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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

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)

sample1.5s (50.6%)

Memory

21.8MiB live, 2 795.6MiB allocated; 313ms collecting garbage

Samples

1.1s	8 251×	0	valid
1.0ms	3×	1	valid
1.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 838.0ms

ival-pow2: 177.0ms (21.1% of total)

ival-mult: 176.0ms (21% of total)

ival-add: 154.0ms (18.4% of total)

ival-fabs: 153.0ms (18.3% of total)

ival-div: 59.0ms (7% of total)

ival-sqrt: 56.0ms (6.7% of total)

ival-sub: 43.0ms (5.1% of total)

exact: 14.0ms (1.7% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain213.0ms (7.4%)

Memory

17.8MiB live, 501.2MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
159	-	-	`(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	-	-	`(.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	153	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	153
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	73
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	109
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	74
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	6	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	6
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	59
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	19
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	59

Confusion

	Predicted +	Predicted -
+	159	0
-	0	97

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	159	0	0
-	0	0	97

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	97
1	159

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	510×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow2: 10.0ms (26.4% of total)

ival-add: 6.0ms (15.8% of total)

ival-mult: 6.0ms (15.8% of total)

ival-fabs: 4.0ms (10.6% of total)

ival-div: 3.0ms (7.9% of total)

ival-sqrt: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

exact: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess230.0ms (7.9%)

Memory

-4.8MiB live, 279.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	224	204
2	733	204
3	3201	204
4	6973	204
0	18	20
0	31	20
1	57	20
2	122	20
3	307	20
4	622	20
5	1253	20
6	6100	20
0	8378	15

Stop Event

1×	iter limit
1×	node limit
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 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 p)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 r))) #s(literal -1 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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

42.5%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

series24.0ms (0.8%)

Memory

10.2MiB live, 56.6MiB allocated; 3ms collecting garbage

Counts

18 → 154

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
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ 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)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ 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)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole 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))))))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
3.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
3.0ms	q	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)

rewrite198.0ms (6.8%)

Memory

7.9MiB live, 286.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	5847
0	772	5667
1	4916	5349
0	8389	4987

Stop Event

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

Counts

172 → 223

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
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ 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)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ 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)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole 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))))))))))

Outputs
(.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 r p)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 r p)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (+.f64 r p) #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 r p) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 r p) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (+.f64 r p) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 r p) (+.f64 r p) (-.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 r p) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 r p))
(+.f64 (+.f64 r p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 p (+.f64 r (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (-.f64 p r))
(/.f64 (fma.f64 (.f64 p p) p (.f64 (.f64 r r) r)) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (.f64 r p))))
(+.f64 r p)
(+.f64 p r)
p
p
r
r
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (.f64 q q) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 q q) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (.f64 q q) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 q q) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 (-.f64 p r))) (exp.f64 (log.f64 (-.f64 p r))) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 (-.f64 p r) (-.f64 p r) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 q q)))
(+.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 p r))) (exp.f64 (log.f64 (-.f64 p r))))
(*.f64 (-.f64 p r) (-.f64 p r))
(pow.f64 (exp.f64 (log.f64 (-.f64 p r))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 p r) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (+.f64 r p))
(/.f64 (-.f64 (.f64 (.f64 p p) p) (.f64 (.f64 r r) r)) (fma.f64 p p (fma.f64 r r (*.f64 r p))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal -1 binary64)))
(-.f64 p r)
(exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 1 binary64)))
(.f64 (.f64 q q) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 q q))
#s(literal 4 binary64)
(*.f64 (exp.f64 (log.f64 q)) (exp.f64 (log.f64 q)))
(*.f64 q q)
(pow.f64 (exp.f64 (log.f64 q)) #s(literal 2 binary64))
(pow.f64 (*.f64 q q) #s(literal 1 binary64))
(pow.f64 q #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 q) #s(literal 2 binary64))))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/2 binary64)) r) p) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 r p)) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/2 binary64)) r) p) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (.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)) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) r) #s(literal -1/2 binary64))) p (.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/2 binary64)) r) p) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 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)))))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) r) #s(literal -1/2 binary64))) p (.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/2 binary64)) r) p) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/2 binary64)) r) p))
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#s(approx (fabs p) p)
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#s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 r r)))
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#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) p)
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
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#s(approx (fabs r) r)
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1 binary64) #s(literal 2 binary64)) q) #s(literal -1 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) r) p) q) #s(literal -1 binary64) #s(literal 2 binary64)) q) #s(literal -1 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 #s(literal -1 binary64) q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/64 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) #s(literal -1 binary64) r) p) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -2 binary64) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 q q)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 q q) #s(literal 3 binary64))) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q))))))

eval53.0ms (1.8%)

