiler: Compiled 18 551 to 1 928 computations (89.6% saved)

prune34.0ms (0.5%)

Memory

-10.4MiB live, 25.4MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	392	21	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	21	414

Accuracy

60.2%

Counts

414 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	11.5%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
	20.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
	21.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
▶	33.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))))) 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))))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
▶	15.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
▶	18.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.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) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) 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) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 792 to 1 170 computations (34.7% saved)

simplify154.0ms (2.4%)

Memory

4.4MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 q) q)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.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	576	(.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.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	6912	(fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.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	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
cost-diff	0	(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)))))
cost-diff	0	(.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))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 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)))
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	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
cost-diff	0	(neg.f64 q)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	526
0	95	526
1	168	523
2	365	523
3	1082	517
4	2983	514
5	7665	512
0	8319	502

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (3.3%)

Memory

4.4MiB live, 81.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	9.551339559244774	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	18.499032621630203	(fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
accuracy	31.473556611754933	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	36.89161519212378	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
accuracy	18.75554577573737	#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)))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.633640680234834	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0	(fabs.f64 p)
accuracy	0.19541127488984078	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
accuracy	30.90460261940994	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
accuracy	41.99572148924624	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
accuracy	0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.2217024969714	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0	(neg.f64 q)
accuracy	42.19276824034518	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

99.0ms	165×	1	valid
64.0ms	78×	2	valid
4.0ms	12×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 1 013 to 115 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 31.0ms (24.8% of total)

adjust: 26.0ms (20.8% of total)

ival-add: 22.0ms (17.6% of total)

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

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

ival-pow2: 7.0ms (5.6% of total)

ival-sub: 7.0ms (5.6% of total)

ival-pow: 5.0ms (4% of total)

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

exact: 1.0ms (0.8% of total)

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

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

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

series45.0ms (0.7%)

Memory

-1.1MiB live, 17.9MiB allocated

Counts

22 → 249

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) q) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
7.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) q) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
5.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) q) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
5.0ms	q	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) q) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
3.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (/ 1 2) (* (/ 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)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) q) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))

simplify147.0ms (2.3%)

Memory

1.3MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1192	6552
1	3689	6334
0	8086	5975

Stop Event

1×	iter limit
1×	node limit

Counts

249 → 246

Calls

Call 1

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

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

rewrite170.0ms (2.7%)

Memory

-4.6MiB live, 61.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	410
0	95	410
1	386	403
2	3165	403
0	8830	390

Stop Event

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

Counts

22 → 437

Calls

Call 1

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

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

eval96.0ms (1.5%)

Memory: 7.1MiB live, 73.1MiB allocated
Compiler: Compiled 47 647 to 3 777 computations (92.1% saved)

prune54.0ms (0.9%)

Memory

-8.6MiB live, 53.1MiB allocated

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	688	29	717
Fresh	9	7	16
Picked	3	2	5
Done	0	0	0
Total	700	38	738

Accuracy

78.5%

Counts

738 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	22.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
▶	33.0%	(.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))
	28.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (neg.f64 q) q) (+.f64 #s(literal 0 binary64) q)))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
	25.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 q (.f64 r r)) (neg.f64 q) (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 q) q) p) (pow.f64 r #s(literal -3 binary64))))) r))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) (/.f64 q r)) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	25.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) (neg.f64 q)) q (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	18.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)))) (.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)))
	7.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))))) r))
	23.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
	22.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q (/.f64 q (.f64 r r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	18.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.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)))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) q))) (.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)))
	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.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)))
▶	16.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.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)))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (.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)))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.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)))
	17.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.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)))
▶	23.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	29.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
▶	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	16.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))) (*.f64 q q))) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) #s(literal -1/2 binary64)) r))
	32.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) r) p (.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))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 q q) (+.f64 p r)) (.f64 (.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)) r) r)) (.f64 r r))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r))))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (.f64 (.f64 q q) r) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))))))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) p (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r))) r)))

Compiler

Compiled 4 299 to 2 791 computations (35.1% saved)

simplify109.0ms (1.7%)

Memory

-0.6MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r))
cost-diff	0	(+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
cost-diff	0	(.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) q))
cost-diff	0	(fma.f64 #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.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)))))
cost-diff	0	(.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.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))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.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)))
cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))
cost-diff	0	(neg.f64 p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
cost-diff	960	(.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) 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	(fabs.f64 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	709
0	100	709
1	171	709
2	354	709
3	881	707
4	1954	703
5	5296	703
0	8182	694

