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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (27.8%)

Memory

39.7MiB live, 4 643.9MiB allocated

Samples

683.0ms	2 165×	2	valid
643.0ms	3 118×	1	valid
367.0ms	2 973×	0	valid

Precisions

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

adjust: 292.0ms (21.2% of total)

ival-pow2: 257.0ms (18.7% of total)

ival-add: 196.0ms (14.2% of total)

ival-mult: 166.0ms (12.1% of total)

ival-sub: 164.0ms (11.9% of total)

ival-sqrt: 137.0ms (10% of total)

ival-fabs: 82.0ms (6% of total)

ival-div: 60.0ms (4.4% of total)

exact: 12.0ms (0.9% of total)

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

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

Bogosity

explain274.0ms (3.4%)

Memory

-22.1MiB live, 653.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
155	-	2	(8.673092535972987e-282 2.0065600518080642e-156 -3.058610462342689e-239)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
133	-	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))))))`
0	-	0	-	`q`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	0	-	`(-.f64 p r)`
0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	0	-	`(fabs.f64 p)`
0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	0	-	`(fabs.f64 r)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`r`
0	-	0	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	149	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	149
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	112
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	61
`-.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	133	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	4	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	4
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	59
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	19
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	59

Confusion

	Predicted +	Predicted -
+	205	1
-	0	50

Precision

1.0

Recall

0.9951456310679612

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	205	0	1
-	0	0	50

Precision?

1.0

Recall?

0.9951456310679612

Freqs

test

number	freq
0	51
1	124
2	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	200×	1	valid
46.0ms	128×	2	valid
22.0ms	184×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

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

ival-pow2: 19.0ms (23% of total)

adjust: 18.0ms (21.8% of total)

ival-sub: 10.0ms (12.1% of total)

ival-mult: 9.0ms (10.9% of total)

ival-add: 9.0ms (10.9% of total)

ival-sqrt: 8.0ms (9.7% of total)

ival-fabs: 5.0ms (6.1% of total)

ival-div: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess219.0ms (2.7%)

Memory

10.5MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	160	184
2	443	180
3	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(.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

▶

23.5%

(*.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)

simplify162.0ms (2%)

Memory

11.1MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
cost-diff	128	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 q #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	45	93
2	80	93
3	170	93
4	345	93
5	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

localize129.0ms (1.6%)

Memory

-21.3MiB live, 176.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
accuracy	0.020195019536884032	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	31.05517385573615	(-.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	35.83671289527496	(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

39.0ms	64×	2	valid
22.0ms	100×	1	valid
14.0ms	92×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

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

ival-mult: 8.0ms (19.9% of total)

ival-pow2: 7.0ms (17.4% of total)

adjust: 6.0ms (14.9% of total)

ival-sqrt: 6.0ms (14.9% of total)

ival-add: 5.0ms (12.4% of total)

ival-sub: 4.0ms (9.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

2.8MiB live, 40.4MiB allocated

Counts

7 → 121

Calls

Call 1

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

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

Calls

9 calls:

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

simplify162.0ms (2%)

Memory

38.4MiB live, 269.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	3149
1	1838	2974
2	6009	2850
0	8596	2659

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 118

Calls

Call 1

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

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

rewrite200.0ms (2.5%)

Memory

-25.7MiB live, 370.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	31	70
1	109	70
2	796	70
0	8700	66

Stop Event

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

Counts

7 → 296

Calls

Call 1

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

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

eval59.0ms (0.7%)

Memory: 31.7MiB live, 146.1MiB allocated
Compiler: Compiled 18 464 to 1 924 computations (89.6% saved)

prune37.0ms (0.5%)

Memory

-13.2MiB live, 100.8MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	382	31	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	31	414

Accuracy

59.7%

Counts

414 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
▶	17.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	16.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	18.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
	16.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))))
	11.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 r r (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (fabs.f64 p)))
	21.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
	23.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	13.5%	(.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 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))))
	14.3%	(.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))))
	35.3%	(.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 #s(literal 2 binary64) q))))
	18.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.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)))
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	19.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) 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))))
	18.8%	#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))))
	13.6%	#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))
	35.1%	#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))
	18.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 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)))
	19.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.0%	#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))
▶	17.0%	#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))
	20.4%	#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)))
▶	11.3%	#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) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
	11.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) p))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	36.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 694 to 1 648 computations (38.8% saved)

simplify165.0ms (2.1%)

Memory

27.9MiB live, 270.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 p) p)
cost-diff	0	(fma.f64 r r (*.f64 (neg.f64 p) p))
cost-diff	448	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(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))
cost-diff	128	(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	192	(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)))
cost-diff	704	(.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)
cost-diff	0	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(neg.f64 p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
cost-diff	832	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) p)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
cost-diff	0	(neg.f64 q)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	464
0	99	460
1	189	453
2	422	453
3	1220	453
4	4104	445
0	8427	439