Memory: -0.5MiB live, 102.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 8 570 to 1 176 computations (86.3% saved)

prune58.0ms (2%)

Memory

-17.6MiB live, 124.0MiB allocated; 13ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	218	3	221
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	4	222

Accuracy

99.8%

Counts

222 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
▶	54.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64)))))
▶	48.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
▶	34.6%	(.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 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)))

Compiler

Compiled 118 to 91 computations (22.9% saved)

series26.0ms (0.9%)

Memory

17.0MiB live, 63.2MiB allocated; 3ms collecting garbage

Counts

29 → 164

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) #s(hole binary64 (* 2 r)))
#s(approx (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) #s(hole binary64 2))
#s(approx (+ (* (/ p r) -1) (/ (+ r p) r)) #s(hole binary64 1))
#s(approx (/ p r) #s(hole binary64 (/ p r)))
#s(approx p #s(hole binary64 p))
#s(approx (/ (+ r p) r) #s(hole binary64 1))
#s(approx (/ (+ r p) r) #s(hole binary64 (+ 1 (/ p r))))
#s(approx (+ r p) #s(hole binary64 r))
#s(approx (+ r p) #s(hole binary64 (+ p r)))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 r))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (+ r (* -1 p))))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (* -1 r)))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (+ p (* -1 r))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (/ r p))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (/ (+ p (* -1 r)) p)))
#s(approx (/ r p) #s(hole binary64 (/ r p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (/ (+ r p) r) #s(hole binary64 (/ p r)))
#s(approx (/ (+ r p) r) #s(hole binary64 (* p (+ (/ 1 p) (/ 1 r)))))
#s(approx (+ r p) #s(hole binary64 p))
#s(approx (+ r p) #s(hole binary64 (* p (+ 1 (/ r p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (* -1 p)))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 p))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ r p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* p (- (* -1 (/ r p)) 1)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) #s(hole binary64 (+ p (* -1 p))))
#s(approx (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) #s(hole binary64 (+ p (+ (* -1 p) (* 2 r)))))
#s(approx (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) #s(hole binary64 (/ (+ p (* -1 p)) r)))
#s(approx (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) #s(hole binary64 (/ (+ p (+ (* -1 p) (* 2 r))) r)))
#s(approx (+ (* (/ p r) -1) (/ (+ r p) r)) #s(hole binary64 (/ (+ p (* -1 p)) r)))
#s(approx (+ (* (/ p r) -1) (/ (+ r p) r)) #s(hole binary64 (/ (+ p (+ r (* -1 p))) r)))
#s(approx r #s(hole binary64 r))
#s(approx (/ (+ r p) r) #s(hole binary64 (/ (+ p r) r)))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) #s(hole binary64 (* r (+ 2 (+ (* -1 (/ p r)) (/ p r))))))
#s(approx (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) #s(hole binary64 (+ 2 (+ (* -1 (/ p r)) (/ p r)))))
#s(approx (+ (* (/ p r) -1) (/ (+ r p) r)) #s(hole binary64 (+ 1 (+ (* -1 (/ p r)) (/ p r)))))
#s(approx (+ r p) #s(hole binary64 (* r (+ 1 (/ p r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* r (- (/ 1 r) (/ 1 p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) #s(hole binary64 (* -1 (* r (- (+ (* -1 (/ p r)) (/ p r)) 2)))))
#s(approx (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) #s(hole binary64 (+ 2 (* -1 (/ (+ p (* -1 p)) r)))))
#s(approx (+ (* (/ p r) -1) (/ (+ r p) r)) #s(hole binary64 (+ 1 (* -1 (/ (+ p (* -1 p)) r)))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* r (- (* -1 (/ p r)) 1)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (* (* (+ (* (/ r p) -1) 1) p) -1) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (* (+ (* (/ r p) -1) 1) p) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (* r (- (/ 1 p) (/ 1 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ 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)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ 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)))
#s(approx (* q 2) #s(hole binary64 (* 2 q)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole 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))))))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) (+ (* (/ p r) -1) (/ (+ r p) r)) (/ p r) p r -1 (/ (+ r p) r) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) q (* (/ 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)))) (* (* (+ (* (/ r p) -1) 1) p) -1) (* (+ (* (/ r p) -1) 1) p) (+ (* (/ r p) -1) 1) (/ r p))
3.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) (+ (* (/ p r) -1) (/ (+ r p) r)) (/ p r) p r -1 (/ (+ r p) r) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) q (* (/ 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)))) (* (* (+ (* (/ r p) -1) 1) p) -1) (* (+ (* (/ r p) -1) 1) p) (+ (* (/ r p) -1) 1) (/ r p))
3.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) (+ (* (/ p r) -1) (/ (+ r p) r)) (/ p r) p r -1 (/ (+ r p) r) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) q (* (/ 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)))) (* (* (+ (* (/ r p) -1) 1) p) -1) (* (+ (* (/ r p) -1) 1) p) (+ (* (/ r p) -1) 1) (/ r p))
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) (+ (* (/ p r) -1) (/ (+ r p) r)) (/ p r) p r -1 (/ (+ r p) r) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) q (* (/ 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)))) (* (* (+ (* (/ r p) -1) 1) p) -1) (* (+ (* (/ r p) -1) 1) p) (+ (* (/ r p) -1) 1) (/ r p))
2.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) r) (+ (+ (* (/ p r) -1) (/ (+ r p) r)) 1) (+ (* (/ p r) -1) (/ (+ r p) r)) (/ p r) p r -1 (/ (+ r p) r) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) q (* (/ 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)))) (* (* (+ (* (/ r p) -1) 1) p) -1) (* (+ (* (/ r p) -1) 1) p) (+ (* (/ r p) -1) 1) (/ r p))