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

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

localize277.0ms (4.4%)

Memory

1.1MiB live, 96.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	18.75554577573737	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
accuracy	21.278592190471578	(fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	28.004833262460124	(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))
accuracy	18.75554577573737	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.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)))
accuracy	21.76086603729888	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	27.75641547969179	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	33.68685762337768	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) q))
accuracy	7.397096726880738	(.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p)))
accuracy	17.609595992083715	(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p))
accuracy	27.806069824023677	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	32.70889074595459	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.557465494402	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
accuracy	0	(fabs.f64 p)
accuracy	0.19541127488984078	(.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))
accuracy	30.90460261940994	(-.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	41.99572148924624	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))

Samples

118.0ms	109×	2	valid
69.0ms	92×	1	valid
17.0ms	47×	0	valid
15.0ms	8×	3	valid

Compiler

Compiled 1 314 to 127 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 36.0ms (21.6% of total)

adjust: 32.0ms (19.2% of total)

ival-pow: 25.0ms (15% of total)

ival-add: 20.0ms (12% of total)

ival-div: 17.0ms (10.2% of total)

ival-sub: 15.0ms (9% of total)

ival-sqrt: 10.0ms (6% of total)

ival-pow2: 7.0ms (4.2% of total)

ival-fabs: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series26.0ms (0.4%)

Memory

5.8MiB live, 13.5MiB allocated

Counts

24 → 252

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

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

Calls

9 calls:

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

simplify146.0ms (2.3%)

Memory

0.8MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1206	6539
1	3775	6359
0	8188	5971

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 249

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

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

rewrite186.0ms (2.9%)

Memory

-2.7MiB live, 70.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	528
0	100	528
1	424	524
2	3498	524
0	9610	517

Stop Event

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

Counts

24 → 508

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

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

eval124.0ms (1.9%)

Memory: 8.7MiB live, 96.9MiB allocated
Compiler: Compiled 64 699 to 4 701 computations (92.7% saved)

prune54.0ms (0.8%)

Memory

-5.5MiB live, 56.4MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	916	12	928
Fresh	15	16	31
Picked	2	3	5
Done	0	2	2
Total	933	33	966

Accuracy

91.6%

Counts

966 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.0%	(.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))
	22.4%	(.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 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)) #s(literal 1/2 binary64))
	28.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (neg.f64 q) q) (+.f64 #s(literal 0 binary64) q)))
▶	25.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 q (.f64 r r)) (neg.f64 q) (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 q) q) p) (pow.f64 r #s(literal -3 binary64))))) r))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) (/.f64 q r)) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	7.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))))) r))
	22.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q (/.f64 q (.f64 r r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #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 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
	29.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	32.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ ( (* (pow (+ (* (* q q) 4) (* p p)) -1/2) r) p) (fabs r)) (-.f64 (fabs.f64 r) r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
✓	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	20.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (/.f64 (.f64 (neg.f64 q) q) (.f64 p p)))))
	20.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 #s(literal -1 binary64) q) (/.f64 #s(literal -1 binary64) (.f64 p p))) (*.f64 q q)))))
	7.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	14.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (+.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) r)) r))))
▶	33.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
	16.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))) (*.f64 q q))) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) #s(literal -1/2 binary64)) r))
▶	32.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) r) p (.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))))
▶	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r))))
	16.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (.f64 (.f64 q q) r) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))))))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p)))
	24.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (.f64 q q))))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
	11.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (.f64 (/.f64 q p) (/.f64 q p))) #s(literal 1/2 binary64)) p)))

Compiler

Compiled 3 575 to 2 342 computations (34.5% saved)

simplify138.0ms (2.2%)

Memory

0.9MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (neg.f64 q) q) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r)
cost-diff	1472	(fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	128	(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
cost-diff	704	(fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r))
cost-diff	0	(.f64 (.f64 q q) (+.f64 p r))
cost-diff	0	(neg.f64 (.f64 (.f64 q q) (+.f64 p r)))
cost-diff	0	#s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff	0	(neg.f64 p)
cost-diff	0	(.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
cost-diff	704	(neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	901
0	155	899
1	323	884
2	782	884
3	2141	874
4	5069	854
0	8279	812

