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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.2s (24.2%)

Memory

74.8MiB live, 4 319.0MiB allocated

Samples

677.0ms	2 186×	2	valid
662.0ms	3 092×	1	valid
380.0ms	2 978×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

adjust: 256.0ms (18.2% of total)

ival-add: 250.0ms (17.8% of total)

ival-pow2: 246.0ms (17.5% of total)

ival-sub: 172.0ms (12.2% of total)

ival-mult: 162.0ms (11.5% of total)

ival-sqrt: 136.0ms (9.7% of total)

ival-fabs: 88.0ms (6.3% of total)

ival-div: 73.0ms (5.2% of total)

exact: 13.0ms (0.9% of total)

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

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

Bogosity

explain340.0ms (3.7%)

Memory

20.4MiB live, 513.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	143	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	144
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	78
↳	`(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	78
`-.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	113	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	6	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	6
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	60
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	18
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	60
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	201	0
-	0	55

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	201	0	0
-	0	0	55

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	55
1	139
2	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	140×	2	valid
47.0ms	162×	1	valid
27.0ms	210×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-pow2: 21.0ms (25.3% of total)

adjust: 15.0ms (18.1% of total)

ival-mult: 10.0ms (12% of total)

ival-add: 10.0ms (12% of total)

ival-sub: 9.0ms (10.8% of total)

ival-sqrt: 8.0ms (9.6% of total)

ival-fabs: 5.0ms (6% of total)

ival-div: 4.0ms (4.8% of total)

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

exact: 1.0ms (1.2% of total)

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

preprocess537.0ms (5.8%)

Memory

-157.2MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	1460	180
4	3733	180
5	5610	180
6	7519	180
0	18	20
0	31	20
1	45	20
2	80	20
3	170	20
4	345	20
5	797	20
6	1614	20
7	3207	20
8	4101	20
9	4385	20
10	4475	20
11	4479	20
12	4479	20
13	4601	20
14	4625	20
15	4625	20
0	4625	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune5.0ms (0.1%)

Memory

-29.6MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.4%	(.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

▶

25.4%

(*.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)

simplify164.0ms (1.8%)

Memory

50.7MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	45	93
2	80	93
3	170	93
4	345	93
5	797	93
6	1614	93
7	3207	93
8	4101	93
9	4385	93
10	4475	93
11	4479	93
12	4479	93
13	4601	93
14	4625	93
15	4625	93
0	4625	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

localize134.0ms (1.5%)

Memory

-4.5MiB live, 153.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.029628759768442016	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.202347698714468	(.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	26.129134602233712	(-.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	34.55033279482642	(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	70×	2	valid
31.0ms	81×	1	valid
12.0ms	105×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

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

ival-mult: 22.0ms (38.4% of total)

adjust: 8.0ms (14% of total)

ival-pow2: 7.0ms (12.2% of total)

ival-sqrt: 6.0ms (10.5% of total)

ival-add: 5.0ms (8.7% of total)

ival-sub: 4.0ms (7% of total)

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

ival-fabs: 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)

series57.0ms (0.6%)

Memory

-16.9MiB live, 62.9MiB allocated

Counts

6 → 128

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	p	@	inf	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
5.0ms	q	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms	r	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms	p	@	0	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms	r	@	inf	((/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))

simplify160.0ms (1.7%)

Memory

25.1MiB live, 256.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3260
1	1907	3079
2	6213	2943
0	8129	2744

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

Calls

Call 1

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

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

rewrite242.0ms (2.6%)

Memory

-29.9MiB live, 390.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	67
1	109	67
2	796	67
0	8737	63

Stop Event

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

Counts

6 → 353

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 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 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (-.f64 (.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
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(/.f64 (.f64 (-.f64 p r) (neg.f64 (-.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 (*.f64 (-.f64 p r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 p r)))
(/.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 p (sqrt.f64 (-.f64 p r))) (sqrt.f64 (-.f64 p r)) (.f64 r (-.f64 r p)))
(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 (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)) p) (.f64 (-.f64 p r) (neg.f64 r)))
(fma.f64 (sqrt.f64 (-.f64 p r)) (.f64 (sqrt.f64 (-.f64 p r)) (neg.f64 r)) (.f64 (-.f64 p r) p))
(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)) p) (*.f64 (-.f64 p r) (neg.f64 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 (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 (-.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 (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: -8.0MiB live, 184.5MiB allocated
Compiler: Compiled 20 961 to 2 307 computations (89% saved)

prune31.0ms (0.3%)

Memory

11.1MiB live, 94.7MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	450	26	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	26	477

Accuracy

69.0%

Counts

477 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(.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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	12.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	13.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 (+.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))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.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 (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))))))
	22.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
	17.3%	(.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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
	39.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.1%	(.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 (.f64 q q) #s(literal 4 binary64) (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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
	8.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))))
	22.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
▶	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	14.7%	#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))
	39.9%	#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))
	17.6%	#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)))
	17.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
▶	16.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 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))
	21.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q 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))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	13.5%	#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))))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.2%	#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))
▶	40.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 208 to 1 414 computations (36% saved)

simplify281.0ms (3%)