rewrite185.0ms (6.4%)

Memory

-12.2MiB live, 264.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	6043
0	788	5798
1	4810	5455
0	8616	5130

Stop Event

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

Counts

193 → 270

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)))
(.f64 #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r))
(*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)
(*.f64 r (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)))
(+.f64 r (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) r))
(+.f64 r (*.f64 r (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r))))))
(fma.f64 (/.f64 p r) #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 r p) r) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 p r) (+.f64 (/.f64 (+.f64 r p) r) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 r p) r))
(+.f64 (*.f64 (/.f64 p r) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 r p) r) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 p r) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 r p) r) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 p r) #s(literal -1 binary64)) (/.f64 (+.f64 r p) r)))
(/.f64 (fma.f64 (pow.f64 (/.f64 p r) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 r p) r) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 p r) #s(literal -1 binary64)) (.f64 (/.f64 p r) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 r p) r) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 p r) #s(literal -1 binary64)) (/.f64 (+.f64 r p) r)))))
(fma.f64 #s(literal 0 binary64) (/.f64 p r) (/.f64 r r))
(fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r))
(fma.f64 #s(literal -1 binary64) (/.f64 p r) (/.f64 (+.f64 r p) r))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 p r)) (/.f64 r r))
(+.f64 (*.f64 (/.f64 p r) #s(literal -1 binary64)) (/.f64 (+.f64 r p) r))
(+.f64 (/.f64 (+.f64 r p) r) (*.f64 (/.f64 p r) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) p) (.f64 #s(literal -1 binary64) r))
(/.f64 p r)
p
r
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (pow.f64 (/.f64 r r) #s(literal 2 binary64))) (-.f64 (/.f64 p r) (/.f64 r r)))
(/.f64 (fma.f64 (pow.f64 (/.f64 p r) #s(literal 2 binary64)) (/.f64 p r) (pow.f64 (/.f64 r r) #s(literal 3 binary64))) (fma.f64 (/.f64 p r) (/.f64 p r) (-.f64 (pow.f64 (/.f64 r r) #s(literal 2 binary64)) (*.f64 (/.f64 p r) (/.f64 r r)))))
(/.f64 (neg.f64 (+.f64 r p)) (*.f64 #s(literal -1 binary64) r))
(/.f64 (fma.f64 r p (.f64 r r)) (.f64 r r))
(/.f64 (+.f64 r p) r)
(+.f64 (/.f64 r r) (/.f64 p r))
(+.f64 (/.f64 p r) (/.f64 r r))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (fma.f64 #s(literal -1 binary64) r p))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (fma.f64 #s(literal -1 binary64) p r))
(/.f64 (fma.f64 (.f64 r r) r (.f64 (.f64 p p) p)) (fma.f64 (.f64 #s(literal -1 binary64) r) (.f64 #s(literal -1 binary64) r) (-.f64 (.f64 p p) (*.f64 r p))))
(/.f64 (fma.f64 (.f64 p p) p (.f64 (.f64 r r) r)) (fma.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)) (-.f64 (.f64 r r) (*.f64 r p))))
(+.f64 r p)
(+.f64 p r)
(.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)))
(.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 r p)) (.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 r p)) (.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))))) (-.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (+.f64 r p) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fabs.f64 (+.f64 r p)) (fabs.f64 (+.f64 r p)) (-.f64 (.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64)))) (.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))))
(+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 r p))
(+.f64 (+.f64 r p) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
(+.f64 p (+.f64 r #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (fma.f64 #s(literal -1 binary64) r p))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (fma.f64 #s(literal -1 binary64) p r))
(/.f64 (fma.f64 (.f64 r r) r (.f64 (.f64 p p) p)) (fma.f64 (.f64 #s(literal -1 binary64) r) (.f64 #s(literal -1 binary64) r) (-.f64 (.f64 p p) (*.f64 r p))))
(/.f64 (fma.f64 (.f64 p p) p (.f64 (.f64 r r) r)) (fma.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)) (-.f64 (.f64 r r) (*.f64 r p))))
(+.f64 r p)
(+.f64 p r)
p
r
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(*.f64 q #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) q)
(+.f64 q q)
q
(.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))) (+.f64 r p)))
