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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.6s (23.3%)

Memory

16.1MiB live, 2 568.6MiB allocated

Samples

993.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 777.0ms

ival-pow2: 158.0ms (20.3% of total)

ival-add: 127.0ms (16.3% of total)

ival-div: 120.0ms (15.4% of total)

ival-mult: 104.0ms (13.4% of total)

ival-fabs: 98.0ms (12.6% of total)

ival-sqrt: 97.0ms (12.5% of total)

ival-sub: 50.0ms (6.4% of total)

exact: 12.0ms (1.5% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain378.0ms (5.5%)

Memory

-1.1MiB live, 401.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	150	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	150
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	119
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	67
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	150	0
-	0	106

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	150	0	0
-	0	0	106

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	106
1	149
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 43.0ms (56.6% of total)

ival-pow2: 10.0ms (13.2% of total)

ival-add: 7.0ms (9.2% of total)

ival-sqrt: 5.0ms (6.6% of total)

ival-fabs: 4.0ms (5.3% of total)

ival-div: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

preprocess162.0ms (2.4%)

Memory

-1.1MiB live, 92.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	195	184
2	510	184
3	1425	184
4	2416	184
5	3647	184
6	4703	184
7	5751	184
8	6040	184
9	6330	184
10	6647	184
11	6782	184
12	7663	184
0	18	20
0	31	20
1	57	20
2	113	20
3	294	20
4	549	20
5	790	20
6	917	20
7	1179	20
8	1581	20
9	1881	20
10	2041	20
11	2111	20
0	2111	19

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

45.8%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify46.0ms (0.7%)

Memory

11.7MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	57	93
2	113	93
3	294	93
4	549	93
5	790	93
6	917	93
7	1179	93
8	1581	93
9	1881	93
10	2041	93
11	2111	93
0	2111	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.7%)

Memory

6.9MiB live, 97.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.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	0.026386279305326048	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	0.18781777902395197	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
accuracy	34.6831935890813	(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))

Samples

36.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow2: 6.0ms (28.9% of total)

ival-add: 3.0ms (14.4% of total)

ival-mult: 3.0ms (14.4% of total)

ival-div: 2.0ms (9.6% of total)

ival-fabs: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-sub: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

5.5MiB live, 51.4MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

9 calls:

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

simplify265.0ms (3.8%)

Memory

-48.0MiB live, 267.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	3114
1	2036	2904
0	8550	2700

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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

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

rewrite162.0ms (2.3%)

Memory

10.3MiB live, 290.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	67
1	121	67
2	854	63
0	8530	59

Stop Event

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

Counts

6 → 221

Calls

Call 1

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

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

eval55.0ms (0.8%)

Memory: 8.4MiB live, 110.1MiB allocated
Compiler: Compiled 16 412 to 1 658 computations (89.9% saved)

prune13.0ms (0.2%)

Memory

-6.4MiB live, 40.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	326	11	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	11	338

Accuracy

99.8%

Counts

338 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 p (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	33.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	41.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
▶	61.5%	#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) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
	57.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	36.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	59.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
▶	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 718 to 540 computations (24.8% saved)

simplify127.0ms (1.8%)

Memory

-5.0MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	325
0	66	325
1	133	325
2	319	325
3	892	325
4	1953	317
5	4462	313
0	8201	306

Stop Event

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

Calls

Call 1

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

localize134.0ms (1.9%)

Memory

-19.8MiB live, 220.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	0.01171875	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
accuracy	18.58669871077565	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	27.809171354330328	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.015625	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	13.065522206069357	(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)
accuracy	36.14247983849601	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	58.334446904445635	#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	(neg.f64 q)
accuracy	63.2453444892728	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.00390625	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r)
accuracy	7.079669420420633	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
accuracy	19.108494738004744	#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) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))

Samples

107.0ms

256×

valid

Compiler

Compiled 292 to 42 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-pow2: 45.0ms (50.3% of total)

ival-mult: 19.0ms (21.2% of total)

ival-add: 10.0ms (11.2% of total)