Memory

1.7MiB live, 193.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #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)))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #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)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #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))))
cost-diff	1	(.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)))
cost-diff	0	(neg.f64 q)
cost-diff	0	(fma.f64 (neg.f64 q) (/.f64 q (*.f64 r r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#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	4	(.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 (+.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	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	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	56	598
0	91	598
1	170	598
2	406	598
3	1247	598
4	2872	594
5	7225	590
0	8445	576

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

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

localize392.0ms (4.3%)

Memory

29.4MiB live, 643.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	13.881658595760465	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
accuracy	17.48934385209016	(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))
accuracy	25.504844913443847	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	25.52367797541892	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	8.548242625653856	(/.f64 q (*.f64 r r))
accuracy	14.334466738530928	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	20.150220801802305	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	31.079780977142796	#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	2.944525708909128	(*.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	14.334466738530928	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	20.150220801802305	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	34.185339236687334	#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	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	49.608302682242226	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(neg.f64 q)
accuracy	26.09024785550188	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

115.0ms	45×	2	exit
111.0ms	127×	1	valid
66.0ms	65×	2	valid
3.0ms	10×	0	valid
3.0ms	7×	1	exit
2.0ms	2×	3	valid

Compiler

Compiled 543 to 57 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 81.0ms (35.8% of total)

ival-add: 51.0ms (22.5% of total)

adjust: 31.0ms (13.7% of total)

ival-sub: 22.0ms (9.7% of total)

ival-div: 17.0ms (7.5% of total)

ival-sqrt: 11.0ms (4.9% of total)

ival-pow2: 8.0ms (3.5% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series71.0ms (0.8%)

Memory

-7.2MiB live, 167.0MiB allocated

Counts

20 → 206

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	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) (* (+ (* (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))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (+ (+ (fabs r) p) (fabs p)) (/ q (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
9.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (+ (* (/ (+ (+ (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) (* (+ (* (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))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (+ (+ (fabs r) p) (fabs p)) (/ q (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
7.0ms	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) (* (+ (* (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))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (+ (+ (fabs r) p) (fabs p)) (/ q (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
7.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (+ (* (/ (+ (+ (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) (* (+ (* (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))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (+ (+ (fabs r) p) (fabs p)) (/ q (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
7.0ms	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) (* (+ (* (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))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (+ (+ (fabs r) p) (fabs p)) (/ q (* r r)) (sqrt (+ (* (* q q) 4) (* p p))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))

simplify227.0ms (2.5%)

Memory

-11.8MiB live, 421.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1012	5645
1	3030	5343
0	8810	5012

Stop Event

1×	iter limit
1×	node limit

Counts

206 → 204

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 #s(literal 1/2 binary64) r)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal -1/4 binary64) p))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(* -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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.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))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 q q) (*.f64 (neg.f64 r) r)) #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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64))) r (*.f64 #s(literal 1/2 binary64) p))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 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) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2)
(fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64)))
(* -1/4 r)
(*.f64 #s(literal -1/4 binary64) r)
(+ (* -1/4 r) (* 1/16 (/ (* (pow p 2) r) (pow q 2))))
(fma.f64 (.f64 (.f64 p p) #s(literal 1/16 binary64)) (/.f64 r (.f64 q q)) (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* (pow p 2) (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal -1/64 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64))) (.f64 (/.f64 r (.f64 q q)) #s(literal 1/16 binary64))) (.f64 p p) (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* (pow p 2) (+ (* 1/16 (/ r (pow q 2))) (* (pow p 2) (+ (* -1/64 (/ r (pow q 4))) (* 1/256 (/ (* (pow p 2) r) (pow q 6))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 r q) (.f64 (fma.f64 (.f64 #s(literal 1/256 binary64) (.f64 p p)) (/.f64 r (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 r (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64))) (.f64 p p))) (.f64 p p) (*.f64 #s(literal -1/4 binary64) r))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) p) (/.f64 r q) (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) p) (/.f64 r (pow.f64 q #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q))) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))
(* -1/8 (/ r q))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(fma.f64 (/.f64 p q) #s(literal 1/4 binary64) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 p (pow.f64 q #s(literal 3 binary64))) #s(literal -1/32 binary64) (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64))) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+ p (+ (fabs p) (fabs r)))
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(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) p) p (.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 r #s(literal -1/8 binary64))) r)) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) p) p (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 r q)) (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (.f64 (.f64 (.f64 r p) r) p) q) (.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 r #s(literal -1/8 binary64))) r))))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (*.f64 r #s(literal -1/8 binary64))))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (*.f64 r #s(literal -1/8 binary64))))))))) (neg.f64 q))
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (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 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite197.0ms (2.1%)

Memory

23.1MiB live, 345.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	429
0	91	429
1	382	422
2	3198	422
0	8647	417

Stop Event

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

Counts

20 → 450

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

eval172.0ms (1.9%)

