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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.5s (26.6%)

Memory

60.8MiB live, 4 668.0MiB allocated

Samples

846.0ms	2 173×	2	valid
627.0ms	3 134×	1	valid
355.0ms	2 949×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-pow2: 444.0ms (29.8% of total)

adjust: 263.0ms (17.6% of total)

ival-mult: 185.0ms (12.4% of total)

ival-add: 164.0ms (11% of total)

ival-sub: 143.0ms (9.6% of total)

ival-sqrt: 122.0ms (8.2% of total)

ival-fabs: 82.0ms (5.5% of total)

ival-div: 67.0ms (4.5% of total)

exact: 11.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

explain380.0ms (4%)

Memory

-26.1MiB live, 675.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
149	1	(5.147909507163399e+282 -1.0261577792282517e+104 -1.0428337882516513e+308)	0	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
112	42	(7.701133719382516e-33 -1.7594746023647703e+102 1.0028619973096111e-283)	2	(5.070995958521711e-218 -2.0608906334534163e-243 2.839543036670876e-260)	`(-.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	-	1	(5.147909507163399e+282 -1.0261577792282517e+104 -1.0428337882516513e+308)	`(.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	-	0	-	`q`
0	0	-	0	-	`(-.f64 p r)`
0	0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	0	-	0	-	`(fabs.f64 p)`
0	0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`p`
0	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	-	0	-	`(fabs.f64 r)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`r`
0	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
`-.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	152	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)))))`	oflow-rescue	145	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	145
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	66
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	104
↳	`(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	66
`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	5	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	5
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	57
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	19
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	57

Confusion

	Predicted +	Predicted -
+	193	0
-	20	43

Precision

0.9061032863849765

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	193	0	0
-	20	0	43

Precision?

0.9061032863849765

Recall?

1.0

Freqs

test

number	freq
0	43
1	124
2	89

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	176×	1	valid
45.0ms	124×	2	valid
25.0ms	212×	0	valid

Compiler

Compiled 414 to 134 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

adjust: 26.0ms (30.1% of total)

ival-pow2: 14.0ms (16.2% of total)

ival-sub: 10.0ms (11.6% of total)

ival-mult: 9.0ms (10.4% of total)

ival-add: 8.0ms (9.2% of total)

ival-sqrt: 7.0ms (8.1% of total)

ival-div: 6.0ms (6.9% of total)

ival-fabs: 5.0ms (5.8% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess208.0ms (2.2%)

Memory

9.8MiB live, 124.7MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

28.7%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify176.0ms (1.8%)

Memory

-14.6MiB live, 65.4MiB 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

localize96.0ms (1%)

Memory

9.6MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.20214114445967798	(.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	25.992155193534526	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	34.622962530831565	(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

42.0ms	106×	0	valid
22.0ms	88×	1	valid
19.0ms	62×	2	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

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

ival-sub: 7.0ms (18.9% of total)

ival-pow2: 7.0ms (18.9% of total)

adjust: 6.0ms (16.2% of total)

ival-mult: 4.0ms (10.8% of total)

ival-add: 4.0ms (10.8% of total)

ival-sqrt: 3.0ms (8.1% of total)

ival-div: 2.0ms (5.4% of total)

ival-fabs: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

-6.4MiB live, 37.3MiB allocated

Counts

7 → 129

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))))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))

Outputs
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(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 r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 2))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
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 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -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)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(+ (* 4 (pow q 2)) (pow p 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(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))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 2))
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
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 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1 (* -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 r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(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
20.0ms	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))))) (pow (- p r) 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))))) (pow (- p r) 2))
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))))) (pow (- p r) 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))))) (pow (- p r) 2))
2.0ms	p	@	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))))) (pow (- p r) 2))

simplify166.0ms (1.7%)

Memory

26.5MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3263
1	1907	3082
2	6170	3054
0	8467	2844

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 126

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

rewrite195.0ms (2.1%)

Memory

-13.1MiB live, 304.5MiB 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 → 363