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

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

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

ival-fabs: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series35.0ms (0.5%)

Memory

19.2MiB live, 65.1MiB allocated

Counts

19 → 152

Calls

Call 1

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

Outputs
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(/ (+ (fabs p) (fabs r)) r)
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (fabs p) (fabs r)) q)
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ (fabs r) (* 2 q))
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))
(fabs p)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ p r))
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r)))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1 (/ (fabs r) p)))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p)))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 p)
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs 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 (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))
(/ (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)
(/ (- (+ (fabs p) (fabs r)) p) r)
(* 1/2 r)
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 q)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(+ p (fabs r))
(+ p (+ (fabs r) (* 2 (/ (pow q 2) p))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (+ 2 (/ (fabs r) q)))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (fabs r) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1/4 (/ (pow p 2) q))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	p	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
4.0ms	p	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
4.0ms	p	@	0	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))

simplify174.0ms (2.5%)

Memory

-2.6MiB live, 223.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	3080
1	2230	2975
0	8509	2778

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 150

Calls

Call 1

Inputs
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(/ (+ (fabs p) (fabs r)) r)
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (fabs p) (fabs r)) q)
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ (fabs r) (* 2 q))
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))
(fabs p)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* -1 (/ p r))
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r)))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1 (/ (fabs r) p)))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ (fabs r) p)))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 p)
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs 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 (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))
(/ (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)
(/ (- (+ (fabs p) (fabs r)) p) r)
(* 1/2 r)
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 q)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(+ p (fabs r))
(+ p (+ (fabs r) (* 2 (/ (pow q 2) p))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (+ 2 (/ (fabs r) q)))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (fabs r) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1/4 (/ (pow p 2) q))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

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

rewrite155.0ms (2.2%)

Memory

42.8MiB live, 222.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	278
0	66	278
1	291	278
2	2324	246
0	8810	241

Stop Event

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

Counts

19 → 295

Calls

Call 1

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

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

eval69.0ms (1%)

Memory: 6.2MiB live, 94.5MiB allocated
Compiler: Compiled 24 433 to 2 490 computations (89.8% saved)

prune81.0ms (1.2%)

Memory

-6.5MiB live, 98.3MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	463	9	472
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	469	14	483

Accuracy

99.8%

Counts

483 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 p (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	57.1%	#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) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	37.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
	33.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	36.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	9.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r))) #s(literal 1/2 binary64)))
✓	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	43.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	37.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
	41.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
▶	69.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Compiler

Compiled 1 061 to 747 computations (29.6% saved)

simplify134.0ms (2%)

Memory

-5.0MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	445
0	89	445
1	187	445
2	445	445
3	1091	445
4	2355	427
5	5307	427
0	8570	422

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.7%)

Memory

38.9MiB live, 225.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	0.01171875	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) r) (fabs.f64 p))
accuracy	18.58669871077565	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	27.809171354330328	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	18.58669871077565	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r))) #s(literal 1/2 binary64)))
accuracy	40.00543529056695	#s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
accuracy	36.14247983849601	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.507033728576815	#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 p)
accuracy	0.0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))
accuracy	0.18781777902395197	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))
accuracy	19.108494738004744	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Samples

87.0ms

256×

valid

Compiler

Compiled 330 to 53 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 22.0ms (32.5% of total)

ival-add: 19.0ms (28.1% of total)

ival-sqrt: 9.0ms (13.3% of total)

ival-div: 5.0ms (7.4% of total)

ival-pow2: 5.0ms (7.4% of total)

ival-sub: 4.0ms (5.9% of total)

ival-fabs: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series30.0ms (0.4%)