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

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

localize279.0ms (3.5%)

Memory

-11.2MiB live, 670.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
accuracy	1.7499807332389217	(fma.f64 r r (*.f64 (neg.f64 p) p))
accuracy	24.46674641785024	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	27.482280914114966	(fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
accuracy	6.061424828243406	(.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)
accuracy	11.321331132932977	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	22.23830164925874	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	28.118134015246174	#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))
accuracy	4.509615177638351	(*.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)))
accuracy	12.856485689545263	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy	19.770218856192805	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	27.836787666164206	#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))))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	43.737910071204126	#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	26.37418453719575	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

111.0ms	129×	1	valid
59.0ms	71×	2	exit
43.0ms	44×	2	valid
3.0ms	5×	1	exit
2.0ms	2×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 918 to 120 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 45.0ms (27.6% of total)

adjust: 36.0ms (22.1% of total)

ival-add: 30.0ms (18.4% of total)

ival-div: 18.0ms (11% of total)

ival-sub: 10.0ms (6.1% of total)

ival-pow2: 9.0ms (5.5% of total)

ival-sqrt: 8.0ms (4.9% of total)

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

ival-fabs: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series58.0ms (0.7%)

Memory

-7.0MiB live, 113.3MiB allocated

Counts

21 → 202

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

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)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(- (/ (pow r 2) (- (fabs r) (fabs p))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* p (- (* -1 (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (/ 1 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (* 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 (- (fabs r) (fabs p)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))) (/ (pow r 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow r 2)
(+ (* -1 (pow p 2)) (pow r 2))
(* -1 (pow p 2))
(- (+ (fabs p) (fabs r)) r)
(+ (fabs p) (fabs r))
(+ 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)
(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))))))))))
(+ (* 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)))
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* -1 (/ (pow p 2) (- (fabs r) (fabs p))))
(* -1 (* (pow p 2) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p))))))
(* (pow p 2) (- (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p)))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (+ (* -2 (/ (pow q 2) (pow p 3))) (/ (pow r 2) (* (pow p 2) (- (fabs r) (fabs p))))) (+ (* -1 (/ r (pow p 2))) (+ (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))))
(* (pow p 2) (- (/ (pow r 2) (pow p 2)) 1))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* 1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* 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)
(* (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 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* (pow p 2) (- (/ 1 p) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (/ (pow r 2) (- (fabs r) (fabs p))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow p 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (pow q 2) p)) (/ (pow r 2) (- (fabs r) (fabs p)))) r) p)) 1) p)) (/ 1 (- (fabs r) (fabs p)))))
(* -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 (* -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 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) 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 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* r (- (* r (- (/ 1 (- (fabs r) (fabs p))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 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 (- (fabs r) (fabs p)))) (* 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))))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(+ (* 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 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)
(/ (+ (/ (* p (pow q 2)) r) (pow q 2)) (pow r 2))
(/ (pow r 2) (- (fabs r) (fabs p)))
(* (pow r 2) (- (/ 1 (- (fabs r) (fabs p))) (/ 1 r)))
(* (pow r 2) (- (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p)))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* (pow r 2) (- (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (pow p 2) (* (pow r 2) (- (fabs r) (fabs p))))) (/ 1 (- (fabs r) (fabs p))))) (+ (* -1 (/ p (pow r 2))) (/ 1 r))))
(* (pow r 2) (+ 1 (* -1 (/ (pow p 2) (pow r 2)))))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
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 r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* (pow r 2) (+ (/ 1 r) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* (pow r 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (* 2 (/ (pow q 2) r))) p) r)) 1) r)) (/ 1 (- (fabs r) (fabs p)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) p)
(- (+ r (+ (* -2 (/ (pow q 2) (- p r))) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- (+ r (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs 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))))) (/ (pow r 2) (- (fabs r) (fabs p)))))) p)
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 2))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* -2 q)
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (/ (pow r 2) (* q (- (fabs r) (fabs p))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) 2))
(* q (- (+ (* -1 (/ (pow p 2) (* q (- (fabs r) (fabs p))))) (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ (pow r 2) (* q (- (fabs r) (fabs p)))))) (+ 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)))))))
(* 4 (pow q 2))
(* (pow q 2) (+ 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 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (+ (* 1/4 (/ (pow (- p r) 2) q)) (/ (pow r 2) (- (fabs r) (fabs p))))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)) (+ (* -1 (/ (pow p 2) (- (fabs r) (fabs p)))) (/ (pow r 2) (- (fabs r) (fabs p))))) 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
12.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (+ (* r r) (* (neg p) p)) (* (neg p) p) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (* 4 (* q q)) (pow (- p r) 2)))
10.0ms	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) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (+ (* r r) (* (neg p) p)) (* (neg p) p) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (* 4 (* q q)) (pow (- p r) 2)))
8.0ms	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) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (+ (* r r) (* (neg p) p)) (* (neg p) p) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (* 4 (* q q)) (pow (- p r) 2)))
7.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (+ (* r r) (* (neg p) p)) (* (neg p) p) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (* 4 (* q q)) (pow (- p r) 2)))
4.0ms	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) (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) (+ (* (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (+ (* r r) (* (neg p) p)) (* (neg p) p) (- (+ (fabs r) (fabs p)) r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))) (+ (* 4 (* q q)) (pow (- p r) 2)))

simplify254.0ms (3.2%)