Memory: 24.5MiB live, 289.2MiB allocated
Compiler: Compiled 57 412 to 3 993 computations (93% saved)

prune137.0ms (1.5%)

Memory

-38.3MiB live, 232.6MiB allocated

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	756	25	781
Fresh	4	17	21
Picked	3	2	5
Done	0	0	0
Total	763	44	807

Accuracy

78.3%

Counts

807 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(.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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	12.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	13.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 (+.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))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.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 (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))))))
	17.3%	(.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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
	39.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.1%	(.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 (.f64 q q) #s(literal 4 binary64) (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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (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))))
▶	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #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))))
	16.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	15.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	13.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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)))))
	19.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
▶	39.9%	#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))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	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))
	17.6%	#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)))
	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) (/.f64 (/.f64 q 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))
	9.7%	#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #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) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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))
	17.5%	#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))
	16.2%	#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 (/.f64 (*.f64 r r) q)) #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))
	21.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q 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))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	13.5%	#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))))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
▶	11.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (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)) r))
	12.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 r r)) (/.f64 (*.f64 q q) p) (+.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)) r))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.2%	#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))
✓	40.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	32.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64))))))
▶	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (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))))
	14.7%	#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 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	25.0%	#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) q) r)))

Compiler

Compiled 4 943 to 3 145 computations (36.4% saved)

simplify151.0ms (1.6%)

Memory

-11.5MiB live, 219.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #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)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #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))))
cost-diff	1	(.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)))
cost-diff	1	(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.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)) r)
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 (+.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)) r))
cost-diff	1	(*.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)
cost-diff	2	(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	0	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	#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)))
cost-diff	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))))
cost-diff	3	(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))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff	0	(/.f64 (+.f64 (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	3	(*.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	82	853
0	129	851
1	222	851
2	470	851
3	1270	839
4	2854	823
5	6999	823
0	8407	796

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

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

localize490.0ms (5.3%)

Memory

27.6MiB live, 779.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	13.680867855886374	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #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))))
accuracy	15.072319018725905	(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))
accuracy	18.572716961275553	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	39.219051676685766	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q)))
accuracy	9.05360249766614	(/.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	13.870096252195292	(+.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))
accuracy	16.477703717631744	(fma.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	23.90862516194198	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (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)) r))
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	16.477703717631744	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	22.427098685625218	(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))
accuracy	23.90862516194198	#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))))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	38.464250915608325	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy	0.0	(fabs.f64 p)
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	6.832451412004021	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
accuracy	22.97480937215632	#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

167.0ms	91×	2	valid
110.0ms	83×	2	exit
90.0ms	64×	1	valid
39.0ms	10×	1	exit
7.0ms	4×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 646 to 77 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

adjust: 94.0ms (27.7% of total)

ival-mult: 86.0ms (25.3% of total)

ival-add: 83.0ms (24.4% of total)

ival-div: 44.0ms (12.9% of total)

ival-sqrt: 12.0ms (3.5% of total)

ival-pow2: 8.0ms (2.4% of total)

ival-sub: 7.0ms (2.1% of total)

ival-fabs: 2.0ms (0.6% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series91.0ms (1%)

Memory

-0.1MiB live, 120.5MiB allocated

Counts

25 → 186

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	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 r) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (* (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (/ (+ (fabs r) (fabs p)) r) (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
10.0ms	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 r) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (* (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (/ (+ (fabs r) (fabs p)) r) (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
8.0ms	r	@	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 r) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (* (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (/ (+ (fabs r) (fabs p)) r) (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
6.0ms	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 r) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (* (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (/ (+ (fabs r) (fabs p)) r) (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))
6.0ms	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 r) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) (* (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (/ (+ (* (/ -1/16 q) (/ (* p p) q)) 1/2) (neg q)) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fabs p) (/ (+ (fabs r) (fabs p)) r) (+ (/ 1/2 r) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/ (+ (* (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1))

simplify170.0ms (1.8%)

Memory

-17.2MiB live, 263.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	4446
1	2582	4303
0	8067	4014