Stop Event

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

Calls

Call 1

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

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

localize350.0ms (5.5%)

Memory

6.6MiB live, 130.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	8.359731870888117	(.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r)
accuracy	9.551339559244774	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	11.530798157564034	(fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
accuracy	36.89161519212378	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
accuracy	1.8164062500000002	(fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64)))
accuracy	2.4722748897404685	(fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r))
accuracy	18.75554577573737	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
accuracy	33.18273551556007	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))))
accuracy	8.829869453613686	(.f64 (.f64 q q) (+.f64 p r))
accuracy	11.557314428634585	#s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r)))
accuracy	19.159570347306353	(/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r))
accuracy	36.89161519212378	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.f64 r r))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	62.17660101953957	#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	0.17416000976844204	(fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	7.397096726880738	(.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
accuracy	13.170876027638219	(fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	32.70889074595459	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))

Samples

129.0ms	95×	2	valid
118.0ms	111×	1	valid
24.0ms	42×	0	valid
13.0ms	8×	3	valid

Compiler

Compiled 1 556 to 206 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 57.0ms (24.7% of total)

adjust: 53.0ms (23% of total)

ival-div: 40.0ms (17.3% of total)

ival-add: 38.0ms (16.5% of total)

ival-sub: 13.0ms (5.6% of total)

ival-sqrt: 9.0ms (3.9% of total)

ival-pow2: 7.0ms (3% of total)

ival-pow: 5.0ms (2.2% of total)

ival-neg: 5.0ms (2.2% of total)

ival-fabs: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series44.0ms (0.7%)

Memory

-0.3MiB live, 24.4MiB allocated

Counts

24 → 233

Calls

Call 1

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

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

Calls

9 calls:

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

simplify147.0ms (2.3%)

Memory

0.2MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	935	5149
1	2870	4964
0	8368	4682

Stop Event

1×	iter limit
1×	node limit

Counts

233 → 231

Calls

Call 1

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

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

rewrite177.0ms (2.8%)

Memory

5.0MiB live, 60.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	705
0	155	694
1	779	678
2	6685	678
0	8720	607

Stop Event

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

Counts

24 → 454

Calls

Call 1

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

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

eval106.0ms (1.7%)

Memory: 0.1MiB live, 70.6MiB allocated
Compiler: Compiled 54 075 to 3 804 computations (93% saved)

prune58.0ms (0.9%)

Memory

-0.7MiB live, 56.5MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	659	16	675
Fresh	10	13	23
Picked	4	1	5
Done	1	4	5
Total	674	34	708

Accuracy

95.4%

Counts

708 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) #s(approx (+ ( (/ (+ (+ (fabs p) p) (fabs r)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))))) r))
	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 q (.f64 r r)) (neg.f64 q) (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 q) q) p) (pow.f64 r #s(literal -3 binary64))))) r))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) (/.f64 q r)) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	26.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) q) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	22.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q (/.f64 q (.f64 r r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #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 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
	29.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) #s(literal 1/2 binary64)))
	32.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ ( (* (pow (+ (* (* q q) 4) (* p p)) -1/2) r) p) (fabs r)) (-.f64 (fabs.f64 r) r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
✓	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	7.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	24.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (*.f64 (/.f64 q p) q) (pow.f64 p #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64)))))))
	21.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 q (/.f64 (/.f64 q p) p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.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 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 q (/.f64 q (*.f64 p p)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64)))))))
	24.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) p (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) (.f64 (/.f64 q p) q))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) p))))))
	27.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 #s(approx (+ (* (/ q p) (/ q p)) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) 1/2) 1/2)) (*.f64 (/.f64 q p) (/.f64 q p)))))))
	14.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) #s(approx (neg (+ (* (/ q p) (/ q p)) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) 1/2) 1/2))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) #s(literal 1/2 binary64))) r)) r)))))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) #s(literal -1/2 binary64)) r))
	32.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 #s(approx (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	33.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) #s(approx (- (+ (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (fabs p)) (* q 2)) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)))) #s(literal 1/2 binary64)))
	21.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) #s(approx (- (+ (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (fabs p)) (* q 2)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) r) (/.f64 (.f64 p p) q) (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)))) (*.f64 (/.f64 q r) #s(literal 2 binary64))) r))) #s(literal 1/2 binary64)))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	34.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ p r)) (.f64 (.f64 q q) r))) (*.f64 r r))))
	22.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 (*.f64 (+.f64 r p) q) q) r))))
	16.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r)))))
	27.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (*.f64 q q) (neg.f64 r)))))
	22.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (.f64 (neg.f64 p) (fma.f64 (/.f64 q p) (/.f64 q r) (.f64 (/.f64 q r) (/.f64 q r)))))))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p)))
	24.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (.f64 q q))))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
	11.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (.f64 (/.f64 q p) (/.f64 q p))) #s(literal 1/2 binary64)) p)))