Memory

-15.9MiB live, 308.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	4941
1	2541	4697
0	8179	4455

Stop Event

1×	iter limit
1×	node limit

Counts

202 → 199

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

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

rewrite168.0ms (2.1%)

Memory

17.6MiB live, 292.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	322
0	95	308
1	404	297
2	3430	297
0	8953	297

Stop Event

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

Counts

21 → 551

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

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 (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p)
(.f64 (.f64 (neg.f64 p) (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) p))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 p (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (neg.f64 p))) (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 p))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) 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) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (neg.f64 p)) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 p)) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (.f64 #s(literal 1/2 binary64) p)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
(fma.f64 (.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) #s(literal -1 binary64)) p (*.f64 #s(literal 1/2 binary64) p))
(fma.f64 (.f64 (neg.f64 p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (neg.f64 p) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 #s(literal -1 binary64) (.f64 p (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) p))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) p) (.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (.f64 #s(literal 1/2 binary64) p) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 (neg.f64 p) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 (neg.f64 p) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) (neg.f64 p)) (.f64 #s(literal 1/2 binary64) p))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 p) (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
(fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
(+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 (*.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 p)))
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 p p (*.f64 #s(literal 0 binary64) p)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 p) p)) (neg.f64 (+.f64 #s(literal 0 binary64) p)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 p p (*.f64 #s(literal 0 binary64) p))))
(/.f64 (*.f64 (neg.f64 p) p) (+.f64 #s(literal 0 binary64) p))
(neg.f64 p)
(-.f64 #s(literal 0 binary64) p)
(+.f64 #s(literal 0 binary64) (neg.f64 p))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
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(/.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) (-.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.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)))) (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)))) (neg.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (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 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 q #s(literal 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 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.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 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 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))) (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.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) (neg.f64 (/.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 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (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 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) (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) (/.f64 (-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.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 (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 q #s(literal 4 binary64)) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (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) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(neg.f64 (.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)))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 r (+.f64 r p) (.f64 p p)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (.f64 (+.f64 r p) (-.f64 p r)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 r p) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 (-.f64 p r) (-.f64 p r) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 q (*.f64 q #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(sqrt.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)))
(-.f64 (/.f64 (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (.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 4 binary64)) (-.f64 (.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 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)))))
(fabs.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.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)))
(exp.f64 (.f64 (log.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)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.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)))
(exp.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (.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 (.f64 q q) #s(literal 4 binary64)))

eval287.0ms (3.6%)

Memory: 0.9MiB live, 228.6MiB allocated
Compiler: Compiled 41 137 to 3 836 computations (90.7% saved)

prune76.0ms (1%)

Memory

-1.2MiB live, 165.2MiB allocated

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	735	21	756
Fresh	9	17	26
Picked	3	2	5
Done	0	0	0
Total	747	40	787

Accuracy

78.1%

Counts

787 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	17.3%	(.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 #s(approx (+ (* 4 (* q q)) (pow (- p r) 2)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	16.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	18.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
	11.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 r r (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (fabs.f64 p)))
	23.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
▶	13.5%	(.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 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))))
▶	35.3%	(.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 #s(literal 2 binary64) q))))
	18.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.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)))
	14.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))))
	9.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1 binary64) r)) (.f64 r r))))
	21.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	27.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	35.1%	#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))
▶	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	23.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (neg.f64 (/.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))
	19.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.0%	#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))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (pow.f64 (/.f64 q 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))
	17.1%	#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 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) 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))
	10.4%	#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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	3.2%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)))) r))
	12.1%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
▶	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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))
	20.4%	#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)))
	7.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	10.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
	13.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (-.f64 (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64) (/.f64 (*.f64 q q) r)) (neg.f64 r)) #s(literal 1/2 binary64))) r))
	14.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) r))) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	36.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	13.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	19.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (.f64 (neg.f64 q) q))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)))
	27.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 3 785 to 2 451 computations (35.2% saved)

simplify206.0ms (2.6%)