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 184

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

Outputs
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(*.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q) #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 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 p r)) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) (.f64 #s(literal -1/4 binary64) p))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q) #s(literal -1 binary64))
(/ (+ (fabs p) (fabs r)) q)
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(*.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #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 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #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 (+ (/ (fabs p) r) (/ (fabs r) r))) (* 1/2 (/ p r))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 p r) (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r))) #s(literal -1/2 binary64))
(/ -1/2 q)
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(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 64 binary64) (.f64 q q)) (/.f64 r (pow.f64 p #s(literal 8 binary64))) (.f64 (/.f64 r (pow.f64 p #s(literal 6 binary64))) #s(literal -16 binary64))) (.f64 q q) (.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 4 binary64))) (.f64 q q) (/.f64 (/.f64 (neg.f64 r) p) p)) (.f64 q q))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 r) p)) #s(literal 1/2 binary64))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (* -1 (/ (pow r 2) (pow p 3)))) (/ 1 p)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 r (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (/.f64 r p) p)) (/.f64 #s(literal -1 binary64) p)) (.f64 q q) (.f64 (+.f64 (+.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 r) p)) #s(literal 1/2 binary64)))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (/ 1 (pow p 3)))))))) (/ 1 p)))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 r (/.f64 r (pow.f64 p #s(literal 5 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 3 binary64) (fma.f64 (.f64 r (/.f64 r (pow.f64 p #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 q q) (neg.f64 (fma.f64 r (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (/.f64 r p) p)))) (/.f64 #s(literal 1 binary64) p)) (.f64 q q) (*.f64 (+.f64 (+.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 r) p)) #s(literal 1/2 binary64)))
(+ (* 1/2 r) (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (+ (* -1 (/ r (pow p 2))) (+ (* -1 (/ (pow r 2) (pow p 3))) (* (pow q 2) (+ (* 2 (/ (pow r 2) (pow p 5))) (+ (* 3 (/ r (pow p 4))) (+ (* 4 (/ (pow r 2) (pow p 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow r 2) (pow p 7))) (+ (* -10 (/ r (pow p 6))) (+ (* -8 (/ (pow r 2) (pow p 7))) (* -6 (/ (pow r 2) (pow p 7)))))) (* 2 (/ 1 (pow p 5))))) (/ 1 (pow p 3))))))))) (/ 1 p)))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 r (/.f64 r (pow.f64 p #s(literal 5 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 r (pow.f64 p #s(literal 4 binary64))) #s(literal 3 binary64) (fma.f64 (fma.f64 (.f64 r (/.f64 r (pow.f64 p #s(literal 7 binary64)))) #s(literal -16 binary64) (-.f64 (fma.f64 #s(literal -10 binary64) (/.f64 r (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 (.f64 r r) #s(literal -14 binary64)) (pow.f64 p #s(literal 7 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 5 binary64))))) (.f64 q q) (fma.f64 (.f64 r (/.f64 r (pow.f64 p #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))) (.f64 q q) (neg.f64 (fma.f64 r (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (/.f64 r p) p)))) (/.f64 #s(literal 1 binary64) p)) (.f64 q q) (*.f64 (+.f64 (+.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 r) p)) #s(literal 1/2 binary64)))
(+ (* -2 (/ (pow q 2) (pow p 3))) (/ 1 p))
(fma.f64 (*.f64 q (/.f64 q (pow.f64 p #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) p))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (/ 1 p))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (pow.f64 p #s(literal 5 binary64))) q) q (/.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 p #s(literal 7 binary64)))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 p #s(literal 5 binary64)))) (.f64 q q) (/.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal 1 binary64) p))
(+ p (* 2 (/ (pow q 2) p)))
(fma.f64 (/.f64 #s(literal 2 binary64) p) (*.f64 q q) p)
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(fma.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 p #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) p)) (.f64 q q) p)
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 p #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 3 binary64)))) (.f64 q q) (/.f64 #s(literal 2 binary64) p)) (*.f64 q q) p)
(* (pow q 2) (+ (* -16 (/ (pow q 2) (pow p 4))) (* 4 (/ 1 (pow p 2)))))
(.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 p #s(literal 4 binary64)))) #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 q q))
(* (pow q 2) (+ (* (pow q 2) (- (* 64 (/ (pow q 2) (pow p 6))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) q) q (/.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 q q) (/.f64 #s(literal 4 binary64) (.f64 p p))) (*.f64 q q))
(* (pow q 2) (+ (* (pow q 2) (- (* (pow q 2) (+ (* -256 (/ (pow q 2) (pow p 8))) (* 64 (/ 1 (pow p 6))))) (* 16 (/ 1 (pow p 4))))) (* 4 (/ 1 (pow p 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 p #s(literal 8 binary64)))) #s(literal -256 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 q q) (/.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 q q) (/.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 q 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 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q) #s(literal -1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (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 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q) #s(literal -1 binary64)))) q)
-1
#s(literal -1 binary64)
(/ (- (* 1/16 (/ (pow p 2) (pow q 2))) 1/2) q)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal 1/16 binary64) #s(literal -1/2 binary64)) q)
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (* 1/16 (/ (* (pow p 2) r) (pow q 2)))))
(fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/64 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 (/.f64 r (.f64 q q)) #s(literal 1/16 binary64)) p) p (*.f64 #s(literal -1/4 binary64) r)))
(+ (* -1/4 r) (+ (* -1/64 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/256 (/ (* (pow p 6) r) (pow q 6))) (* 1/16 (/ (* (pow p 2) r) (pow q 2))))))
(fma.f64 #s(literal -1/4 binary64) r (fma.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (/.f64 r (.f64 q q)) #s(literal 1/16 binary64)) p) p (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/64 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))))))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (*.f64 p p) q) #s(literal -1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 4))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* r (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (.f64 p p) q) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (.f64 r (/.f64 r (pow.f64 q #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/128 binary64)) (pow.f64 q #s(literal 4 binary64))))))) q (neg.f64 q))
(/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal -1/16 binary64) #s(literal 1/2 binary64)) 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)
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64)))))) 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)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal -1/16 binary64) #s(literal 1/2 binary64))) q)
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64)) q)
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(.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 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64))) q)
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (+.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal 1/4 binary64)))) q)
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (* 1/16 (/ (pow p 4) (pow q 4)))))
(fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (* -1/64 (/ (pow p 6) (pow q 6))) (* 1/16 (/ (pow p 4) (pow q 4))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 q #s(literal 6 binary64))))
(* -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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal -1/16 binary64) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 p p))) (neg.f64 q))) q) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/4 r) (* 1/2 p)))) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* r (+ (* -1/4 r) (* 1/2 p)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) p) p (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 r q)) (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 p #s(literal 4 binary64)) q) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) r (.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (.f64 r (/.f64 r (.f64 q q)))))))) (neg.f64 q))) (neg.f64 q)) q (neg.f64 q)))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64)))))) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal -1/16 binary64) #s(literal 1/2 binary64))) (neg.f64 q))
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (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 (.f64 p p) q) q) #s(literal 1/4 binary64) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (.f64 (/.f64 (/.f64 (*.f64 p p) q) q) #s(literal 1/4 binary64)))) (neg.f64 q))