Compiler

Compiled 6 960 to 1 984 computations (71.5% saved)

regimes144.0ms (2.3%)

Memory

-9.6MiB live, 61.0MiB allocated

Counts

79 → 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 (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (*.f64 q q) (neg.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) #s(approx (- (+ (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (fabs p)) (* q 2)) (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 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)))) (*.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 (*.f64 (neg.f64 q) q) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ p r)) (.f64 (.f64 q q) r))) (*.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (/.f64 (.f64 (neg.f64 q) q) (.f64 p p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 r p) (*.f64 r r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 p r))) (*.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)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.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) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.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 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 #s(approx (+ (* (/ q p) (/ q p)) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) 1/2) 1/2)) (*.f64 (/.f64 q p) (/.f64 q p)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 (*.f64 (+.f64 r p) q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 #s(approx (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ ( (* (pow (+ (* (* q q) 4) (* p p)) -1/2) r) p) (fabs r)) (-.f64 (fabs.f64 r) r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) (fma.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) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 q (/.f64 q (*.f64 p p)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (.f64 (/.f64 q p) (/.f64 q p))) #s(literal 1/2 binary64)) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (.f64 (neg.f64 p) (fma.f64 (/.f64 q p) (/.f64 q r) (.f64 (/.f64 q r) (/.f64 q r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal -1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 q (/.f64 (/.f64 q p) p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 q q) (+.f64 p r)) (.f64 (.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)) r) r)) (.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (.f64 q q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fabs.f64 r) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (/.f64 (.f64 r 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 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 #s(literal -1 binary64) q) (/.f64 #s(literal -1 binary64) (.f64 p p))) (*.f64 q q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (+.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
(.f64 #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 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) #s(approx (+ ( (/ (+ (+ (fabs p) p) (fabs r)) 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 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) p (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) #s(approx (neg (+ (* (/ q p) (/ q p)) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) 1/2) 1/2))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 q p) (/.f64 q p) #s(literal 1/2 binary64))) r)) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (+.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) q) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 q) q) r) (/.f64 p (*.f64 r r)) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) #s(approx (- (+ (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (fabs p)) (* q 2)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) r) (/.f64 (.f64 p p) q) (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)))) (*.f64 (/.f64 q r) #s(literal 2 binary64))) r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 q) r) (/.f64 q r)) (/.f64 p r) (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 #s(literal -1/4 binary64) p) (fma.f64 (neg.f64 r) (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) #s(literal 1 binary64))))) 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))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (.f64 (.f64 (.f64 q q) r) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) (.f64 (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 r r))) (*.f64 q q))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (fma.f64 (*.f64 (/.f64 q p) q) (pow.f64 p #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal 1/2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) #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 (fma.f64 (neg.f64 q) (fma.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) q (/.f64 q (.f64 r r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 q (.f64 r r)) (neg.f64 q) (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 q) q) p) (pow.f64 r #s(literal -3 binary64))))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 p (pow.f64 r #s(literal 3 binary64))) (fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.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 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) r) p (fabs.f64 r)) (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (* q q) 4) (* p p))) (.f64 (neg.f64 p) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) q))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 p (pow.f64 r #s(literal 3 binary64))) (neg.f64 q)) q (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 q q) (pow.f64 r #s(literal 3 binary64)))) r) p (.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))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (- -1/2 (/ (+ ( (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p)) (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) p (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) (.f64 (/.f64 q p) q))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/2 binary64)) p))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (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 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal -1/2 binary64))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)))) (.f64 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)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (.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)))

Outputs

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

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

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

Calls

7 calls:

25.0ms	r
20.0ms	q
20.0ms	p
19.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
19.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
56.3%	4	`p`
51.1%	3	`r`
57.4%	3	`q`
46.2%	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)))))))`
46.2%	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))))))`
57.4%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.4%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes33.0ms (0.5%)