Memory

34.7MiB live, 301.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))))
cost-diff	128	(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	832	(.f64 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)
cost-diff	0	#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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))
cost-diff	192	(fma.f64 #s(literal -1 binary64) #s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)))
cost-diff	704	(.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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)
cost-diff	0	(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
cost-diff	0	(fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff	0	(+.f64 (fabs.f64 p) (fabs.f64 r))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	607
0	96	607
1	164	604
2	343	604
3	1047	604
4	3307	596
0	8747	565

Stop Event

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

Calls

Call 1

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

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

localize338.0ms (4.2%)

Memory

-9.3MiB live, 724.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.628293085525966	(.f64 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)
accuracy	6.085916858302059	(fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r)))
accuracy	23.314341615697817	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))
accuracy	23.695589985037895	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
accuracy	11.321331132932977	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	14.123709382732391	#s(approx (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r)))
accuracy	22.106427363359813	(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy	25.14847498760174	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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))
accuracy	2.7683333538897696	(*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r)
accuracy	21.50539417899355	(fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))
accuracy	22.106427363359813	(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
accuracy	22.994485541103966	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	38.366531680135516	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	23.695589985037895	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
accuracy	25.657350565976422	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))

Samples

96.0ms	119×	1	valid
57.0ms	76×	2	exit
47.0ms	7×	1	exit
44.0ms	43×	2	valid
11.0ms	8×	3	exit
1.0ms	3×	0	valid

Compiler

Compiled 1 091 to 111 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-add: 41.0ms (26.7% of total)

ival-mult: 36.0ms (23.5% of total)

adjust: 33.0ms (21.5% of total)

ival-div: 18.0ms (11.7% of total)

ival-sub: 10.0ms (6.5% of total)

ival-pow2: 8.0ms (5.2% of total)

ival-sqrt: 4.0ms (2.6% of total)

ival-fabs: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series85.0ms (1.1%)

Memory

-26.3MiB live, 94.3MiB allocated

Counts

25 → 204

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(* 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)
(+ p (+ (fabs p) (fabs r)))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2)))
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(+ (* p (* r (- (* 2 (/ (pow q 2) (pow r 3))) (/ 1 r)))) (* r (+ 1 (* 2 (/ (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))))))))))
(fabs p)
(+ 1 (* 2 (/ (pow q 2) (pow r 2))))
(+ 1 (+ (* 2 (/ (pow q 2) (pow r 2))) (* p (- (* 2 (/ (pow q 2) (pow r 3))) (/ 1 r)))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1 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)))))))
(* 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
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* p (* r (- (* 2 (/ (pow q 2) (pow r 3))) (/ 1 r))))
(* p (+ (* r (- (* 2 (/ (pow q 2) (pow r 3))) (/ 1 r))) (/ (* r (+ 1 (* 2 (/ (pow q 2) (pow r 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)))))))
(* p (- (* 2 (/ (pow q 2) (pow r 3))) (/ 1 r)))
(* p (- (+ (* 2 (/ (pow q 2) (* p (pow r 2)))) (+ (* 2 (/ (pow q 2) (pow r 3))) (/ 1 p))) (/ 1 r)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* -1 (* p (* r (+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))) p)) (* r (+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))))))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))))
(* -1 (* p (+ (* -2 (/ (pow q 2) (pow r 3))) (+ (* -1 (/ (+ 1 (* 2 (/ (pow q 2) (pow r 2)))) p)) (/ 1 r)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1/2 r)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(* 2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* 2 (* p (pow q 2))) (* 2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* 2 (* p (pow q 2))) (* r (+ (* -1 (* p r)) (* 2 (pow q 2))))) (pow r 2))
(/ (+ (* 2 (* p (pow q 2))) (* r (+ (* 2 (pow q 2)) (* r (+ r (* -1 p)))))) (pow r 2))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(fabs r)
(* 2 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* 2 (* p (pow q 2))) (* 2 (* (pow q 2) r))) (pow r 3))
(/ (+ (* 2 (* p (pow q 2))) (* r (+ (* -1 (* p r)) (* 2 (pow q 2))))) (pow r 3))
(/ (+ (* 2 (* p (pow q 2))) (* r (+ (* 2 (pow q 2)) (* r (- r p))))) (pow r 3))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)
(/ (+ (/ (* p (pow q 2)) r) (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)))))))
1
(+ 1 (* -1 (/ p r)))
(- (+ 1 (* 2 (/ (pow q 2) (pow r 2)))) (/ p r))
(- (+ 1 (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow 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 (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -1 (* r (- (/ p r) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 p) (* 2 (/ (pow q 2) r))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 p) (* -1 (/ (+ (* -2 (/ (* p (pow q 2)) r)) (* -2 (pow q 2))) r))) 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)))))
(+ 1 (* -1 (/ (- (* -2 (/ (pow q 2) r)) (* -1 p)) r)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)) (* -1 p)) r)))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(* r (- 1 (/ p r)))
(+ (* 2 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- 1 (/ p r))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(- 1 (/ p r))
(- (+ 1 (* 2 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))) (/ p r))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (pow q 2)))))
(* 2 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* 2 (/ (+ 1 (/ p r)) r)) (/ (* r (- 1 (/ p r))) (pow q 2))))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* 2 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* 2 (/ (+ 1 (/ p r)) (pow r 2))) (/ 1 (pow q 2))) (/ p (* (pow q 2) r))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (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
29.0ms	r	@	inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (+ (+ p (fabs r)) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))))
4.0ms	q	@	-inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (+ (+ p (fabs r)) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))))
3.0ms	p	@	0	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (+ (+ p (fabs r)) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))))
3.0ms	p	@	-inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (+ (+ p (fabs r)) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))))
3.0ms	p	@	inf	((/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (+ (+ p (fabs r)) (fabs p)) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (fabs r) (+ (+ (fabs r) p) (fabs p)) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))))