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))))))
(pow.f64 (-.f64 p r) #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)))))
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(/.f64 (-.f64 (.f64 (.f64 p (-.f64 p r)) (.f64 p (-.f64 p r))) (.f64 (.f64 r (-.f64 r p)) (.f64 r (-.f64 r p)))) (-.f64 (.f64 p (-.f64 p r)) (.f64 r (-.f64 r p))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) p)) (.f64 (.f64 (-.f64 p r) (neg.f64 r)) (.f64 (-.f64 p r) (neg.f64 r)))) (-.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) (neg.f64 r))))
(/.f64 (+.f64 (pow.f64 (.f64 p (-.f64 p r)) #s(literal 3 binary64)) (pow.f64 (.f64 r (-.f64 r p)) #s(literal 3 binary64))) (fma.f64 (.f64 p (-.f64 p r)) (.f64 p (-.f64 p r)) (-.f64 (.f64 (.f64 r (-.f64 r p)) (.f64 r (-.f64 r p))) (.f64 (.f64 p (-.f64 p r)) (.f64 r (-.f64 r p))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 p r) p) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 p r) (neg.f64 r)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) p) (-.f64 (.f64 (.f64 (-.f64 p r) (neg.f64 r)) (.f64 (-.f64 p r) (neg.f64 r))) (.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) (neg.f64 r))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r))) (neg.f64 (fma.f64 r (+.f64 r p) (.f64 p p))))
(/.f64 (neg.f64 (*.f64 (+.f64 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 (+.f64 r p)))
(/.f64 (neg.f64 (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (neg.f64 (fma.f64 r (+.f64 r p) (.f64 p p))))
(/.f64 (neg.f64 (.f64 (+.f64 r p) (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) (neg.f64 (.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (.f64 p p)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 r p)) (-.f64 p r))) (neg.f64 (.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (+.f64 r p))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r)) (fma.f64 r (+.f64 r p) (.f64 p p)))
(/.f64 (*.f64 (+.f64 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 r p))
(/.f64 (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 r (+.f64 r p) (.f64 p p)))
(/.f64 (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (pow.f64 (+.f64 r p) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 r p) (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (.f64 p p))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 r p)) (-.f64 p r)) (.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (+.f64 r p)))
(/.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)))
(/.f64 (-.f64 p r) (/.f64 #s(literal 1 binary64) (-.f64 p r)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 r p) (*.f64 (+.f64 r p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (.f64 p p))) (.f64 (+.f64 r p) (.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) (+.f64 r p)) (.f64 (.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 r p)) (-.f64 p r))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 p r) #s(literal -1 binary64)) r (.f64 (-.f64 p r) p))
(fma.f64 (.f64 (neg.f64 r) (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (.f64 p (-.f64 p r)))
(fma.f64 (.f64 p (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (.f64 r (-.f64 r p)))
(fma.f64 (.f64 (neg.f64 r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal -1 binary64)) (*.f64 p (-.f64 p r)))
(fma.f64 (.f64 p (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal -1 binary64)) (*.f64 r (-.f64 r p)))
(fma.f64 (.f64 (neg.f64 r) (.f64 (+.f64 r p) (-.f64 p r))) (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (*.f64 p (-.f64 p r)))
(fma.f64 (.f64 p (.f64 (+.f64 r p) (-.f64 p r))) (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (*.f64 r (-.f64 r p)))
(fma.f64 (sqrt.f64 (-.f64 p r)) (.f64 (sqrt.f64 (-.f64 p r)) (neg.f64 r)) (.f64 (-.f64 p r) p))
(fma.f64 (sqrt.f64 (-.f64 p r)) (.f64 (sqrt.f64 (-.f64 p r)) p) (.f64 (-.f64 p r) (neg.f64 r)))
(fma.f64 #s(literal -1 binary64) (.f64 r (-.f64 p r)) (.f64 p (-.f64 p r)))
(fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) (neg.f64 r)) (*.f64 (-.f64 p r) p))
(fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) p) (*.f64 (-.f64 p r) (neg.f64 r)))
(fma.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal -1 binary64)) (neg.f64 r)) (*.f64 (-.f64 p r) p))
(fma.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal -1 binary64)) p) (*.f64 (-.f64 p r) (neg.f64 r)))
(fma.f64 (neg.f64 r) (-.f64 p r) (*.f64 p (-.f64 p r)))
(fma.f64 (-.f64 p r) (neg.f64 r) (*.f64 (-.f64 p r) p))
(fma.f64 (-.f64 p r) p (*.f64 (-.f64 p r) (neg.f64 r)))
(fma.f64 r (-.f64 r p) (*.f64 p (-.f64 p r)))
(fma.f64 p (-.f64 p r) (*.f64 r (-.f64 r p)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (.f64 p (-.f64 p r)) (.f64 r (-.f64 r p)))
(+.f64 (.f64 (-.f64 p r) (neg.f64 r)) (.f64 (-.f64 p r) p))
(+.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) (neg.f64 r)))
(+.f64 (.f64 r (-.f64 r p)) (.f64 p (-.f64 p r)))

eval68.0ms (0.7%)

Memory: 15.2MiB live, 173.4MiB allocated
Compiler: Compiled 21 329 to 2 372 computations (88.9% saved)

prune35.0ms (0.4%)

Memory

-23.8MiB live, 98.1MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	459	28	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	460	28	488

Accuracy

69.5%

Counts

488 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (+.f64 (pow.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (.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 1/2 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))))) #s(literal 1/2 binary64))) (.f64 (.f64 (fabs.f64 p) #s(literal 1/2 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))))) #s(literal 1/2 binary64))))))
	26.4%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 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))))
	13.3%	(/.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)))))
	17.3%	(/.f64 #s(literal 1 binary64) (/.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))) (.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))) #s(literal 1/2 binary64))))
	19.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)))))))
▶	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)))
	18.6%	(.f64 (/.f64 #s(literal 1 binary64) #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)))))))
	13.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)))
	6.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 r p) (-.f64 p r)) (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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))))) (.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) (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))))))))
	27.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	13.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.f64 (+.f64 (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))))))
	40.7%	(.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))))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.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 #s(literal 1 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)))))))))
	25.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	17.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
▶	14.0%	#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))
	40.9%	#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))
	21.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
▶	20.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	18.3%	#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))
	23.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	24.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	12.6%	#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))))
	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))
	4.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	42.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 424 to 1 446 computations (40.3% saved)

simplify138.0ms (1.5%)

Memory

-10.5MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)))
cost-diff	192	(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))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	6464	(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 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 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
cost-diff	0	(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	#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))
cost-diff	704	(*.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)
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	55	502
0	92	498
1	160	496
2	312	496
3	884	496
4	2877	491
5	6158	491
0	8173	486

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (2.4%)

Memory

23.5MiB live, 495.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.20228764664853613	(/.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))))))
accuracy	15.20961193533677	(fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
accuracy	30.188863688984682	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	32.995040541870075	(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))
accuracy	11.538452274060774	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	16.935753633073666	#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	25.088405173318247	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	25.35697537461627	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	2.212571220958358	(*.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)
accuracy	12.550179305084296	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	22.07802897268027	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	37.92743582270406	#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))
accuracy	0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	53.714475453123434	#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	28.67836852022358	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