Memory

-0.2MiB live, 15.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	q
9.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
9.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
57.2%	3	`q`
57.2%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.2%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes22.0ms (0.4%)

Memory

4.5MiB live, 12.3MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.8%	2	`p`
49.7%	2	`q`
49.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
49.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes11.0ms (0.2%)

Memory

0.0MiB live, 7.9MiB 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 (+ ( (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (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 (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (*.f64 q q) p)))

Outputs

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

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

Calls

4 calls:

3.0ms	q
3.0ms	r
3.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
37.5%	2	`r`
47.9%	2	`q`
47.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes17.0ms (0.3%)

Memory

-3.7MiB live, 12.7MiB allocated

Accuracy

Total -20.9b remaining (-49.4%)

Threshold costs -20.9b (-49.4%)

Counts

6 → 1

Calls

Call 1

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

Calls

7 calls:

3.0ms	p
2.0ms	q
2.0ms	r
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

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

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3591668296706696e+48	3.275370492554048e+49
0.0ms	62.1033110970736	2308777.5341650774

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.423993202993747e+31	8.810964714435576e+31
0.0ms	1.085314747677225e-58	2.4577213929151317e-54

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.423993202993747e+31	8.810964714435576e+31

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3591668296706696e+48	3.275370492554048e+49

Compiler

Compiled 25 to 25 computations (0% saved)

simplify24.0ms (0.4%)

Memory

-4.1MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	537
1	106	537
2	115	537
3	123	537
4	126	537
5	127	537

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 100 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (.f64 q q)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 q q) (neg.f64 r))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 q q) (neg.f64 r))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (.f64 q q) p))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 100 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p)) (.f64 q q)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 100 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (.f64 q q) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) q) (/.f64 p q) (/.f64 #s(literal 1 binary64) p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 q q) (neg.f64 r))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))) (if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 (neg.f64 q) q) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 q q) (neg.f64 r))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 79999999999999997087170359721984 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (* (neg q) q) (/ p (pow r 3))) (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))) r) #s(approx (/ (neg (* (* q q) (+ p r))) (* r r)) (/.f64 (.f64 (neg.f64 q) q) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- -1/2 (/ (+ (* (- (+ (fabs r) (fabs p)) r) 1/2) (/ (* q q) p)) p))) (/.f64 (.f64 q q) p))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness444.0ms (7%)

Memory

7.7MiB live, 7.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1192	6552
1	3689	6334
0	8086	5975
0	598	3149
1	1838	2974
2	5967	2946
0	8192	2746
0	935	5149
1	2870	4964
0	8368	4682
0	1206	6539
1	3775	6359
0	8188	5971

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×	node limit

Compiler

Compiled 569 to 151 computations (73.5% saved)

preprocess87.0ms (1.4%)

Memory: 0.5MiB live, 30.9MiB allocated
Compiler: Compiled 1 834 to 462 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (26.7%)

explain234.0ms (3.7%)

preprocess204.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify154.0ms (2.4%)

localize73.0ms (1.2%)

series17.0ms (0.3%)

simplify147.0ms (2.3%)

rewrite149.0ms (2.3%)

eval51.0ms (0.8%)

prune34.0ms (0.5%)

simplify154.0ms (2.4%)

localize210.0ms (3.3%)

series45.0ms (0.7%)

simplify147.0ms (2.3%)

rewrite170.0ms (2.7%)

eval96.0ms (1.5%)

prune54.0ms (0.9%)

simplify109.0ms (1.7%)

localize277.0ms (4.4%)

series26.0ms (0.4%)

simplify146.0ms (2.3%)

rewrite186.0ms (2.9%)

eval124.0ms (1.9%)

prune54.0ms (0.8%)

simplify138.0ms (2.2%)

localize350.0ms (5.5%)

series44.0ms (0.7%)

simplify147.0ms (2.3%)

rewrite177.0ms (2.8%)

eval106.0ms (1.7%)

prune58.0ms (0.9%)

regimes144.0ms (2.3%)

regimes33.0ms (0.5%)

regimes22.0ms (0.4%)

regimes11.0ms (0.2%)

regimes17.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify24.0ms (0.4%)

soundness444.0ms (7%)

preprocess87.0ms (1.4%)

end0.0ms (0%)

Profiling