simplify185.0ms (2.3%)

Memory

20.5MiB live, 261.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	830	4888
1	2582	4588
0	8394	4329

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 201

Calls

Call 1

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

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

rewrite228.0ms (2.8%)

Memory

-9.8MiB live, 177.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	511
0	96	483
1	381	480
2	2959	480
0	9400	471

Stop Event

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

Counts

25 → 415

Calls

Call 1

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

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

eval123.0ms (1.5%)

Memory: 29.2MiB live, 103.6MiB allocated
Compiler: Compiled 36 715 to 2 981 computations (91.9% saved)

prune59.0ms (0.7%)

Memory

-27.7MiB live, 89.0MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	608	10	618
Fresh	9	24	33
Picked	2	3	5
Done	0	2	2
Total	619	39	658

Accuracy

84.3%

Counts

658 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	17.3%	(.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 #s(approx (+ (* 4 (* q q)) (pow (- p r) 2)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	16.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	18.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
▶	23.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	10.8%	(.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 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) #s(literal 3 binary64))) r) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
	7.3%	(.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 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 r p)) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 r p))) r))))
	13.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) #s(approx (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 p r) #s(literal 2 binary64) #s(literal 2 binary64)) r) q) q (neg.f64 p)) r) r r)))))
	11.5%	(.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)))) #s(approx (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (fma.f64 (.f64 r #s(literal 2 binary64)) (.f64 (/.f64 q r) (/.f64 q r)) r)))))
	18.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.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)))
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))))
▶	35.3%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	27.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (fma.f64 p (-.f64 p (fabs.f64 r)) (.f64 r r)) #s(literal -1 binary64)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	17.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) r))
✓	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	19.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	15.0%	#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))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (pow.f64 (/.f64 q 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))
▶	10.4%	#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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	3.2%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)))) r))
	12.1%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
✓	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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))
	20.4%	#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)))
	7.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	2.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))) r))
	14.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) r))) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	36.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -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))))
	8.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
▶	13.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
	19.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (.f64 (neg.f64 q) q))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)))
	27.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 3 720 to 2 316 computations (37.7% saved)

simplify144.0ms (1.8%)

Memory

7.7MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r)))
cost-diff	192	(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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	704	(.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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
cost-diff	1152	(fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)
cost-diff	0	(+.f64 (fabs.f64 p) (fabs.f64 r))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 q q) (+.f64 r p))
cost-diff	0	(neg.f64 (.f64 (.f64 q q) (+.f64 r p)))
cost-diff	0	#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r)))
cost-diff	0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r 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	(fabs.f64 r)
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
cost-diff	0	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	629
0	112	623
1	207	618
2	523	611
3	1443	583
4	3752	572
5	7137	572
0	8211	554

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (3.3%)

Memory

3.8MiB live, 438.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.524548028707428	(.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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
accuracy	11.321331132932977	(fma.f64 (/.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy	30.29838736680694	#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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
accuracy	30.960114836629046	(fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)
accuracy	0.00390625	(fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))
accuracy	0.016288769536884032	(.f64 #s(literal 4 binary64) (.f64 q q))
accuracy	26.38328585660158	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))
accuracy	27.71478073806974	(sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))
accuracy	5.562493624979189	(.f64 (.f64 q q) (+.f64 r p))
accuracy	11.877107080389713	#s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r)))
accuracy	13.605107412734156	(/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))
accuracy	30.29838736680694	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	47.11378011240617	#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	26.38328585660158	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
accuracy	29.798873639448953	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))

Samples

121.0ms	150×	1	valid
49.0ms	46×	2	valid
40.0ms	50×	2	exit
2.0ms	5×	1	exit
2.0ms	5×	0	valid