Memory

-13.4MiB live, 30.7MiB allocated

Counts

22 → 201

Calls

Call 1

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

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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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))))))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ r (+ (fabs p) (fabs r))))
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))
(+ r (+ (fabs p) (fabs r)))
(+ r (+ (fabs p) (+ (fabs r) (* -1 p))))
(* -1/2 p)
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ (fabs p) (fabs r))
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ p (+ (fabs p) (fabs r)))
(* 1/2 (+ r (+ (fabs p) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ r (+ (fabs p) (* 2 q)))))
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ r (+ (fabs p) (* 2 q)))
(+ r (+ (fabs p) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ r (* 2 q))
(+ r (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))
(+ r (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ r (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))
(fabs p)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1/2 (* 1/2 (/ (+ r (fabs p)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (/ r p) (/ (fabs p) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p))))))
(* p (+ 1 (/ r p)))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p)))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (fabs p)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (fabs p)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ r (fabs p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -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 4) (pow p 2))) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (+ (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 (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(- (+ (fabs p) (fabs r)) p)
(- (+ r (+ (fabs p) (fabs r))) p)
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ r (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ r (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(fabs r)
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
r
(* r (- (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ p r)))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* r (+ 1 (+ (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (/ (fabs p) r))))
(* r (+ 1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1)))
(* -1 (* r (- (* -1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 1)))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(* 1/2 (+ p (+ r (fabs p))))
(+ (* 1/2 (+ p (+ r (fabs p)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ r (fabs p)))
(+ p (+ r (+ (fabs p) (* 2 (/ (pow q 2) p)))))
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(+ p r)
(+ p (+ r (* 2 (/ (pow q 2) p))))
(+ p (+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))
(+ p (+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (+ 1 (* 1/2 (/ (+ r (fabs p)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q))))))
(* q (+ 2 (+ (/ r q) (/ (fabs p) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q))))))
(* q (+ 2 (/ r q)))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (fabs p)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ r (fabs p)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ r (fabs p)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (fabs p)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ r q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1/4 (/ (pow p 2) q))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	q	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 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)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
2.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 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)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
2.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 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)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
2.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 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)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
2.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 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)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) r) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))

simplify157.0ms (2.3%)

Memory

7.0MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	4062
1	2864	3953
0	8723	3713

Stop Event

1×	iter limit
1×	node limit

Counts

201 → 198

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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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))))))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ r (+ (fabs p) (fabs r))))
(+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))
(+ r (+ (fabs p) (fabs r)))
(+ r (+ (fabs p) (+ (fabs r) (* -1 p))))
(* -1/2 p)
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ (fabs p) (fabs r))
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ p (+ (fabs p) (fabs r)))
(* 1/2 (+ r (+ (fabs p) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ r (+ (fabs p) (* 2 q)))))
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ r (+ (fabs p) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ r (+ (fabs p) (* 2 q)))
(+ r (+ (fabs p) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ r (+ (fabs p) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ r (* 2 q))
(+ r (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))
(+ r (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ r (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))
(fabs p)
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))
(* -1 p)
(* p (- (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (+ 1/2 (* 1/2 (/ (+ r (fabs p)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ r (fabs p)) p)) (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (/ r p) (/ (fabs p) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ r p) (/ (fabs p) p))))))
(* p (+ 1 (/ r p)))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (/ r p)))))
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (fabs p)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (fabs p)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ r (fabs p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -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 4) (pow p 2))) (* 2 (pow q 2))) p))) p)))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* 1/2 (+ (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 (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(- (+ (fabs p) (fabs r)) p)
(- (+ r (+ (fabs p) (fabs r))) p)
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 r) (* 1/2 (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ r (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ r (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(fabs r)
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
r
(* r (- (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ p r)))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r))))
(* r (+ 1 (+ (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) (/ (fabs p) r))))
(* r (+ 1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))) r)) 1)))
(* -1 (* r (- (* -1 (* (/ 1 r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) 1)))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(* 1/2 (+ p (+ r (fabs p))))
(+ (* 1/2 (+ p (+ r (fabs p)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ r (fabs p)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ r (fabs p)))
(+ p (+ r (+ (fabs p) (* 2 (/ (pow q 2) p)))))
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ r (+ (fabs p) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(+ p r)
(+ p (+ r (* 2 (/ (pow q 2) p))))
(+ p (+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))
(+ p (+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (+ 1 (* 1/2 (/ (+ r (fabs p)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ r (fabs p)) q))))))
(* q (+ 2 (+ (/ r q) (/ (fabs p) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ r q) (/ (fabs p) q))))))
(* q (+ 2 (/ r q)))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ r q)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 1 (* -1/2 (/ (+ r (fabs p)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ r (fabs p)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ r (fabs p)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (fabs p)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (+ (fabs p) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ r q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1/4 (/ (pow p 2) q))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ r (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q))) q)))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))