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (-.f64 (+.f64 (+.f64 r p) p) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) (fma.f64 #s(literal -1 binary64) r p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64))) (.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r p) p) r) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 q q) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 q q) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64))) (.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r p) p) r) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 r p) p) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 (+.f64 r p) (/.f64 (.f64 (.f64 q q) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) r p))) p) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p p) (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 q q)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (*.f64 q q) r)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p p) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 5/2 binary64))) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 q q) (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 q q) r)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 #s(literal -1 binary64) r p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 q q) (fma.f64 #s(literal -1 binary64) r p)) #s(literal 2 binary64) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 q q)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (*.f64 q q) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 q q) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 5/2 binary64))) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 q q) (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 q q) p) r))
#s(approx (* q 2) (*.f64 q #s(literal 2 binary64)))
#s(approx q q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)))) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q #s(literal 2 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 r p) q) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 r p) q)) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 r p) q))) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64))) (*.f64 q q))) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 q q) #s(literal 3 binary64))) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64))) (.f64 q q)))) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) q) #s(literal -1 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 r p))) q) #s(literal -1 binary64) #s(literal 1 binary64)) q) #s(literal -1 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (.f64 #s(literal -1 binary64) q) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/128 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)))) q) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 r p))) q) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1 binary64) #s(literal 2 binary64)) q) #s(literal -1 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) q) r) p) q) #s(literal -1 binary64) #s(literal 2 binary64)) q) #s(literal -1 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 (.f64 #s(literal -1 binary64) q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 q q)) #s(literal -1/64 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)))) q) #s(literal -1 binary64) r) p) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -2 binary64) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64))) (.f64 q q)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 (.f64 #s(literal -1 binary64) q) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 q q) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 q q) #s(literal 3 binary64))) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) r p) #s(literal 2 binary64))) (*.f64 q q))))))

eval38.0ms (1.3%)

Memory: 22.8MiB live, 78.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 12 362 to 1 398 computations (88.7% saved)

prune58.0ms (2%)

Memory

-13.3MiB live, 125.5MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	289	4	293

Accuracy

99.8%

Counts

293 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
✓	54.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64)))))
✓	48.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
✓	34.6%	(.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 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)))

Compiler

Compiled 236 to 141 computations (40.3% saved)

regimes39.0ms (1.3%)

Memory

-34.4MiB live, 33.1MiB allocated; 36ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

Calls

7 calls:

27.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	q
2.0ms	p
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))))))

Results

Accuracy	Segments	Branch
79.8%	4	`(pow.f64 q #s(literal 2 binary64))`
79.8%	4	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
69.9%	3	`(+.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))))))`
69.9%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
76.2%	4	`p`
71.2%	4	`r`
79.8%	4	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes5.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

3 calls:

2.0ms	q
1.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
1.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.6%	2	`(pow.f64 q #s(literal 2 binary64))`
76.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
76.6%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes13.0ms (0.4%)