Compiler

Compiled 1 108 to 136 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 39.0ms (25.2% of total)

adjust: 32.0ms (20.7% of total)

ival-div: 27.0ms (17.5% of total)

ival-add: 24.0ms (15.5% of total)

ival-sub: 9.0ms (5.8% of total)

ival-pow2: 8.0ms (5.2% of total)

ival-sqrt: 8.0ms (5.2% of total)

ival-fabs: 5.0ms (3.2% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series32.0ms (0.4%)

Memory

1.0MiB live, 38.6MiB allocated

Counts

26 → 203

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(* 1/2 p)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(* -1 (* (pow q 2) r))
(- (* -1 (* p (pow q 2))) (* (pow q 2) r))
(* (pow q 2) r)
(+ (* p (pow q 2)) (* (pow q 2) r))
(+ p (+ (fabs p) (fabs r)))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))) 1/2)
(/ (pow q 2) (pow r 2))
(+ (/ (* p (pow q 2)) (pow r 3)) (/ (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))))))))))
(fabs p)
(* -1 (/ (pow q 2) r))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* -1 (/ (pow q 2) r)))
(+ (* 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)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* p (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* p (+ (* r (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))) (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(* -1 (* p (pow q 2)))
(* p (- (* -1 (/ (* (pow q 2) r) p)) (pow q 2)))
(* p (pow q 2))
(* p (+ (/ (* (pow q 2) r) p) (pow q 2)))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ (* -1 (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r))))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* -1 (/ (pow q 2) (pow r 3))) (+ (* 1/2 (/ 1 r)) (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p))))) (* 1/2 (/ 1 p))))
(/ (* p (pow q 2)) (pow r 3))
(* p (+ (/ (pow q 2) (* p (pow r 2))) (/ (pow q 2) (pow r 3))))
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(* p (+ (* -1 (/ (pow q 2) (* p r))) (* -1 (/ (pow q 2) (pow r 2)))))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* 1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* -1 (* p (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r))))))
(* -1 (* p (+ (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) (* r (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))))
(* -1 (* p (- (/ (* (pow q 2) r) p) (* -1 (pow q 2)))))
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (/ (pow q 2) (pow r 3)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (+ (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (/ (pow q 2) (pow r 3))) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (* -1 (/ (pow q 2) (pow r 3))))))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ (/ (pow q 2) (* p r)) (/ (pow q 2) (pow r 2)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(fabs r)
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(- (* -1 (* (pow q 2) r)) (* p (pow q 2)))
(* -1 (/ (* p (pow q 2)) (pow r 3)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 3))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 3))
(/ (+ (* p (pow q 2)) (* (pow q 2) r)) (pow r 3))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(+ (* 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 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* r (- (* -1 (/ (* p (pow q 2)) r)) (pow q 2)))
(* r (+ (/ (* p (pow q 2)) r) (pow q 2)))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2)
(/ (+ (/ (* p (pow q 2)) r) (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)))))))
(/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)
(pow r 2)
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (/ (* p (pow q 2)) r) (* -1 (pow q 2)))))
(* -1 (* r (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) r)) 1/2)
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) p)
(+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(* -1 (* (pow q 2) (+ p r)))
(* (pow q 2) (+ p r))
(- (+ (* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)
(* -1 (/ (* (pow q 2) (+ p r)) (pow r 2)))
(* 4 (pow q 2))
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 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))))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) r))
(* (pow q 2) (+ (* -1 (/ (+ 1 (/ p r)) r)) (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2))))
(* -1 (/ (* (pow q 2) (+ 1 (/ p r))) (pow r 2)))
(* (pow q 2) (- (+ (* -1 (/ (+ 1 (/ p r)) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r)))) (* 1/2 (/ 1 (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)))))))
(* (pow q 2) (+ 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
5.0ms	r	@	inf	((* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (+ (* (neg p) (/ (+ (fabs r) (fabs p)) (neg p))) p) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (/ (neg (* (* q q) (+ r p))) (* r r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (+ (* (- p r) (- p r)) (* 4 (* q q))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
4.0ms	p	@	inf	((* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (+ (* (neg p) (/ (+ (fabs r) (fabs p)) (neg p))) p) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (/ (neg (* (* q q) (+ r p))) (* r r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (+ (* (- p r) (- p r)) (* 4 (* q q))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
3.0ms	q	@	inf	((* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (+ (* (neg p) (/ (+ (fabs r) (fabs p)) (neg p))) p) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (/ (neg (* (* q q) (+ r p))) (* r r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (+ (* (- p r) (- p r)) (* 4 (* q q))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
3.0ms	q	@	-inf	((* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (+ (* (neg p) (/ (+ (fabs r) (fabs p)) (neg p))) p) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (/ (neg (* (* q q) (+ r p))) (* r r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (+ (* (- p r) (- p r)) (* 4 (* q q))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))
3.0ms	p	@	0	((* (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs r) (fabs p)) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (neg (* (* q q) (+ r p))) (* (* q q) (+ r p)) (/ 1 2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))))) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q))))) (+ (fabs p) (fabs r)) (+ (* (neg p) (/ (+ (fabs r) (fabs p)) (neg p))) p) (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (* (+ (/ p r) 1) (* (/ q r) (/ q r))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fabs p) (/ (neg (* (* q q) (+ r p))) (* r r)) (sqrt (+ (* (- p r) (- p r)) (* 4 (* q q)))) (* 4 (* q q)) (+ (* (- p r) (- p r)) (* 4 (* q q))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2))

simplify179.0ms (2.2%)