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

rewrite255.0ms (3.7%)

Memory

31.5MiB live, 370.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	400
0	89	400
1	413	400
2	3506	372
0	8597	363

Stop Event

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

Counts

22 → 353

Calls

Call 1

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

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

eval103.0ms (1.5%)

Memory: 39.8MiB live, 183.1MiB allocated
Compiler: Compiled 35 544 to 3 454 computations (90.3% saved)

prune31.0ms (0.5%)

Memory

-16.8MiB live, 82.6MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	661	7	668
Fresh	2	5	7
Picked	2	3	5
Done	0	2	2
Total	665	17	682

Accuracy

99.8%

Counts

682 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 p (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
▶	57.1%	#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) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	32.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	7.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r))) #s(literal 1/2 binary64)))
✓	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	37.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q)))
✓	43.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	37.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) q q)))
▶	36.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))))
	37.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (+.f64 p r))) #s(literal 1/2 binary64))))
▶	41.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
✓	69.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))
	42.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))

Compiler

Compiled 1 292 to 885 computations (31.5% saved)

simplify116.0ms (1.7%)

Memory

27.5MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (fabs.f64 r) p)
cost-diff	0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p 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)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))))
cost-diff	5	(fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p)))
cost-diff	0	(*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r)))
cost-diff	0	(.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 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 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r))) #s(literal 1/2 binary64)))
cost-diff	1	(+.f64 (+.f64 p p) (fabs.f64 r))
cost-diff	0	(+.f64 (fabs.f64 r) p)
cost-diff	0	(fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q)
cost-diff	0	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q)))
cost-diff	0	(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
cost-diff	1	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64)))
cost-diff	1	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	510
0	92	507
1	186	507
2	457	507
3	1305	501
4	2985	477
5	7378	477
0	8042	456

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (4.1%)

Memory

-71.0MiB live, 413.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 r)
accuracy	14.962841794620926	(fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))
accuracy	19.108494738004744	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))))
accuracy	31.58001641766667	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64))))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	19.108494738004744	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
accuracy	26.041569599252288	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64)))
accuracy	0.0	(.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r))) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 r)
accuracy	18.58669871077565	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r))) #s(literal 1/2 binary64)))
accuracy	41.06273075978127	#s(approx (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+.f64 (+.f64 p p) (fabs.f64 r)))
accuracy	0.0	(+.f64 (fabs.f64 r) p)
accuracy	0.0	(fabs.f64 r)
accuracy	21.88931094792416	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q))
accuracy	36.14247983849601	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) q)))
accuracy	0.1484375	(fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))
accuracy	2.8632791858302062	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64)))
accuracy	4.75486697174362	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)
accuracy	25.50258217330278	#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) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))

Samples

70.0ms	129×	0	valid
68.0ms	93×	1	valid
55.0ms	34×	2	valid

Compiler

Compiled 361 to 56 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-add: 48.0ms (35.9% of total)

ival-mult: 32.0ms (24% of total)

adjust: 19.0ms (14.2% of total)

ival-sub: 12.0ms (9% of total)

ival-div: 8.0ms (6% of total)

ival-pow2: 6.0ms (4.5% of total)

ival-sqrt: 5.0ms (3.7% of total)

ival-fabs: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series32.0ms (0.5%)