rewrite212.0ms (2.3%)

Memory

25.8MiB live, 341.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	595
0	129	593
1	554	580
2	4883	580
0	8201	571

Stop Event

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

Counts

25 → 434

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

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

eval145.0ms (1.6%)

Memory: 10.3MiB live, 407.8MiB allocated
Compiler: Compiled 48 302 to 3 754 computations (92.2% saved)

prune71.0ms (0.8%)

Memory

-7.4MiB live, 190.7MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	604	11	615
Fresh	11	26	37
Picked	4	1	5
Done	0	2	2
Total	619	40	659

Accuracy

89.4%

Counts

659 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(.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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	13.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 (+.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))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.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 (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))))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (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))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64)))))) (neg.f64 q))) (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))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p #s(approx ( (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (.f64 #s(literal -1/4 binary64) r)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
▶	16.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	15.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	13.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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)))))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	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))
	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) (/.f64 (/.f64 q 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))
	9.7%	#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #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) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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))
	17.5%	#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))
	16.2%	#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 (/.f64 (*.f64 r r) q)) #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))
	21.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q 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))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	33.3%	#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))))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	7.2%	#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 #s(approx (+ (/ 1/2 r) (/ (+ ( (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/.f64 #s(literal 1/2 binary64) r)) p)) r))
	12.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 r r)) (/.f64 (*.f64 q q) p) (+.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)) r))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.2%	#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))
✓	40.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	33.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 r (/.f64 r (pow.f64 q #s(literal 3 binary64)))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))))
▶	34.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))))
	35.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (*.f64 p p) q) #s(literal -1 binary64))) q)))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (.f64 r (.f64 (fma.f64 (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (neg.f64 r) r) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	14.7%	#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 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) (/.f64 r p) #s(literal 1/2 binary64)) p))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))))
▶	40.1%	#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))))
	25.0%	#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) q) r)))

Compiler

Compiled 5 085 to 3 140 computations (38.2% saved)

simplify141.0ms (1.5%)

Memory

-8.4MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.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)) (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)))))
cost-diff	0	(fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (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)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (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))))
cost-diff	1	(.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)))
cost-diff	0	(fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q r))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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	2	(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q r)))
cost-diff	2	(*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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	(fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p)))
cost-diff	0	#s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))))
cost-diff	1	(fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
cost-diff	0	(+.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	96	879
0	143	879
1	263	876
2	630	871
3	1989	869
4	4791	859
0	8086	842

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

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

localize397.0ms (4.3%)

Memory

11.2MiB live, 495.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	13.881658595760465	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (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))))
accuracy	17.48934385209016	(fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))
accuracy	18.382183672349825	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) q))
accuracy	25.52367797541892	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	4.798105086080015	(*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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	14.334466738530928	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	20.150220801802305	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	31.079780977142796	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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	0.210160198714468	(fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))
accuracy	8.67372794594706	(/.f64 (*.f64 r r) q)
accuracy	13.881658595760465	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))))
accuracy	17.01505075485101	#s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	47.730583579634065	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#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	25.630952389395055	#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

129.0ms	128×	1	valid
92.0ms	45×	2	exit
79.0ms	64×	2	valid
5.0ms	10×	0	valid
4.0ms	7×	1	exit
3.0ms	2×	3	valid

Compiler

Compiled 672 to 78 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-mult: 101.0ms (40.5% of total)

adjust: 45.0ms (18% of total)

ival-div: 34.0ms (13.6% of total)

ival-add: 33.0ms (13.2% of total)

ival-sqrt: 16.0ms (6.4% of total)

ival-pow2: 8.0ms (3.2% of total)

ival-sub: 7.0ms (2.8% of total)

ival-fabs: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series44.0ms (0.5%)