Memory

-4.5MiB live, 155.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	797	4613
1	2491	4326
0	8100	4097

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 200

Calls

Call 1

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

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

rewrite245.0ms (3.1%)

Memory

6.1MiB live, 287.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	505
0	112	487
1	454	476
2	3498	461
0	11572	444

Stop Event

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

Counts

26 → 507

Calls

Call 1

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

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

eval111.0ms (1.4%)

Memory: 16.7MiB live, 241.4MiB allocated
Compiler: Compiled 44 058 to 3 583 computations (91.9% saved)

prune133.0ms (1.7%)

Memory

-10.0MiB live, 128.2MiB allocated

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	719	9	728
Fresh	7	22	29
Picked	3	2	5
Done	1	4	5
Total	730	37	767

Accuracy

84.4%

Counts

767 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	17.3%	(.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 #s(approx (+ (* 4 (* q q)) (pow (- p r) 2)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	16.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
	18.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	11.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))
	10.8%	(.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 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) #s(literal 3 binary64))) r) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
	7.3%	(.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 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 r p)) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 r p))) r))))
	13.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) #s(approx (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 p r) #s(literal 2 binary64) #s(literal 2 binary64)) r) q) q (neg.f64 p)) r) r r)))))
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 (*.f64 r r) (-.f64 (fabs.f64 r) (fabs.f64 p)))))
✓	35.3%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	20.4%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
	19.0%	(.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) #s(literal 1/2 binary64))
	23.5%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
	27.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (fma.f64 p (-.f64 p (fabs.f64 r)) (.f64 r r)) #s(literal -1 binary64)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
	17.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64)) r))
✓	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) 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 #s(literal -1 binary64) (fma.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (pow.f64 (/.f64 q 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))
	3.2%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)))) r))
	12.1%	#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))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
	11.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	7.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
	2.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	6.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	36.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -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))))
	8.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 p r) r)) r)))
	14.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (.f64 (.f64 q q) r))) (*.f64 r r))))
	22.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 p r)) r))))
	23.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (/.f64 (*.f64 q q) (neg.f64 r)))))
	18.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (.f64 (neg.f64 p) (fma.f64 (/.f64 q p) (/.f64 q r) (.f64 (/.f64 q r) (/.f64 q r)))))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64)) p)))
	27.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))

Compiler

Compiled 5 559 to 1 665 computations (70% saved)

regimes143.0ms (1.8%)

Memory

3.0MiB live, 192.3MiB 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 (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (/.f64 (*.f64 q q) (neg.f64 r)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -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)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (/.f64 r p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 #s(approx (* (* q q) (+ r p)) (.f64 (.f64 q q) r))) (*.f64 r r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) (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))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 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 p (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 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 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) (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 (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (.f64 (/.f64 q r) q) (/.f64 (neg.f64 (+.f64 p r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) (.f64 (neg.f64 q) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) (/.f64 (.f64 (.f64 (neg.f64 q) q) (/.f64 (+.f64 p r) r)) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (/.f64 (*.f64 r r) (-.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 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64))
(.f64 (/.f64 #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))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (.f64 (.f64 (neg.f64 q) q) (/.f64 (/.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r) r))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) (-.f64 (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64) (/.f64 (*.f64 q q) r)) (neg.f64 r)) #s(literal 1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.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))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ ( (+ (* r r) (* (neg p) p)) (/ 1 (- (fabs r) (fabs p)))) (neg (sqrt (+ (* 4 (* q q)) (pow (- p r) 2))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (/.f64 #s(literal 1 binary64) r)) (.f64 r r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* -1 (* (+ (/ p r) 1) (* (/ q r) (/ q r)))) (+ (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2)) r) #s(approx (/ (neg (* (* q q) (+ r p))) (* r r)) (.f64 (neg.f64 p) (fma.f64 (/.f64 q p) (/.f64 q r) (.f64 (/.f64 q r) (/.f64 q 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)))) #s(approx (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (fma.f64 (.f64 r #s(literal 2 binary64)) (.f64 (/.f64 q r) (/.f64 q r)) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.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))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) #s(approx (+ ( (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (.f64 (/.f64 q r) (/.f64 q r))) #s(approx (+ ( (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) -1/2) (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 q r) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (neg.f64 (/.f64 q r)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 #s(approx (+ (* 4 (* q q)) (pow (- p r) 2)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 #s(literal -1 binary64) #s(approx ( (+ (/ p r) 1) (* (/ q r) (/ q r))) (*.f64 (/.f64 q r) (/.f64 q r))) (fma.f64 (/.f64 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (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 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) 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 (/.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)))) #s(approx (* (+ (* (* (+ (/ p r) 1) (* (/ q r) (/ q r))) 2) (- 1 (/ p r))) r) (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 p r) #s(literal 2 binary64) #s(literal 2 binary64)) r) q) q (neg.f64 p)) r) r r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 p r) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))) #s(literal 1/2 binary64))
(.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 (fma.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (*.f64 (/.f64 q r) (/.f64 q r))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (fabs.f64 p) r)) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (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 #s(approx (+ (+ (fabs r) p) (fabs p)) (fma.f64 (neg.f64 p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 p)) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal 1/2 binary64) p (.f64 (.f64 #s(literal -1/4 binary64) r) (fma.f64 (neg.f64 p) (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 1 binary64))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 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))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (.f64 (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.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 #s(literal -1 binary64) (fma.f64 (/.f64 p r) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (pow.f64 (/.f64 q 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))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (fma.f64 r r (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (fabs.f64 p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (fma.f64 p (-.f64 p (fabs.f64 r)) (.f64 r r)) #s(literal -1 binary64)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64)) r))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (-.f64 (.f64 p p) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 r r (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (fabs.f64 p)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 p p (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))))
(.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 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) #s(literal 3 binary64))) r) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 r p)) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 p r) #s(literal 1 binary64))) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 r p))) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 #s(literal 4 binary64) (.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))))