Memory

-17.7MiB live, 72.7MiB allocated

Counts

23 → 155

Calls

Call 1

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

Outputs
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(+ (* -1/2 p) (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))))
(+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1/2 (/ p r)) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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)) r)
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ q (* 1/2 (fabs r)))
(+ q (+ (* 1/2 p) (* 1/2 (fabs r))))
(fabs r)
(+ p (fabs r))
(+ (fabs r) (* 2 p))
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -1 p)))
(+ (* 1/2 r) (* 1/2 (fabs r)))
(+ (fabs r) (* -1 p))
(fabs p)
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p) 1/2))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (+ (* 1/2 (/ 1 p)) (/ (pow q 2) (* p (pow r 2))))) (* 1/2 (/ 1 r))))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1 (/ p r))
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r)))
(* p (+ 1/2 (+ (* 1/2 (/ (fabs r) p)) (/ q p))))
p
(* p (+ 1 (/ (fabs r) p)))
(* 2 p)
(* p (+ 2 (/ (fabs r) p)))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (/ (fabs r) p) 1))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 (fabs r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (fabs r) p)) 1)))
(* -1 (* p (- (* -1 (/ (fabs r) p)) 2)))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p)))))
(/ (pow q 2) r)
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) r)
(/ (pow q 2) (pow r 2))
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) (pow r 2))
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) (pow r 2))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (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)) p) r)
(+ q (* 1/2 (+ p (fabs r))))
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(- (+ (fabs p) (fabs r)) p)
(+ (* 1/2 p) (* 1/2 (- (fabs r) p)))
(+ (* 1/2 p) (+ (* 1/2 r) (* 1/2 (- (fabs r) p))))
(- (fabs r) p)
(/ (+ (* 1/2 (pow r 2)) (pow q 2)) (pow r 2))
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2)))))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (* 1/2 (/ (- (fabs r) p) r)))))
(+ 1/2 (/ (pow q 2) (pow r 2)))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* -1/2 (- (+ (fabs p) (fabs r)) p))) r)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (* 1/2 (- (fabs r) p))) r)) 1/2)))
(+ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (/ (pow q 2) r))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ p (fabs r)))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(* (pow q 2) (+ (/ 1 r) (/ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (pow q 2))))
(* (pow q 2) (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (* 1/2 (/ (+ p (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* 2 q)
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* (pow q 2) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1/2 (/ (+ p (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	p	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ (fabs r) p) 1/2) q) (+ (fabs r) p) (+ (+ p p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (- (fabs r) p) (+ (* (/ q r) (/ q r)) 1/2) (fabs r) (fabs p))
4.0ms	r	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ (fabs r) p) 1/2) q) (+ (fabs r) p) (+ (+ p p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (- (fabs r) p) (+ (* (/ q r) (/ q r)) 1/2) (fabs r) (fabs p))
3.0ms	r	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ (fabs r) p) 1/2) q) (+ (fabs r) p) (+ (+ p p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (- (fabs r) p) (+ (* (/ q r) (/ q r)) 1/2) (fabs r) (fabs p))
3.0ms	r	@	0	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ (fabs r) p) 1/2) q) (+ (fabs r) p) (+ (+ p p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (- (fabs r) p) (+ (* (/ q r) (/ q r)) 1/2) (fabs r) (fabs p))
3.0ms	p	@	0	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ (fabs r) p) 1/2) q) (+ (fabs r) p) (+ (+ p p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (- (fabs r) p) (+ (* (/ q r) (/ q r)) 1/2) (fabs r) (fabs p))

simplify171.0ms (2.5%)

Memory

33.3MiB live, 217.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	2915
1	2287	2818
0	8608	2643