96.0ms	146×	1	valid
56.0ms	64×	2	valid
26.0ms	32×	2	exit
3.0ms	10×	0	valid
2.0ms	1×	3	valid
1.0ms	3×	1	exit

Compiler

Compiled 1 003 to 112 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 36.0ms (25.6% of total)

adjust: 32.0ms (22.8% of total)

ival-add: 27.0ms (19.2% of total)

ival-sqrt: 13.0ms (9.3% of total)

ival-div: 12.0ms (8.5% of total)

ival-sub: 7.0ms (5% of total)

ival-pow2: 7.0ms (5% of total)

ival-neg: 3.0ms (2.1% of total)

ival-fabs: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series119.0ms (1.3%)

Memory

-18.3MiB live, 191.4MiB allocated

Counts

21 → 307

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	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) (* (+ (* (/ (+ (+ (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)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) 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)))) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))))
16.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (+ (* (/ (+ (+ (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)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) 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)))) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))))
12.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (+ (* (/ (+ (+ (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)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) 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)))) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))))
9.0ms	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) (* (+ (* (/ (+ (+ (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)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) 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)))) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))))
8.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (+ (* (/ (+ (+ (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)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (+ (fabs r) p) (fabs p)) 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)))) (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (+ (+ (fabs r) p) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))))

simplify220.0ms (2.3%)

Memory

11.8MiB live, 358.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1993	17701
1	6499	17370
0	8213	16438

Stop Event

1×	iter limit
1×	node limit

Counts

307 → 304

Calls

Call 1

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

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

rewrite192.0ms (2%)

Memory

29.7MiB live, 300.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	389
0	92	383
1	387	349
2	2996	349
0	8771	349

Stop Event

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

Counts

21 → 523

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

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

eval143.0ms (1.5%)

Memory: 9.5MiB live, 265.7MiB allocated
Compiler: Compiled 59 408 to 4 828 computations (91.9% saved)

prune53.0ms (0.6%)

Memory

7.5MiB live, 130.5MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	807	20	827
Fresh	15	8	23
Picked	3	2	5
Done	0	0	0
Total	825	30	855

Accuracy

84.7%

Counts

855 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (+.f64 (pow.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (.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 1/2 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))))) #s(literal 1/2 binary64))) (.f64 (.f64 (fabs.f64 p) #s(literal 1/2 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))))) #s(literal 1/2 binary64))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 q q)))) (/.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)))
	24.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (.f64 #s(literal -4 binary64) (.f64 q q))) (/.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)))
	25.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	33.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p)) (+.f64 (fma.f64 (neg.f64 p) (fma.f64 (/.f64 (.f64 (.f64 (.f64 q q) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (.f64 #s(literal -2 binary64) r) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)))) (fabs.f64 p)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)))))))
▶	40.9%	#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))
▶	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	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 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) #s(literal 1/2 binary64)))
▶	18.3%	#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))
	19.5%	#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)))
	20.2%	#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)))
	19.9%	#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 #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)))
	23.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	24.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	28.3%	#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))))
▶	12.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)) (/.f64 #s(literal 1/2 binary64) r)))) r))
	4.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #s(literal -1/2 binary64)) r))
	40.8%	#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)))
	40.7%	#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 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	5.1%	#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))))) (.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))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	42.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	28.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	5.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (fma.f64 r (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p) #s(literal 1/2 binary64)) p)))
	25.0%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (fma.f64 (/.f64 (.f64 q q) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r))) #s(literal 4 binary64) (/.f64 (.f64 p p) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r))))) #s(literal 1/2 binary64)))
	24.8%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64)))

Compiler

Compiled 3 211 to 1 983 computations (38.2% saved)

simplify169.0ms (1.8%)

Memory

4.2MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)) (/.f64 #s(literal 1/2 binary64) r)))) r))
cost-diff	128	(neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
cost-diff	704	(fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	1856	(*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)) (/.f64 #s(literal 1/2 binary64) r)))
cost-diff	0	(/.f64 q (*.f64 r r))
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)))))) (.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))
cost-diff	1408	(.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)
cost-diff	0	(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
cost-diff	0	(fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
cost-diff	0	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))
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 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
cost-diff	896	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	566
0	100	556
1	171	556
2	338	549
3	1073	541
4	2917	508
5	7107	506
0	8435	493

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

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

localize342.0ms (3.6%)

Memory

26.9MiB live, 436.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.212571220958358	(.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)) (/.f64 #s(literal 1/2 binary64) r)))) r)
accuracy	2.2190209340427374	(/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)
accuracy	10.513658881279481	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)) (/.f64 #s(literal 1/2 binary64) r)))) r))
accuracy	12.594694529152846	(fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	1.9165153724205013	(/.f64 q (*.f64 r r))
accuracy	2.6156631020262546	(.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)
accuracy	7.184022403865699	#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))
accuracy	12.550179305084296	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	0	(fabs.f64 p)
accuracy	2.212571220958358	(*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)
accuracy	10.513658881279481	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
accuracy	15.038407385496305	(fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	15.337962202613054	#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	0.00390625	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	2.587113261615128	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
accuracy	8.883339205301956	#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))

Samples

112.0ms	189×	1	exit
41.0ms	38×	1	valid
23.0ms	22×	2	valid
2.0ms	6×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 1 034 to 122 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

adjust: 43.0ms (36.8% of total)

ival-mult: 23.0ms (19.7% of total)

ival-add: 17.0ms (14.6% of total)

ival-div: 15.0ms (12.8% of total)

ival-pow2: 5.0ms (4.3% of total)

ival-sub: 4.0ms (3.4% of total)

ival-neg: 3.0ms (2.6% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-fabs: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series147.0ms (1.5%)