Memory

-13.5MiB live, 68.9MiB allocated

Counts

26 → 212

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

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

Calls

9 calls:

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

simplify183.0ms (2%)

Memory

5.2MiB live, 281.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1033	5704
1	3088	5400
0	8329	5061

Stop Event

1×	iter limit
1×	node limit

Counts

212 → 210

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 #s(literal 1/2 binary64) r)) (.f64 (.f64 p #s(literal -1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 r p)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
(* 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 p)
(*.f64 #s(literal 1/2 binary64) p)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -2 q)))))
(fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(fma.f64 (.f64 p #s(literal 1/4 binary64)) (/.f64 r q) (fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))
(+ (* -1/8 (/ (pow r 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* p (+ (* 1/4 (/ r q)) (* p (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/32 (/ (pow r 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) p) (/.f64 r (pow.f64 q #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q))) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64))))
(+ (fabs p) (+ (fabs r) (* -2 q)))
(+.f64 (fma.f64 #s(literal -2 binary64) q (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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 q q) (*.f64 (neg.f64 r) r)) #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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64))) r (*.f64 #s(literal 1/2 binary64) p))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 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) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) (-.f64 (/.f64 (.f64 q q) (.f64 (neg.f64 r) r)) #s(literal 1/2 binary64)))
(* -1/4 r)
(*.f64 #s(literal -1/4 binary64) r)
(+ (* -1/4 r) (* 1/16 (/ (* (pow p 2) r) (pow q 2))))
(fma.f64 (.f64 (.f64 p p) #s(literal 1/16 binary64)) (/.f64 r (.f64 q q)) (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* (pow p 2) (+ (* -1/64 (/ (* (pow p 2) r) (pow q 4))) (* 1/16 (/ r (pow q 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal -1/64 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64))) (.f64 (/.f64 r (.f64 q q)) #s(literal 1/16 binary64))) (.f64 p p) (.f64 #s(literal -1/4 binary64) r))
(+ (* -1/4 r) (* (pow p 2) (+ (* 1/16 (/ r (pow q 2))) (* (pow p 2) (+ (* -1/64 (/ r (pow q 4))) (* 1/256 (/ (* (pow p 2) r) (pow q 6))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) q) (/.f64 r q) (.f64 (fma.f64 (.f64 #s(literal 1/256 binary64) (.f64 p p)) (/.f64 r (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 r (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64))) (.f64 p p))) (.f64 p p) (*.f64 #s(literal -1/4 binary64) r))
(* -1/8 (/ r q))
(*.f64 (/.f64 r q) #s(literal -1/8 binary64))
(+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))
(fma.f64 (/.f64 p q) #s(literal 1/4 binary64) (*.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64)) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(+ (* -1/8 (/ r q)) (* p (+ (* p (+ (* -1/32 (/ p (pow q 3))) (+ (* 1/64 (/ r (pow q 3))) (* 1/32 (/ r (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 p (pow.f64 q #s(literal 3 binary64))) #s(literal -1/32 binary64) (.f64 (/.f64 r (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64))) p (/.f64 #s(literal 1/4 binary64) q)) p (.f64 (/.f64 r q) #s(literal -1/8 binary64)))
(fabs p)
(fabs.f64 p)
(+ p (+ (fabs p) (fabs r)))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 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 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (/.f64 p r)) #s(literal -1/2 binary64))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(fma.f64 (/.f64 (.f64 p p) q) #s(literal 1/4 binary64) (.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 3 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (*.f64 q #s(literal 2 binary64)))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 5 binary64))) #s(literal 1/512 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/4 binary64) q)) (.f64 p p) (.f64 q #s(literal 2 binary64)))
(/ 1/2 q)
(/.f64 #s(literal 1/2 binary64) q)
(+ (* -1/16 (/ (pow p 2) (pow q 3))) (* 1/2 (/ 1 q)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 p p) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
(+ (* (pow p 2) (- (* 3/256 (/ (pow p 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (.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 (fma.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))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow p 2) (pow q 2))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 1/16 (/ (pow p 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 q q))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 q #s(literal 6 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal -1/4 binary64) (.f64 q q))) (.f64 p p) #s(literal 1 binary64))
(* -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 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 q q) (*.f64 (neg.f64 p) p)) #s(literal 1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
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(* -1/2 (/ (+ (* -1/4 r) (* 1/2 p)) q))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p))))) q))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 #s(literal -1/8 binary64) r)))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 r) (* 1/2 p)) (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (* r (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow p 2) (+ (* -1/4 r) (* 1/2 p))) (pow q 2))) (+ (* -1/128 (/ (* (pow p 4) r) (pow q 4))) (+ (* -1/256 (/ (* (pow p 4) r) (pow q 4))) (+ (* 1/1024 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/512 (/ (* (pow p 6) r) (pow q 6))) (+ (* 1/32 (/ (* (pow p 2) r) (pow q 2))) (* 1/2 (+ (* -1/4 r) (* 1/2 p)))))))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) r) (pow.f64 q #s(literal 6 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) (/.f64 (.f64 p p) q))) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 r (pow.f64 q #s(literal 6 binary64)))) #s(literal 3/1024 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)))))))) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(.f64 (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 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 p p) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow p 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (* -1/16 (/ (pow p 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow p 6)) (* 1/8 (* (pow p 2) (+ (* -1/64 (pow p 4)) (* 1/256 (pow p 4)))))) (pow q 6))) (* -1/16 (/ (pow p 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1/256 binary64))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite182.0ms (2%)