Stop Event

1×	iter limit
1×	node limit

Counts

155 → 153

Calls

Call 1

Inputs
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(+ (* -1/2 p) (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))))
(+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1/2 (/ p r)) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (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 (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 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 (+ (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)) r)
(+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ q (* 1/2 (fabs r)))
(+ q (+ (* 1/2 p) (* 1/2 (fabs r))))
(fabs r)
(+ p (fabs r))
(+ (fabs r) (* 2 p))
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -1 p)))
(+ (* 1/2 r) (* 1/2 (fabs r)))
(+ (fabs r) (* -1 p))
(fabs p)
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p) 1/2))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (+ (* 1/2 (/ 1 p)) (/ (pow q 2) (* p (pow r 2))))) (* 1/2 (/ 1 r))))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1 (/ p r))
(* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r)))
(* p (+ 1/2 (+ (* 1/2 (/ (fabs r) p)) (/ q p))))
p
(* p (+ 1 (/ (fabs r) p)))
(* 2 p)
(* p (+ 2 (/ (fabs r) p)))
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* -1 (/ (pow q 4) (pow p 4))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* p (+ 1 (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (/ (fabs r) p) 1))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 (fabs r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (fabs r) p)) 1)))
(* -1 (* p (- (* -1 (/ (fabs r) p)) 2)))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow q 4) (pow p 2))) (pow q 2)) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (fabs r) p)))))
(/ (pow q 2) r)
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) r)
(/ (pow q 2) (pow r 2))
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) (pow r 2))
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) (pow r 2))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 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 (+ (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)) p) r)
(+ q (* 1/2 (+ p (fabs r))))
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(- (+ (fabs p) (fabs r)) p)
(+ (* 1/2 p) (* 1/2 (- (fabs r) p)))
(+ (* 1/2 p) (+ (* 1/2 r) (* 1/2 (- (fabs r) p))))
(- (fabs r) p)
(/ (+ (* 1/2 (pow r 2)) (pow q 2)) (pow r 2))
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2)))))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (* 1/2 (/ (- (fabs r) p) r)))))
(+ 1/2 (/ (pow q 2) (pow r 2)))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* -1/2 (- (+ (fabs p) (fabs r)) p))) r)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (* 1/2 (- (fabs r) p))) r)) 1/2)))
(+ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (/ (pow q 2) r))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ p (fabs r)))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(* (pow q 2) (+ (/ 1 r) (/ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (pow q 2))))
(* (pow q 2) (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (* 1/2 (/ (+ p (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* 2 q)
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* (pow q 2) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1/2 (/ (+ p (fabs r)) q)) 1)))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow p 4) (pow q 2))) (* 1/8 (pow p 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -2 q)
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) q)))))
(* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)))))

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

rewrite209.0ms (3%)

Memory

-26.2MiB live, 325.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	454
0	91	447
1	418	447
2	3589	394
0	8438	376

Stop Event

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

Counts

23 → 307

Calls

Call 1

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

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

eval76.0ms (1.1%)

Memory: 29.4MiB live, 219.0MiB allocated
Compiler: Compiled 31 384 to 2 805 computations (91.1% saved)

prune46.0ms (0.7%)

Memory

-21.7MiB live, 71.0MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	581	4	585
Fresh	1	6	7
Picked	3	2	5
Done	0	5	5
Total	585	17	602

Accuracy

99.8%

Counts

602 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 p (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	37.8%	#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) #s(literal 0 binary64)) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	33.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	32.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	39.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(approx (+ (fabs r) p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
✓	43.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	37.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) q q)))
	35.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))) r (.f64 q q)) r)))
✓	36.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))))
✓	41.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
✓	69.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))
	42.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
	37.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r)))))

Compiler

Compiled 2 129 to 733 computations (65.6% saved)

regimes100.0ms (1.5%)

Memory

10.9MiB live, 155.0MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

38.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
12.0ms	r
12.0ms	(.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)))))))
9.0ms	p
9.0ms	q

Results

Accuracy	Segments	Branch
76.1%	3	`p`
73.8%	3	`r`
84.1%	2	`q`
81.3%	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)))))))`
81.3%	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))))))`
83.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
83.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes42.0ms (0.6%)

Memory

-18.0MiB live, 84.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

12.0ms	p
7.0ms	(pow.f64 q #s(literal 2 binary64))
5.0ms	q
5.0ms	r
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
67.4%	3	`r`
69.1%	3	`p`
46.7%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
46.7%	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))))))`
62.7%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
62.7%	3	`(pow.f64 q #s(literal 2 binary64))`
62.7%	3	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes20.0ms (0.3%)