Memory

-12.1MiB live, 32.6MiB allocated; 4ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

4.0ms	p
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 #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	q

Results

Accuracy	Segments	Branch
62.2%	2	`r`
50.1%	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))))))`
50.1%	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)))))))`
55.0%	2	`p`
61.3%	2	`(pow.f64 q #s(literal 2 binary64))`
61.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
61.3%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes8.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

7 calls:

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	(.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	p
1.0ms	q
1.0ms	r

Results

Accuracy	Segments	Branch
34.6%	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))))))`
34.6%	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)))))))`
34.6%	1	`p`
34.6%	1	`(pow.f64 q #s(literal 2 binary64))`
34.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
34.6%	1	`q`
34.6%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch52.0ms (1.8%)

Memory

2.9MiB live, 95.9MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	8.222726893503123e+107	5.3211386113819814e+113
13.0ms	1.9324963576947935e+67	1.7078546583116924e+68
10.0ms	1.6232900757419414e-14	3.1923437329813976e-14

Samples

31.0ms

304×

valid

Compiler

Compiled 1 106 to 906 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 6.0ms (25.9% of total)

ival-pow2: 5.0ms (21.6% of total)

ival-mult: 3.0ms (12.9% of total)

ival-fabs: 3.0ms (12.9% of total)

ival-div: 2.0ms (8.6% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-sub: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.7%)

Memory

-11.0MiB live, 41.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.437844295186698e-24	3.8057835132094643e-23

Samples

9.0ms

96×

valid

Compiler

Compiled 379 to 312 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 2.0ms (29.4% of total)

ival-div: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

ival-mult: 1.0ms (14.7% of total)

ival-fabs: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

adjust: 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)

exact: 0.0ms (0% of total)

bsearch18.0ms (0.6%)

Memory

-14.9MiB live, 30.5MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.584523374610274e+30	3.8494715151796115e+31

Samples

11.0ms

96×

valid

Compiler

Compiled 403 to 324 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (34% of total)

ival-pow2: 2.0ms (22.7% of total)

ival-div: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

ival-fabs: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

adjust: 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)

exact: 0.0ms (0% of total)

simplify37.0ms (1.3%)

Memory

-6.1MiB live, 39.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	293
1	86	293
2	139	293
3	279	293
4	610	293
5	2749	293

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 4912146075884389/158456325028528675187087900672 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (if (<=.f64 q #s(literal 170000000000000007541295619654067289077089189795192533629535969607680 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))))))) (if (<=.f64 q #s(literal 1900000000000000038524023757623944826157447155814465829196722919267979008131483831520128434152683708103000064 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))))
(if (<=.f64 q #s(literal 6465364971497831/170141183460469231731687303715884105728 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))
(if (<=.f64 r #s(literal 35000000000000000977436846063616 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)))

Outputs
(if (<=.f64 q #s(literal 4912146075884389/158456325028528675187087900672 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (if (<=.f64 q #s(literal 170000000000000007541295619654067289077089189795192533629535969607680 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))))))) (if (<=.f64 q #s(literal 1900000000000000038524023757623944826157447155814465829196722919267979008131483831520128434152683708103000064 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))))
(if (<=.f64 q #s(literal 6465364971497831/170141183460469231731687303715884105728 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))))
(if (<=.f64 r #s(literal 35000000000000000977436846063616 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r)))

derivations72.0ms (2.5%)

Memory

0.9MiB live, 98.0MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 293 to 65 computations (77.8% saved)

preprocess84.0ms (2.9%)

Memory: 0.7MiB live, 141.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 134 to 354 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (50.6%)

explain213.0ms (7.4%)

preprocess230.0ms (7.9%)

eval0.0ms (0%)

prune1.0ms (0%)

series24.0ms (0.8%)

rewrite198.0ms (6.8%)

eval53.0ms (1.8%)

prune58.0ms (2%)

series26.0ms (0.9%)

rewrite185.0ms (6.4%)

eval38.0ms (1.3%)

prune58.0ms (2%)

regimes39.0ms (1.3%)

regimes5.0ms (0.2%)

regimes13.0ms (0.4%)

regimes8.0ms (0.3%)

bsearch52.0ms (1.8%)

bsearch20.0ms (0.7%)

bsearch18.0ms (0.6%)

simplify37.0ms (1.3%)

derivations72.0ms (2.5%)

preprocess84.0ms (2.9%)

end0.0ms (0%)

Profiling