Memory

-14.7MiB live, 86.5MiB allocated

Counts

22 → 102

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
105.0ms	r	@	-inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (+ (+ (fabs p) p) (fabs r)) (* (+ (* (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 (* r r)) (* (neg p) (- (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ 1/2 r))) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r))
9.0ms	r	@	inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (+ (+ (fabs p) p) (fabs r)) (* (+ (* (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 (* r r)) (* (neg p) (- (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ 1/2 r))) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r))
7.0ms	p	@	inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (+ (+ (fabs p) p) (fabs r)) (* (+ (* (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 (* r r)) (* (neg p) (- (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ 1/2 r))) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r))
6.0ms	p	@	0	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (+ (+ (fabs p) p) (fabs r)) (* (+ (* (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 (* r r)) (* (neg p) (- (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ 1/2 r))) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r))
5.0ms	p	@	-inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (+ (+ (fabs p) p) (fabs r)) (* (+ (* (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 (* r r)) (* (neg p) (- (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ 1/2 r))) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (neg (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r))

simplify151.0ms (1.6%)

Memory

-0.1MiB live, 190.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	1959
1	1082	1878
2	3231	1838
0	8154	1729

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

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

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

rewrite167.0ms (1.8%)

Memory

26.3MiB live, 252.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	401
0	100	401
1	409	401
2	3558	395
0	8338	390

Stop Event

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

Counts

22 → 321

Calls

Call 1

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

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

eval86.0ms (0.9%)

Memory: -32.6MiB live, 132.0MiB allocated
Compiler: Compiled 22 793 to 2 335 computations (89.8% saved)

prune94.0ms (1%)

Memory

-32.8MiB live, 162.1MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	417	7	424
Fresh	5	18	23
Picked	1	4	5
Done	0	2	2
Total	423	31	454

Accuracy

88.2%

Counts

454 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (+.f64 (pow.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (.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 1/2 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))))) #s(literal 1/2 binary64))) (.f64 (.f64 (fabs.f64 p) #s(literal 1/2 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))))) #s(literal 1/2 binary64))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 q q)))) (/.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)))
	24.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (.f64 #s(literal -4 binary64) (.f64 q q))) (/.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)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 (fma.f64 p p (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 p) p) #s(literal -1 binary64)) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
✓	40.9%	#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))
✓	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	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 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) #s(literal 1/2 binary64)))
✓	18.3%	#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))
▶	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	19.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (exp.f64 (-.f64 (log.f64 q) (.f64 (log.f64 r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	19.5%	#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)))
	20.2%	#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)))
	19.9%	#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 #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)))
	23.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	24.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	28.3%	#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))))
	4.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #s(literal -1/2 binary64)) r))
▶	40.8%	#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)))
▶	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))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	42.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	28.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	5.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (fma.f64 r (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p) #s(literal 1/2 binary64)) p)))
▶	41.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	23.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (fma.f64 (neg.f64 q) q (.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)))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (neg.f64 q) (/.f64 q r))))
	24.8%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64)))

Compiler

Compiled 2 888 to 1 885 computations (34.7% saved)

simplify132.0ms (1.4%)

Memory

-3.4MiB live, 234.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) (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	448	(.f64 (neg.f64 q) (pow.f64 (.f64 (neg.f64 r) r) #s(literal -1 binary64)))
cost-diff	704	(.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) (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	5504	(pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 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	(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	(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) (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	832	(*.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)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
cost-diff	0	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	650
0	114	650
1	226	647
2	513	638
3	1476	633
4	4595	617
0	8176	585

Stop Event

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

Calls

Call 1

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

localize293.0ms (3.1%)

Memory

27.0MiB live, 497.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.4318778058477948	(.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) (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	1.8969157139556077	(.f64 (neg.f64 q) (pow.f64 (.f64 (neg.f64 r) r) #s(literal -1 binary64)))
accuracy	13.720213959296649	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) (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	15.268375958939277	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	0.01953125	(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	0.20312500000000003	(fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64)))
accuracy	0.4394706078992223	#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	9.714297535797183	#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	0	(fabs.f64 p)
accuracy	3.9474488695440892	(*.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)))
accuracy	11.09150200006766	(fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy	11.51318238344903	#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))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	17.297785888031527	#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	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
accuracy	9.655009907483697	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Samples

149.0ms	184×	1	exit
43.0ms	28×	1	valid
39.0ms	32×	2	valid
4.0ms	3×	3	valid
4.0ms	9×	0	valid

Compiler

Compiled 1 154 to 153 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

adjust: 60.0ms (29.5% of total)

ival-mult: 47.0ms (23.1% of total)

ival-div: 44.0ms (21.6% of total)

ival-add: 21.0ms (10.3% of total)

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

ival-sub: 6.0ms (2.9% of total)

ival-pow2: 6.0ms (2.9% of total)

ival-sqrt: 6.0ms (2.9% of total)

ival-neg: 3.0ms (1.5% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series52.0ms (0.5%)