Memory

-4.2MiB live, 43.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.1%	2	`q`
60.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
60.1%	2	`(pow.f64 q #s(literal 2 binary64))`
59.8%	2	`r`
53.1%	2	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes15.0ms (0.2%)

Memory

-11.4MiB live, 35.6MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.8%	2	`r`
57.3%	2	`q`
57.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.3%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes12.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
55.4%	2	`(pow.f64 q #s(literal 2 binary64))`
55.4%	2	`q`
55.5%	2	`r`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes16.0ms (0.2%)

Memory

-7.1MiB live, 40.2MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

3.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	r
2.0ms	q

Results

Accuracy	Segments	Branch
39.0%	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)))))))`
39.0%	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))))))`
39.0%	1	`p`
39.0%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
39.0%	1	`(pow.f64 q #s(literal 2 binary64))`
39.0%	1	`q`
39.0%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes14.0ms (0.2%)

Memory

-6.0MiB live, 43.6MiB allocated

Counts

3 → 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))

Outputs

#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))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
8.9%	1	`q`
8.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.9%	1	`(pow.f64 q #s(literal 2 binary64))`
13.5%	2	`p`
13.7%	2	`r`
8.9%	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)))))))`
8.9%	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))))))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory

-16.4MiB live, 31.3MiB allocated

Counts

2 → 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))

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

Calls

7 calls:

2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms	r
1.0ms	q
1.0ms	p

Results

Accuracy	Segments	Branch
8.6%	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)))))))`
8.6%	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))))))`
8.6%	1	`q`
8.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.6%	1	`(pow.f64 q #s(literal 2 binary64))`
8.6%	1	`p`
8.6%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes9.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

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

Calls

7 calls:

1.0ms	(.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)))))))
1.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms	p
1.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
1.0ms	r

Results

Accuracy	Segments	Branch
1.2%	1	`p`
1.2%	1	`r`
1.2%	1	`q`
1.2%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
1.2%	1	`(pow.f64 q #s(literal 2 binary64))`
1.2%	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)))))))`
1.2%	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))))))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch14.0ms (0.2%)

Memory

-17.3MiB live, 30.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.069010801178216e+166	1.5079735485579655e+167

Samples

8.0ms

80×

valid

Compiler

Compiled 500 to 359 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

ival-mult: 1.0ms (17.5% of total)

ival-fabs: 1.0ms (17.5% of total)

ival-sqrt: 1.0ms (17.5% of total)

ival-pow2: 1.0ms (17.5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch70.0ms (1%)

Memory

-5.3MiB live, 89.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-6.267678665963337e-286	-1.0381708198984372e-299
16.0ms	-6.537170024952278e-64	-3.7281063921188817e-66

Samples

28.0ms

272×

valid

Compiler

Compiled 1 706 to 1 186 computations (30.5% saved)

Precisions

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

ival-add: 5.0ms (24.5% of total)

ival-pow2: 5.0ms (24.5% of total)

ival-mult: 3.0ms (14.7% of total)

ival-fabs: 3.0ms (14.7% of total)

ival-div: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.141782502554186e-70	1.7065920904505096e-68

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch18.0ms (0.3%)

Memory

41.7MiB live, 41.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2439072890609358e+136	1.1301377945138966e+138

Samples

11.0ms

112×

valid

Compiler

Compiled 746 to 514 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 2.0ms (24.3% of total)

ival-pow2: 2.0ms (24.3% of total)

ival-div: 1.0ms (12.1% of total)

ival-mult: 1.0ms (12.1% of total)

ival-fabs: 1.0ms (12.1% of total)

ival-sub: 1.0ms (12.1% of total)

ival-sqrt: 1.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory

-19.8MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.606552058925233e+38	2.2613703240080168e+39

Samples

11.0ms

96×

valid

Compiler

Compiled 655 to 444 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow2: 3.0ms (37.4% of total)

ival-div: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

ival-mult: 1.0ms (12.5% of total)

ival-fabs: 1.0ms (12.5% of total)

ival-sqrt: 1.0ms (12.5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.887974237999774e-55	4.9659287193950784e-55