Memory

-3.6MiB live, 156.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	684
0	145	681
1	583	668
2	4921	662
0	8239	586

Stop Event

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

Counts

26 → 437

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

eval178.0ms (1.9%)

Memory: 25.6MiB live, 142.4MiB allocated
Compiler: Compiled 63 723 to 3 957 computations (93.8% saved)

prune127.0ms (1.4%)

Memory

-31.8MiB live, 131.3MiB allocated

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	720	9	729
Fresh	3	29	32
Picked	3	2	5
Done	0	3	3
Total	726	43	769

Accuracy

89.4%

Counts

769 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(.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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	13.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 (+.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))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.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 (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))))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (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))))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64)))))) (neg.f64 q))) (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))))
	16.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p #s(approx ( (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (.f64 #s(literal -1/4 binary64) r)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (fma.f64 #s(literal 1/2 binary64) p #s(approx ( (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (.f64 #s(literal -1/4 binary64) r)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	13.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	16.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	17.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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)))))
	16.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (neg.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
	28.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (/.f64 q r) r) (neg.f64 q) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	30.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 q (/.f64 r q)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	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))
	9.7%	#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)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) r))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.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))) r))
	17.5%	#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))
	16.2%	#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 (/.f64 (*.f64 r r) q)) #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))
	21.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q 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))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	33.3%	#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))))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	7.2%	#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 #s(approx (+ (/ 1/2 r) (/ (+ ( (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/.f64 #s(literal 1/2 binary64) r)) p)) r))
	12.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 r r)) (/.f64 (*.f64 q q) p) (+.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)) r))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.2%	#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))
✓	40.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	32.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))))
	39.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 r q) r) #s(literal -1/8 binary64)))))
	35.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (*.f64 p p) q) #s(literal -1 binary64))) q)))
	12.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (.f64 r (.f64 (fma.f64 (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (neg.f64 r) r) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	6.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) #s(approx (+ (* (+ (* -2 q) (+ (fabs r) (fabs p))) 1/2) (* (/ (* r r) q) -1/8)) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64)))))
	14.7%	#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 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r))))
	9.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) (/.f64 r p) #s(literal 1/2 binary64)) p))))
	2.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))))
✓	40.1%	#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))))
	25.0%	#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) q) r)))

Compiler

Compiled 7 297 to 2 239 computations (69.3% saved)

regimes246.0ms (2.7%)

Memory

17.1MiB live, 266.5MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (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) p) (fabs p)) r) 1/2) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (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 (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #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)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) #s(approx (+ (* (+ (* -2 q) (+ (fabs r) (fabs p))) 1/2) (* (/ (* r r) q) -1/8)) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 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 #s(approx (+ (/ 1/2 r) (/ (+ ( (+ (/ (fabs r) r) (/ (fabs p) r)) 1/2) -1/2) p)) (/.f64 #s(literal 1/2 binary64) r)) p)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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)))))) (*.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)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 r q) r) #s(literal -1/8 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 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)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 q (.f64 r r)) #s(approx (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
(.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 (-.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)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) #s(approx (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) -1/2) r) (* 1/2 p)) (*.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) (/.f64 r p) #s(literal 1/2 binary64)) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.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 (/.f64 q r) r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (neg.f64 q) r) (/.f64 q r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (/.f64 q r) r) (neg.f64 q) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 r q) #s(literal -1/8 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(.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 #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.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)) 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 #s(literal 1 binary64) (/.f64 r (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (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 #s(literal -1 binary64) r) (/.f64 q (/.f64 r q)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q 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 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) #s(literal -1/2 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q 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 (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)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (.f64 r (.f64 (fma.f64 (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (neg.f64 r) r) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
(.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)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 r (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) q) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (*.f64 p p) q) #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 #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)) (fma.f64 #s(literal 1/2 binary64) p #s(approx ( (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (.f64 #s(literal -1/4 binary64) r)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (neg q) (/ q (* r r))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 r r)) (/.f64 (*.f64 q q) p) (+.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)) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p #s(approx ( (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)) (.f64 #s(literal -1/4 binary64) r)))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.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))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) q)) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) q)) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) #s(literal 1/2 binary64)) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.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) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 #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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (.f64 p p) (-.f64 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (.f64 r r) (-.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 r (/.f64 r (pow.f64 q #s(literal 3 binary64)))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (fma.f64 #s(literal -2 binary64) q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (+.f64 (fma.f64 #s(literal -2 binary64) q (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 r r) q) #s(literal -1/8 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) r) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 3 binary64))) #s(literal 3/64 binary64) (/.f64 #s(literal -1/8 binary64) q)) p (.f64 (/.f64 r q) #s(literal 1/4 binary64))) p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (neg.f64 q) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 r r) q)) #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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (-.f64 (fma.f64 p p (.f64 r r)) (fabs.f64 (.f64 r p))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #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) (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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 q #s(literal 4 binary64)))))) (neg.f64 q))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 p p) q) (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)) (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))))
(.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 (.f64 q q) #s(literal 4 binary64) (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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) r) (-.f64 (neg.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (+ (* 1/2 p) (* (* -1/4 r) (+ (* (neg p) (/ p (+ (* (* q q) 4) (* p p)))) 1)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 p p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) r (.f64 #s(literal 1/2 binary64) p)) (.f64 q q)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 r (pow.f64 q #s(literal 4 binary64)))) #s(literal -3/256 binary64) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 p p)) (/.f64 r (.f64 q q)) (fma.f64 #s(literal 1/4 binary64) p (.f64 r #s(literal -1/8 binary64))))))) (neg.f64 q))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #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)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (.f64 (+.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))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.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 (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))))))