Outputs

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

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

Calls

7 calls:

22.0ms	r
21.0ms	q
19.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
19.0ms	p
19.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
49.9%	3	`p`
58.4%	4	`r`
55.5%	2	`q`
44.8%	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)))))))`
44.8%	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))))))`
55.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
55.5%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes20.0ms (0.2%)

Memory

-16.1MiB live, 22.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	q
2.0ms	r
2.0ms	p
2.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
36.0%	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)))))))`
36.0%	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))))))`
38.4%	2	`p`
36.0%	1	`r`
38.9%	2	`q`
38.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes14.0ms (0.2%)

Memory

-17.4MiB live, 27.7MiB allocated

Accuracy

Total -22.1b remaining (-54%)

Threshold costs -22.1b (-54%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.0%	1	`p`
36.0%	1	`q`
36.0%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
36.0%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.505832898086965e-16	4.218275200997675e-8

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.718135873971427e-291	5.0107813458467244e-290

Compiler

Compiled 25 to 25 computations (0% saved)

simplify48.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	55	176
1	110	176
2	251	176
3	756	175
4	2509	171
5	6290	169

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))

(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (- (+ (fabs r) (fabs p)) r) p) -1/2) -1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))

(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ (+ p (fabs r)) (fabs p)) (/ 1/2 r)) -1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))

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

soundness604.0ms (7.5%)

Memory

14.8MiB live, 405.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	4941
1	2541	4697
0	8179	4455
0	598	3149
1	1838	2974
2	6009	2850
0	8596	2659
0	830	4888
1	2582	4588
0	8394	4329

Stop Event

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

Compiler

Compiled 209 to 94 computations (55% saved)

preprocess65.0ms (0.8%)

Memory: -28.3MiB live, 127.0MiB allocated
Compiler: Compiled 744 to 318 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (27.8%)

explain274.0ms (3.4%)

preprocess219.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify162.0ms (2%)

localize129.0ms (1.6%)

series21.0ms (0.3%)

simplify162.0ms (2%)

rewrite200.0ms (2.5%)

eval59.0ms (0.7%)

prune37.0ms (0.5%)

simplify165.0ms (2.1%)

localize279.0ms (3.5%)

series58.0ms (0.7%)

simplify254.0ms (3.2%)

rewrite168.0ms (2.1%)

eval287.0ms (3.6%)

prune76.0ms (1%)

simplify206.0ms (2.6%)

localize338.0ms (4.2%)

series85.0ms (1.1%)

simplify185.0ms (2.3%)

rewrite228.0ms (2.8%)

eval123.0ms (1.5%)

prune59.0ms (0.7%)

simplify144.0ms (1.8%)

localize266.0ms (3.3%)

series32.0ms (0.4%)

simplify179.0ms (2.2%)

rewrite245.0ms (3.1%)

eval111.0ms (1.4%)

prune133.0ms (1.7%)

regimes143.0ms (1.8%)

regimes20.0ms (0.2%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.6%)

soundness604.0ms (7.5%)

preprocess65.0ms (0.8%)

end0.0ms (0%)

Profiling