Samples

5.0ms

48×

valid

Compiler

Compiled 181 to 156 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (28.7% of total)

ival-mult: 1.0ms (28.7% of total)

ival-pow2: 1.0ms (28.7% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify64.0ms (0.9%)

Memory

-18.0MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	99	699
1	175	699
2	365	699
3	971	693
4	2218	651
5	5433	639

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 51999999999999998865212719365518553732626957821007042128324027174318045424616512816214199163874875890709701836620849750952273428101420255739480450584310597652991442944 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 p #s(literal -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64)))) (if (<=.f64 p #s(literal -7917075081641829/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r)))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 r #s(literal 22499999999999999706035204772347400914840113941886513417144734959132402522958987283480980794887388933530722545592122226158322250170761216 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r))))))
(if (<=.f64 r #s(literal 1499999999999999985121613283319091298304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(approx (+ (fabs r) p) (fabs.f64 r)) #s(literal 1/2 binary64) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(approx (+ (fabs r) p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(if (<=.f64 r #s(literal 6763711419854753/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 51999999999999998865212719365518553732626957821007042128324027174318045424616512816214199163874875890709701836620849750952273428101420255739480450584310597652991442944 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 p #s(literal -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64)))) (if (<=.f64 p #s(literal -7917075081641829/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r)))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 r #s(literal 22499999999999999706035204772347400914840113941886513417144734959132402522958987283480980794887388933530722545592122226158322250170761216 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r))))))
(if (<=.f64 r #s(literal 1499999999999999985121613283319091298304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(approx (+ (fabs r) p) (fabs.f64 r)) #s(literal 1/2 binary64) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (+ (* (- (fabs r) p) 1/2) (* (+ p r) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(approx (+ (fabs r) p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(if (<=.f64 r #s(literal 6763711419854753/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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)))))) (neg.f64 q))

soundness1.1s (15.7%)

Memory

3.7MiB live, 820.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	4062
1	2864	3953
0	8723	3713
0	653	2915
1	2287	2818
0	8608	2643
0	620	3080
1	2230	2975
0	8509	2778
0	65	400
0	89	400
1	413	400
2	3506	372
0	8597	363
0	554	3114
1	2036	2904
0	8550	2700

Stop Event

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

Compiler

Compiled 1 060 to 416 computations (60.8% saved)

preprocess96.0ms (1.4%)

Memory: 27.1MiB live, 119.9MiB allocated
Compiler: Compiled 1 914 to 422 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (23.3%)

explain378.0ms (5.5%)

preprocess162.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.7%)

localize46.0ms (0.7%)

series19.0ms (0.3%)

simplify265.0ms (3.8%)

rewrite162.0ms (2.3%)

eval55.0ms (0.8%)

prune13.0ms (0.2%)

simplify127.0ms (1.8%)

localize134.0ms (1.9%)

series35.0ms (0.5%)

simplify174.0ms (2.5%)

rewrite155.0ms (2.2%)

eval69.0ms (1%)

prune81.0ms (1.2%)

simplify134.0ms (2%)

localize114.0ms (1.7%)

series30.0ms (0.4%)

simplify157.0ms (2.3%)

rewrite255.0ms (3.7%)

eval103.0ms (1.5%)

prune31.0ms (0.5%)

simplify116.0ms (1.7%)

localize279.0ms (4.1%)

series32.0ms (0.5%)

simplify171.0ms (2.5%)

rewrite209.0ms (3%)

eval76.0ms (1.1%)

prune46.0ms (0.7%)

regimes100.0ms (1.5%)

regimes42.0ms (0.6%)

regimes20.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch70.0ms (1%)

bsearch1.0ms (0%)

bsearch18.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify64.0ms (0.9%)

soundness1.1s (15.7%)

preprocess96.0ms (1.4%)

end0.0ms (0%)

Profiling