Memory

8.9MiB live, 85.0MiB allocated

Counts

23 → 161

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (+ (fabs p) (fabs r))) q)
(+ (fabs p) (fabs r))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(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)))))))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* 1/2 p) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(fabs p)
(- (+ (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)))
(+ p (+ (fabs p) (fabs r)))
(* -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))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -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 (+ 1/2 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* 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))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) 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)))
(* (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 (- (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) 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 (+ (* -1/2 (/ r (* p q))) (* 1/4 (/ 1 q)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) 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))))))))))
(* 1/2 r)
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(+ (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 (pow r 2))
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) r)
(/ q (pow r 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 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* 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))))
(* 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))
(* (* 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) (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 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ (* -1 (/ (+ (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 (* 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 (* 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)))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(/ (* 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 (/ (pow q 2) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ 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)
(* -1 q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(+ (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) (- (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)) (/ 1 r)))
(* 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)))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(+ (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
13.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (neg 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) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (+ (* (+ (* (/ 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) (pow (* (neg r) r) -1) (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (* (neg q) (pow (* (neg r) r) -1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs 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 r) p) (fabs p)))
6.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (neg 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) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (+ (* (+ (* (/ 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) (pow (* (neg r) r) -1) (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (* (neg q) (pow (* (neg r) r) -1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs 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 r) p) (fabs p)))
5.0ms	r	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (neg 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) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (+ (* (+ (* (/ 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) (pow (* (neg r) r) -1) (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (* (neg q) (pow (* (neg r) r) -1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs 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 r) p) (fabs p)))
5.0ms	r	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (neg 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) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (+ (* (+ (* (/ 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) (pow (* (neg r) r) -1) (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (* (neg q) (pow (* (neg r) r) -1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs 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 r) p) (fabs p)))
5.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) (neg q)) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (neg 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) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (+ (* (+ (* (/ 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) (pow (* (neg r) r) -1) (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (* (neg q) (pow (* (neg r) r) -1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs 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 r) p) (fabs p)))

simplify213.0ms (2.2%)

Memory

-3.3MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	3585
1	2272	3463
2	7292	3435
0	8011	3211

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 159

Calls

Call 1

Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (+ (fabs p) (fabs r))) q)
(+ (fabs p) (fabs r))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(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)))))))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* 1/2 p) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(fabs p)
(- (+ (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)))
(+ p (+ (fabs p) (fabs r)))
(* -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))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -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 (+ 1/2 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* 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))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) 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)))
(* (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 (- (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) 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 (+ (* -1/2 (/ r (* p q))) (* 1/4 (/ 1 q)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) 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))))))))))
(* 1/2 r)
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(+ (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 (pow r 2))
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) r)
(/ q (pow r 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 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* 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))))
(* 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))
(* (* 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) (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 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ (* -1 (/ (+ (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 (* 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 (* 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)))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(/ (* 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 (/ (pow q 2) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ 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)
(* -1 q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(+ (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) (- (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)) (/ 1 r)))
(* 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)))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(+ (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
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal 1/2 binary64) r)) (.f64 (.f64 #s(literal -1/4 binary64) p) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 r p)) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(- (* 1/2 (+ (fabs p) (fabs r))) q)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(* -1 p)
(neg.f64 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 #s(literal -1/2 binary64) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) p))
(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))
(fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p)))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(fma.f64 #s(literal -2 binary64) q (fma.f64 (*.f64 (/.f64 r q) #s(literal 1/2 binary64)) p (+.f64 (fabs.f64 r) (fabs.f64 p))))
(- (+ (fabs p) (+ (fabs r) (* p (+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))))) (* 2 q))
(fma.f64 #s(literal -2 binary64) q (fma.f64 (fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(*.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (.f64 #s(literal 1/4 binary64) p) (/.f64 r q) (.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 p q) (.f64 #s(literal 1/4 binary64) (/.f64 r q))) p (.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
(+ (* 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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) p) (/.f64 r (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 #s(literal 1/4 binary64) (/.f64 r q))) p (*.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) r)
(+ (* 1/2 p) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) r (.f64 #s(literal 1/2 binary64) p))
(fabs p)
(fabs.f64 p)
(- (+ (fabs p) (+ (fabs r) (* p (+ (* 1/2 (/ r q)) (* p (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(fma.f64 #s(literal -2 binary64) q (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (/.f64 r (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/2 binary64))) p (+.f64 (fabs.f64 r) (fabs.f64 p))))
(* 1/2 (/ r q))
(*.f64 (/.f64 r q) #s(literal 1/2 binary64))
(+ (* -1/4 (/ p q)) (* 1/2 (/ r q)))
(fma.f64 (/.f64 r q) #s(literal 1/2 binary64) (*.f64 (/.f64 p q) #s(literal -1/4 binary64)))
(+ p (+ (fabs p) (fabs r)))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 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 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 q p) (/.f64 q p))) 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 (.f64 (neg.f64 q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 q p) (/.f64 q p)))) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
(*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64))
(* -1/4 (/ (pow p 2) q))
(.f64 (.f64 p (/.f64 p q)) #s(literal -1/4 binary64))
(* (pow p 2) (- (* 1/2 (/ r (* p q))) (* 1/4 (/ 1 q))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 r p) (/.f64 #s(literal -1/4 binary64) q)) (.f64 p p))
(* (pow p 2) (- (+ (* 1/2 (/ r (* p q))) (/ (fabs r) (pow p 2))) (* 1/4 (/ 1 q))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 r p) (/.f64 (/.f64 (fabs.f64 r) p) p)) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p))
(* (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))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 r p) (/.f64 (/.f64 (fabs.f64 p) p) p)) (-.f64 (/.f64 (/.f64 (fabs.f64 r) p) p) (fma.f64 (/.f64 q (.f64 p p)) #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) q)))) (*.f64 p p))
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs 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 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2))
(.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 q p) (/.f64 q p))) p)
(* 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))
(.f64 (fma.f64 (.f64 (neg.f64 q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 q p) (/.f64 q p)))) p)
(* p (+ 1/2 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) (/.f64 r p) #s(literal 1/2 binary64)) p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(fma.f64 (+.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (/.f64 r p)) p (neg.f64 p))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))) 1))
(fma.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 r p))) p (neg.f64 p))
(* 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))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) (/.f64 r p))) (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (.f64 q q) p) #s(literal 1 binary64))) p)
(* -1/4 (/ p q))
(*.f64 (/.f64 p q) #s(literal -1/4 binary64))
(* p (- (* 1/2 (/ r (* p q))) (* 1/4 (/ 1 q))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) q) (/.f64 r p) (/.f64 #s(literal -1/4 binary64) q)) p)
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) p p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(*.f64 (neg.f64 p) (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 #s(literal -1/2 binary64) p) #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 (.f64 #s(literal 1 binary64) (fma.f64 q q (.f64 r (/.f64 (.f64 q q) p)))) p)) p)))
(* (pow p 2) (- (* -1 (/ (+ (* -1 (/ (fabs r) p)) (* -1/2 (/ r q))) p)) (* 1/4 (/ 1 q))))
(.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (fma.f64 (/.f64 r q) #s(literal -1/2 binary64) (/.f64 (fabs.f64 r) (neg.f64 p))) p)) (.f64 p p))
(* (pow p 2) (- (* -1 (/ (+ (* -1 (/ (- (+ (fabs p) (fabs r)) (* 2 q)) p)) (* -1/2 (/ r q))) p)) (* 1/4 (/ 1 q))))
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(/ (* p (+ (* -1/4 p) (* 1/2 r))) q)
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) q) p)
(/ (+ (* p (+ (* -1/4 p) (* 1/2 r))) (* q (fabs r))) q)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) p (.f64 q (fabs.f64 r))) q)
(/ (+ (* p (+ (* -1/4 p) (* 1/2 r))) (* q (+ (fabs p) (fabs r)))) q)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) p (.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)
(/ (+ (* p (+ (* -1/4 p) (* 1/2 r))) (* q (+ (fabs p) (+ (fabs r) (* -2 q))))) q)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) p (.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) q)) q)
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p)) (.f64 q q) (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)) #s(literal 1/2 binary64))
(+ (* 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)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))) q) q (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) (.f64 q q) (.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(+ (* 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))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 q q)) (fma.f64 (/.f64 r (pow.f64 p #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 5 binary64)))) (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))) (.f64 q q) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64))) (.f64 q q) (.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(+ (* -1 (/ (pow q 2) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(fma.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (/.f64 (*.f64 (neg.f64 q) q) r))
(- (+ r (+ (fabs p) (fabs r))) p)
(-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ r (pow p 2))) (* 2 (/ 1 p))))))) p)
(+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p)) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r 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)
(+.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 6 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64)))) q) q (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p))) (.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r 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)
(+.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (pow.f64 p #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 5 binary64)))) (.f64 q q) (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 6 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 3 binary64))))) (.f64 q q) (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 r p) (/.f64 #s(literal -2 binary64) p))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p))
(/ (+ (* -1/4 p) (* 1/2 r)) q)
(/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q)
(* -1 q)
(neg.f64 q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/128 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)))) q)
(+ (fabs r) (/ (* p (+ (* -1/4 p) (* 1/2 r))) q))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q) p (fabs.f64 r))
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* 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 (- (+ (/ (fabs p) q) (+ (/ (fabs r) q) (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2)))) 2))
(.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) q) q) p (/.f64 (fabs.f64 r) q)) (-.f64 (/.f64 (fabs.f64 p) q) #s(literal 2 binary64))) q)
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) (pow q 2)))) 1))
(.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) q) q) p (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
(* 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))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) q) q) p (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) r) #s(literal -1/16 binary64))) (pow.f64 q #s(literal 4 binary64)))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal -1 binary64)) q)
(* (pow q 2) (- (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)) (/ 1 r)))
(.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 r q) q) (/.f64 #s(literal -1 binary64) r)) (.f64 q q))
(* 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 (/.f64 (.f64 r p) q) q) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (fma.f64 (/.f64 (*.f64 p (/.f64 p q)) q) #s(literal 1/4 binary64) #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 (pow.f64 p #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 r p) q) q) #s(literal 1/2 binary64) (+.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 (/.f64 p q)) q) #s(literal 1/4 binary64) #s(literal 2 binary64)))) q)
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) 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 #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)) (neg.f64 q))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #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)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (.f64 #s(literal 1/2 binary64) r)) q) p) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) 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 (-.f64 #s(literal -1 binary64) (/.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 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) r) #s(literal -1/16 binary64))) q) q))) q)) q)) (neg.f64 q))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(* -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 (/ (- (* 1/2 (* p r)) (* 1/4 (pow p 2))) q)))) q)) 2)))
(.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q) p)) q)) (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 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) p (/.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) r) #s(literal -1/16 binary64))) q) q)) (.f64 (.f64 p p) #s(literal 1/4 binary64))) q)) q)) (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))

rewrite183.0ms (1.9%)

Memory

6.3MiB live, 287.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	507
0	114	507
1	527	493
2	4531	491
0	8198	428

Stop Event

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

Counts

23 → 312

Calls

Call 1

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

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

eval82.0ms (0.9%)

Memory: -0.2MiB live, 226.1MiB allocated
Compiler: Compiled 33 940 to 2 800 computations (91.8% saved)

prune79.0ms (0.8%)

Memory

2.1MiB live, 125.1MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	493	9	502
Fresh	1	19	20
Picked	2	3	5
Done	0	6	6
Total	496	37	533

Accuracy

88.2%

Counts

533 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (+.f64 (pow.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (.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 1/2 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))))) #s(literal 1/2 binary64))) (.f64 (.f64 (fabs.f64 p) #s(literal 1/2 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))))) #s(literal 1/2 binary64))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 q q)))) (/.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)))
	24.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (.f64 #s(literal -4 binary64) (.f64 q q))) (/.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)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 (fma.f64 p p (.f64 (neg.f64 p) p)) (pow.f64 (-.f64 (fabs.f64 p) p) #s(literal -1 binary64)) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
✓	40.9%	#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))
✓	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	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 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (+.f64 (fabs.f64 p) (fabs.f64 r))))) #s(literal 1/2 binary64)))
✓	18.3%	#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))
	18.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(approx (pow (* (neg r) r) -1) (/.f64 #s(literal -1 binary64) (*.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))
	19.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (exp.f64 (-.f64 (log.f64 q) (.f64 (log.f64 r) #s(literal 2 binary64)))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	19.5%	#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)))
	20.2%	#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)))
	19.9%	#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 #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)))
	10.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 p p (.f64 #s(literal 0 binary64) p)))) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	23.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	24.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
✓	28.3%	#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))))
	10.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2) (*.f64 (+.f64 (/.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) #s(literal -1/2 binary64)) r)) r))))
	4.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) #s(literal -1/2 binary64)) r))
	41.4%	#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 #s(approx (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (.f64 (.f64 p (/.f64 p q)) #s(literal -1/4 binary64))) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	27.7%	#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))))) #s(approx (- (+ (+ (* (+ (* (/ r q) 1/2) (* (/ p q) -1/4)) p) (fabs r)) (fabs p)) (* q 2)) (.f64 (fma.f64 (/.f64 q r) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) r) (.f64 p (/.f64 p q)) (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r))))) 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))
✓	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	42.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))))
	28.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	5.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (fma.f64 r (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p) #s(literal 1/2 binary64)) p)))
✓	41.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	29.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (neg.f64 q) (/.f64 q r))))
	27.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (*.f64 (neg.f64 q) q) r)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))))
	11.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))))
	24.8%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (.f64 #s(literal -2 binary64) p)) #s(literal 1/2 binary64)))

Compiler

Compiled 5 326 to 1 774 computations (66.7% saved)

regimes152.0ms (1.6%)

Memory

-23.3MiB live, 384.7MiB allocated

Counts

65 → 4

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

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

Calls

7 calls:

36.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
22.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
19.0ms	q
19.0ms	r
17.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
55.7%	5	`p`
61.8%	5	`r`
69.4%	4	`q`
54.2%	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)))))))`
54.2%	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))))))`
67.7%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
67.7%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes17.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

51 → 4

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
69.3%	4	`q`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.3%)

Memory

7.1MiB live, 49.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

12.0ms	(pow.f64 q #s(literal 2 binary64))
9.0ms	q
8.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
63.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.8%	2	`(pow.f64 q #s(literal 2 binary64))`
65.5%	3	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes49.0ms (0.5%)

Memory

-19.4MiB live, 18.7MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

36.0ms	(pow.f64 q #s(literal 2 binary64))
6.0ms	q
5.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
63.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.8%	2	`(pow.f64 q #s(literal 2 binary64))`
63.8%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes19.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

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

Outputs

#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (*.f64 (neg.f64 q) (/.f64 q 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
4.0ms	r
4.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.3%	2	`r`
56.3%	2	`q`
56.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
56.3%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes28.0ms (0.3%)

Memory

2.6MiB live, 42.3MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

19.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	q
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.9%	2	`q`
55.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
55.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes33.0ms (0.4%)

Memory

-12.9MiB live, 63.6MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

8.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
5.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	q
4.0ms	p
4.0ms	r

Results

Accuracy	Segments	Branch
42.4%	1	`p`
45.9%	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)))))))`
45.9%	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))))))`
45.1%	2	`r`
50.5%	2	`q`
50.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
50.5%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.8%	3	`q`
48.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
48.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes11.0ms (0.1%)

Memory

-11.0MiB live, 27.2MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
48.9%	2	`(pow.f64 q #s(literal 2 binary64))`
48.9%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes217.0ms (2.3%)

Memory

-8.4MiB live, 27.9MiB allocated

Accuracy

Total -26.2b remaining (-70.9%)

Threshold costs -26.2b (-70.9%)

Counts

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

Calls

6 calls:

203.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.0ms	r
3.0ms	q
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
42.4%	1	`r`
42.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
42.4%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
42.4%	1	`q`
42.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
42.4%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 50 to 51 computations (-2% saved)

bsearch117.0ms (1.2%)

Memory

9.1MiB live, 103.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
46.0ms	2.9832547248633006e+132	1.280479318637413e+134
23.0ms	1.4694365986178537e-55	2.1093129827913133e-54
40.0ms	7.659108386630738e-224	5.991893381765605e-223

Samples

61.0ms	112×	1	valid
23.0ms	90×	2	valid
10.0ms	102×	0	valid

Compiler

Compiled 1 690 to 1 231 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-pow2: 23.0ms (40.6% of total)

adjust: 8.0ms (14.1% of total)

ival-sub: 5.0ms (8.8% of total)

ival-mult: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

ival-sqrt: 4.0ms (7.1% of total)

ival-fabs: 3.0ms (5.3% of total)

ival-div: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

-27.9MiB live, 8.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.9832547248633006e+132	1.280479318637413e+134
1.0ms	1.4694365986178537e-55	2.1093129827913133e-54
3.0ms	7.659108386630738e-224	5.991893381765605e-223

Compiler

Compiled 1 885 to 1 283 computations (31.9% saved)

bsearch34.0ms (0.4%)

Memory

30.3MiB live, 67.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.1093129827913133e-54	1.5979718627924507e-52
1.0ms	7.659108386630738e-224	5.991893381765605e-223

Samples

15.0ms	48×	2	valid
6.0ms	34×	1	valid
3.0ms	30×	0	valid

Compiler

Compiled 1 091 to 826 computations (24.3% saved)

Precisions

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

ival-pow2: 6.0ms (30.6% of total)

adjust: 4.0ms (20.4% of total)

ival-sub: 2.0ms (10.2% of total)

ival-sqrt: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

ival-mult: 2.0ms (10.2% of total)

ival-div: 1.0ms (5.1% of total)

ival-fabs: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1093129827913133e-54	1.5979718627924507e-52

Compiler

Compiled 557 to 430 computations (22.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.030217382302816e+69	5.2791860436745745e+72

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.030217382302816e+69	5.2791860436745745e+72

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4564038773164677e-201	1.0639376225853246e-187

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch75.0ms (0.8%)

Memory

3.2MiB live, 120.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.1723471120335058e-102	3.8162859920562395e-101
38.0ms	3.427318245964654e-272	8.33315699675744e-271

Samples

36.0ms	118×	2	valid
15.0ms	83×	1	valid
6.0ms	23×	0	valid

Compiler

Compiled 1 222 to 906 computations (25.9% saved)

Precisions

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

adjust: 10.0ms (22.8% of total)

ival-sub: 9.0ms (20.5% of total)

ival-pow2: 7.0ms (15.9% of total)

ival-mult: 5.0ms (11.4% of total)

ival-add: 5.0ms (11.4% of total)

ival-sqrt: 4.0ms (9.1% of total)

ival-div: 2.0ms (4.6% of total)

ival-fabs: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

-35.1MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1723471120335058e-102	3.8162859920562395e-101

Compiler

Compiled 543 to 416 computations (23.4% saved)

simplify33.0ms (0.3%)

Memory

27.2MiB live, 64.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1010
1	196	1010
2	229	1010
3	267	1010
4	290	1010
5	301	1010
6	304	1010

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 q q)))) (/.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))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) #s(approx ( (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (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)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (neg.f64 q) (/.f64 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 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) 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 5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1665458937495117/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 q q)))) (/.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))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) (.f64 (fma.f64 #s(approx (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (fma.f64 (.f64 r p) #s(literal 2 binary64) (.f64 (.f64 q q) #s(literal -4 binary64)))) (/.f64 #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)))) (fabs.f64 r))) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) #s(approx ( (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (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)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))) (if (<=.f64 q #s(literal 8282095616148677/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) (if (<=.f64 q #s(literal 27499999999999999353793041600990313378591342373082197028765143524581434991321055953071462969657787071021399413486168116870930308792320 binary64)) #s(approx ( (/ 1 2) (+ (* (+ (* r r) (neg (+ (* 4 (* q q)) (pow (- p r) 2)))) (/ 1 (+ (fabs r) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2)))))) (fabs p))) (.f64 (-.f64 (fabs.f64 p) (/.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (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)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 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) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 8595487354884187/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))) (if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) r)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (neg.f64 q) (/.f64 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 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (neg.f64 q) r) 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 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (* (neg q) (pow (* (neg r) r) -1))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) 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 5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1665458937495117/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 1665458937495117/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) r) (.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal 1/2 binary64)))) (if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.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)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) -1/2)) (.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.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)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness1.3s (13.5%)

Memory

15.8MiB live, 958.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	389
0	92	383
1	387	349
2	2996	349
0	8771	349
0	755	3585
1	2272	3463
2	7292	3435
0	8011	3211
0	18	70
0	31	70
1	109	70
2	796	70
0	8636	66
0	63	401
0	100	401
1	409	401
2	3558	395
0	8338	390
0	1993	17701
1	6499	17370
0	8213	16438
0	389	1959
1	1082	1878
2	3231	1838
0	8154	1729
0	620	3263
1	1907	3082
2	6170	3054
0	8467	2844

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

Compiler

Compiled 1 249 to 416 computations (66.7% saved)

preprocess215.0ms (2.3%)

Memory: -5.0MiB live, 165.0MiB allocated
Compiler: Compiled 2 864 to 672 computations (76.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (26.6%)

explain380.0ms (4%)

preprocess208.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (1.8%)

localize96.0ms (1%)

series36.0ms (0.4%)

simplify166.0ms (1.7%)

rewrite195.0ms (2.1%)

eval68.0ms (0.7%)

prune35.0ms (0.4%)

simplify138.0ms (1.5%)

localize232.0ms (2.4%)

series119.0ms (1.3%)

simplify220.0ms (2.3%)

rewrite192.0ms (2%)

eval143.0ms (1.5%)

prune53.0ms (0.6%)

simplify169.0ms (1.8%)

localize342.0ms (3.6%)

series147.0ms (1.5%)

simplify151.0ms (1.6%)

rewrite167.0ms (1.8%)

eval86.0ms (0.9%)

prune94.0ms (1%)

simplify132.0ms (1.4%)

localize293.0ms (3.1%)

series52.0ms (0.5%)

simplify213.0ms (2.2%)

rewrite183.0ms (1.9%)

eval82.0ms (0.9%)

prune79.0ms (0.8%)

regimes152.0ms (1.6%)

regimes17.0ms (0.2%)

regimes30.0ms (0.3%)

regimes49.0ms (0.5%)

regimes19.0ms (0.2%)

regimes28.0ms (0.3%)

regimes33.0ms (0.4%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes217.0ms (2.3%)

bsearch117.0ms (1.2%)

bsearch7.0ms (0.1%)

bsearch34.0ms (0.4%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch75.0ms (0.8%)

bsearch3.0ms (0%)

simplify33.0ms (0.3%)

soundness1.3s (13.5%)

preprocess215.0ms (2.3%)

end0.0ms (0%)

Profiling