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

Calls

7 calls:

58.0ms	(-.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))))))
40.0ms	(.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)))))))
35.0ms	r
34.0ms	q
34.0ms	p

Results

Accuracy	Segments	Branch
52.8%	5	`p`
52.0%	3	`r`
65.1%	2	`q`
53.9%	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)))))))`
53.9%	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))))))`
65.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.1%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes29.0ms (0.3%)

Memory

-11.1MiB live, 28.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

3 calls:

18.0ms	(pow.f64 q #s(literal 2 binary64))
5.0ms	q
5.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
57.0%	2	`q`
57.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.0%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes51.0ms (0.6%)

Memory

1.5MiB live, 41.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

35.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.0ms	q
3.0ms	r
2.0ms	p
2.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
41.8%	2	`p`
40.1%	1	`r`
42.8%	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)))))))`
42.8%	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))))))`
45.4%	2	`q`
45.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
45.4%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes32.0ms (0.4%)

Memory

-7.2MiB live, 32.1MiB allocated

Accuracy

Total -24.7b remaining (-64.6%)

Threshold costs -24.7b (-64.6%)

Counts

6 → 1

Calls

Call 1

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

Calls

6 calls:

20.0ms	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	q
2.0ms	p
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
40.1%	1	`p`
40.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
40.1%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
40.1%	1	`q`
40.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
40.1%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 50 to 51 computations (-2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14954976713376.135	1.6446280470025486e+32

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14954976713376.135	1.6446280470025486e+32

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	1.4281772170808114e-232	7.653876450533105e-222

Compiler

Compiled 25 to 25 computations (0% saved)

simplify57.0ms (0.6%)

Memory

-0.3MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	70	307
1	126	306
2	257	306
3	609	306
4	1483	299
5	6069	288

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000 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)))) #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)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000 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) q) r))) #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)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (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)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000 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)))) #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)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000 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) q) r))) #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)))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) r) (.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (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)))))) (neg.f64 q))

soundness731.0ms (7.9%)

Memory

2.6MiB live, 508.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	4446
1	2582	4303
0	8067	4014
0	1012	5645
1	3030	5343
0	8810	5012
0	620	3260
1	1907	3079
2	6213	2943
0	8129	2744

Stop Event

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

Compiler

Compiled 386 to 154 computations (60.1% saved)

preprocess46.0ms (0.5%)

Memory: 4.1MiB live, 80.2MiB allocated
Compiler: Compiled 1 046 to 366 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (24.2%)

explain340.0ms (3.7%)

preprocess537.0ms (5.8%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify164.0ms (1.8%)

localize134.0ms (1.5%)

series57.0ms (0.6%)

simplify160.0ms (1.7%)

rewrite242.0ms (2.6%)

eval68.0ms (0.7%)

prune31.0ms (0.3%)

simplify281.0ms (3%)

localize392.0ms (4.3%)

series71.0ms (0.8%)

simplify227.0ms (2.5%)

rewrite197.0ms (2.1%)

eval172.0ms (1.9%)

prune137.0ms (1.5%)

simplify151.0ms (1.6%)

localize490.0ms (5.3%)

series91.0ms (1%)

simplify170.0ms (1.8%)

rewrite212.0ms (2.3%)

eval145.0ms (1.6%)

prune71.0ms (0.8%)

simplify141.0ms (1.5%)

localize397.0ms (4.3%)

series44.0ms (0.5%)

simplify183.0ms (2%)

rewrite182.0ms (2%)

eval178.0ms (1.9%)

prune127.0ms (1.4%)

regimes246.0ms (2.7%)

regimes29.0ms (0.3%)

regimes51.0ms (0.6%)

regimes32.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify57.0ms (0.6%)

soundness731.0ms (7.9%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling