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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample3.4s (39.5%)

Memory

46.3MiB live, 3 768.3MiB allocated

Samples

1.3s	3 119×	1	valid
920.0ms	2 251×	2	valid
654.0ms	2 886×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-mult: 387.0ms (16.8% of total)

ival-pow2: 356.0ms (15.4% of total)

ival-sub: 324.0ms (14% of total)

ival-add: 322.0ms (13.9% of total)

ival-fabs: 243.0ms (10.5% of total)

adjust: 229.0ms (9.9% of total)

ival-div: 216.0ms (9.4% of total)

ival-sqrt: 209.0ms (9.1% of total)

exact: 13.0ms (0.6% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain341.0ms (4%)

Memory

-1.6MiB live, 546.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
140	0	-	0	-	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
119	1	(-5.432879769211244e+127 1.9139585588673445e-19 8.410964852883467e-99)	1	(-2.00417868677688e+22 -2.3225707631855341e+24 -8.964584480706479e-218)	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	0	-	0	-	`q`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	0	-	0	-	`(-.f64 p r)`
0	0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	0	-	0	-	`(fabs.f64 p)`
0	0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	0	-	0	-	`(fabs.f64 r)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`r`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`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	139	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	139
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	102
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	61
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	119	1
`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	1	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	1
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	60
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	11
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	60

Confusion

	Predicted +	Predicted -
+	194	1
-	1	60

Precision

0.9948717948717949

Recall

0.9948717948717949

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	1	0
-	1	0	60

Precision?

0.9948979591836735

Recall?

1.0

Freqs

test

number	freq
0	61
1	131
2	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	174×	1	valid
50.0ms	146×	2	valid
27.0ms	192×	0	valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-pow2: 17.0ms (19.7% of total)

adjust: 14.0ms (16.2% of total)

ival-sqrt: 13.0ms (15.1% of total)

ival-add: 12.0ms (13.9% of total)

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

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

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

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

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

exact: 1.0ms (1.2% of total)

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

preprocess190.0ms (2.2%)

Memory

-5.1MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	185	180
2	586	180
3	2048	180
4	4928	180
5	7987	180
0	18	20
0	31	20
1	56	20
2	119	20
3	363	20
4	1231	20
5	4092	20
6	6727	20
0	8047	19

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)))))))

Inputs

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

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(.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)))))))

Status

Accuracy

Program

▶

28.3%

(*.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)))))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize84.0ms (1%)

Memory

-15.9MiB live, 144.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.014003759768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	27.00209035381589	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	32.38272943065384	(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))

Samples

35.0ms	73×	2	valid
24.0ms	87×	1	valid
11.0ms	96×	0	valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 9.0ms (22% of total)

adjust: 7.0ms (17.1% of total)

ival-pow2: 7.0ms (17.1% of total)

ival-add: 5.0ms (12.2% of total)

ival-sub: 4.0ms (9.8% of total)

ival-sqrt: 4.0ms (9.8% of total)

ival-div: 2.0ms (4.9% of total)

ival-fabs: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

4 → 79

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	p	@	0	((sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	q	@	0	((sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	r	@	0	((sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	r	@	inf	((sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	p	@	inf	((sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* 4 (pow q 2)) (pow (- p r) 2))

simplify163.0ms (1.9%)

Memory

-13.6MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	1991
1	1470	1876
2	5955	1836
0	8135	1720

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

Calls

Call 1

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

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

rewrite166.0ms (2%)

Memory

17.7MiB live, 269.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
0	25	40
1	111	40
2	881	38
0	8735	36

Stop Event

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

Counts

4 → 232

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 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 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 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 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (.f64 q q) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (pow.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 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 1/4 binary64)) #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 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 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))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 (*.f64 q q) #s(literal 4 binary64))))))
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(+.f64 (.f64 (-.f64 p r) p) (.f64 (-.f64 p r) (neg.f64 r)))
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eval45.0ms (0.5%)

Memory: -27.1MiB live, 91.7MiB allocated
Compiler: Compiled 13 702 to 1 647 computations (88% saved)

prune18.0ms (0.2%)

Memory

5.6MiB live, 45.0MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	289	17	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	17	307

Accuracy

61.6%

Counts

307 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	5.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	20.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
	13.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 p (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))
▶	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	28.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 #s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (.f64 p p))) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
	2.2%	(.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 p r))))
▶	19.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
	37.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	24.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
	23.9%	(.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)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))
	21.6%	(.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 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
▶	20.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
	12.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p)))))
▶	38.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q)))
	5.6%	(.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))))) (neg.f64 r)))
▶	2.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (neg.f64 p)))

Compiler

Compiled 1 084 to 772 computations (28.8% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize230.0ms (2.7%)

Memory

7.1MiB live, 444.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18485128162065376	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
accuracy	0.8198246974732394	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy	26.982385689287145	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
accuracy	31.506322997469855	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	3.0310198855054526	(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)
accuracy	26.295590503068063	(-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))
accuracy	37.062491007298306	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r))
accuracy	0.0078125	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
accuracy	4.696985304958081	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)
accuracy	21.98708067383572	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))
accuracy	26.982385689287145	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0.0	(neg.f64 p)
accuracy	0.0078125	(.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))))) (neg.f64 p)))
accuracy	61.98235032295017	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 p))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal -2 binary64) q)
accuracy	0.0078125	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q)))
accuracy	38.87293192320516	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))

Samples

111.0ms	146×	2	valid
42.0ms	74×	1	valid
31.0ms	32×	3	valid
1.0ms	1×	5	exit
1.0ms	3×	0	valid

Compiler

Compiled 888 to 88 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

adjust: 27.0ms (21.9% of total)

ival-mult: 26.0ms (21% of total)

ival-div: 21.0ms (17% of total)

ival-sub: 16.0ms (12.9% of total)

ival-add: 11.0ms (8.9% of total)

ival-sqrt: 9.0ms (7.3% of total)

ival-pow2: 8.0ms (6.5% of total)

ival-fabs: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series39.0ms (0.5%)

Memory

2.9MiB live, 79.0MiB allocated

Counts

19 → 187

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	p	@	-inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -2 q) (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (* (/ 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 r) (fabs p)) r) (- 1 (/ p r))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (/ (+ (fabs r) (fabs p)) r) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))))
6.0ms	r	@	0	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -2 q) (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (* (/ 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 r) (fabs p)) r) (- 1 (/ p r))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (/ (+ (fabs r) (fabs p)) r) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))))
5.0ms	p	@	0	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -2 q) (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (* (/ 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 r) (fabs p)) r) (- 1 (/ p r))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (/ (+ (fabs r) (fabs p)) r) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))))
3.0ms	p	@	inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -2 q) (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (* (/ 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 r) (fabs p)) r) (- 1 (/ p r))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (/ (+ (fabs r) (fabs p)) r) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))))
3.0ms	r	@	-inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -2 q) (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (- 1 (/ p r)) r) (* (/ 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 r) (fabs p)) r) (- 1 (/ p r))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (/ (+ (fabs r) (fabs p)) r) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))))

simplify161.0ms (1.9%)

Memory

36.2MiB live, 225.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	980	5764
1	3457	5664
0	8751	5258

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 184

Calls

Call 1

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

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

rewrite178.0ms (2.1%)

Memory

-21.8MiB live, 256.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	307
0	72	299
1	292	290
2	2557	290
0	8229	290

Stop Event

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

Counts

19 → 417

Calls

Call 1

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

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

eval96.0ms (1.1%)

Memory: 6.9MiB live, 202.2MiB allocated
Compiler: Compiled 26 840 to 3 058 computations (88.6% saved)

prune32.0ms (0.4%)

Memory

-7.5MiB live, 78.9MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	580	23	603
Fresh	12	0	12
Picked	5	0	5
Done	0	0	0
Total	597	23	620

Accuracy

85.1%

Counts

620 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (neg.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
	3.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	4.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(literal 2 binary64)) (.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))))))
	26.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
	22.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* q q) 4) (pow (- p r) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))))
▶	11.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r)))))
	37.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
	25.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r p))))
▶	42.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 r (/.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) p) #s(literal 1 binary64)) p))))
▶	37.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
	34.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	23.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	22.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	24.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	38.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 884 to 1 226 computations (34.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize172.0ms (2%)

Memory

-2.7MiB live, 341.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	0.05670531971566894	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
accuracy	0.22216810847418422	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
accuracy	0.23798074612783723	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
accuracy	0.0	(fabs.f64 p)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r)))
accuracy	0.16200602711249062	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r))))
accuracy	0.5783144683285963	#s(approx (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r))
accuracy	0.0	(fabs.f64 p)
accuracy	0.00390625	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q)
accuracy	0.0078125	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	0.44046676844828103	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
accuracy	0.0	(neg.f64 q)
accuracy	0.49448260682152234	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
accuracy	0.2467489059039225	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))

Samples

118.0ms	253×	1	exit
1.0ms	3×	0	valid

Compiler

Compiled 1 004 to 122 computations (87.8% saved)

Precisions

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

adjust: 27.0ms (29.8% of total)

ival-mult: 17.0ms (18.8% of total)

ival-div: 13.0ms (14.4% of total)

ival-add: 10.0ms (11.1% of total)

ival-sub: 8.0ms (8.8% of total)

ival-sqrt: 7.0ms (7.7% of total)

ival-pow2: 5.0ms (5.5% of total)

ival-fabs: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

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

series41.0ms (0.5%)

Memory

-5.6MiB live, 69.5MiB allocated

Counts

16 → 207

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	r	@	0	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))))
7.0ms	r	@	-inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))))
6.0ms	p	@	0	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))))
3.0ms	p	@	inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))))
3.0ms	q	@	inf	((- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))) (- (+ (fabs p) (fabs r)) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2)))))) (/ 1 (sqrt (/ 1 (+ (* (* q q) 4) (pow (- p r) 2))))) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))))

simplify215.0ms (2.5%)

Memory

8.0MiB live, 248.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1139	6080
1	4001	5979
0	8183	5581

Stop Event

1×	iter limit
1×	node limit

Counts

207 → 204

Calls

Call 1

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

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

rewrite224.0ms (2.6%)

Memory

-18.0MiB live, 214.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	323
0	88	323
1	426	317
2	4028	285
0	8895	278

Stop Event

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

Counts

16 → 280

Calls

Call 1

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

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

eval258.0ms (3%)

Memory: 23.2MiB live, 228.4MiB allocated
Compiler: Compiled 32 232 to 3 144 computations (90.2% saved)

prune201.0ms (2.4%)

Memory

-21.2MiB live, 92.3MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	575	14	589
Fresh	2	16	18
Picked	3	2	5
Done	0	0	0
Total	580	32	612

Accuracy

85.1%

Counts

612 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (neg.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
	3.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	26.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
	22.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* q q) 4) (pow (- p r) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))))
	11.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r)))))
	25.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r p))))
	14.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (-.f64 (+.f64 (+.f64 p p) r) r))))
▶	19.0%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (fabs.f64 r) r)))))
	12.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) r)))))
	16.4%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) r)))))
✓	42.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
	2.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 r) #s(literal -1 binary64)))) r)))))
▶	30.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r)))))
	13.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p p) (-.f64 (fabs.f64 r) r)))))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 r (/.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) p) #s(literal 1 binary64)) p))))
	32.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	34.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	23.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	21.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1/2 binary64)) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
	20.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
	24.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p)))))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	38.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	37.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))

Compiler

Compiled 2 871 to 1 899 computations (33.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize253.0ms (3%)

Memory

13.8MiB live, 256.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(neg.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))
accuracy	0.0	(neg.f64 p)
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (fabs.f64 r) r))))
accuracy	0.0	#s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (fabs.f64 r) r)))
accuracy	0.0	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r)))))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r))))
accuracy	0.0	#s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	0.0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
accuracy	0.0	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))

Samples

150.0ms	202×	1	exit
39.0ms	54×	0	invalid

Compiler

Compiled 1 021 to 127 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-sub: 30.0ms (21.7% of total)

ival-div: 27.0ms (19.5% of total)

adjust: 21.0ms (15.2% of total)

ival-mult: 17.0ms (12.3% of total)

ival-pow2: 16.0ms (11.6% of total)

ival-add: 12.0ms (8.7% of total)

ival-pow: 4.0ms (2.9% of total)

ival-fabs: 3.0ms (2.2% of total)

ival-sqrt: 3.0ms (2.2% of total)

ival-neg: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series190.0ms (2.2%)

Memory

-7.0MiB live, 31.1MiB allocated

Counts

14 → 145

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
176.0ms	r	@	inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	p	@	0	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	p	@	inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	p	@	-inf	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	r	@	0	((* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fabs p) (fabs r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg p) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))

simplify355.0ms (4.2%)

Memory

18.6MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	639	3870
1	2162	3634
0	8426	3401

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 142

Calls

Call 1

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

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

rewrite336.0ms (3.9%)

Memory

2.8MiB live, 201.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	332
0	84	316
1	392	291
2	3374	291
0	8239	280

Stop Event

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

Counts

14 → 177

Calls

Call 1

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

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

eval148.0ms (1.7%)

Memory: -14.0MiB live, 142.2MiB allocated
Compiler: Compiled 21 424 to 2 177 computations (89.8% saved)

prune45.0ms (0.5%)

Memory

-13.1MiB live, 113.7MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	420	9	429
Fresh	3	22	25
Picked	3	2	5
Done	1	1	2
Total	427	34	461

Accuracy

85.1%

Counts

461 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) #s(approx (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 p r) #s(literal 1 binary64)) r))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	26.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
	22.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* q q) 4) (pow (- p r) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))))
	11.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r)))))
	22.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
	25.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r p))))
	32.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r)))))
	14.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (-.f64 (+.f64 (+.f64 p p) r) r))))
	8.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r))) r)))))
✓	19.0%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (fabs.f64 r) r)))))
	16.4%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) r)))))
	2.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 r) #s(literal -1 binary64)))) r)))))
	13.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p p) (-.f64 (fabs.f64 r) r)))))
	4.5%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1 binary64)) (/.f64 r p) #s(literal 1 binary64)) p))))
	5.6%	(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 r (/.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) p) #s(literal 1 binary64)) p))))
	21.2%	(.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 #s(literal 0 binary64) p))) #s(literal 1/2 binary64))
	32.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
	22.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	34.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
	23.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	24.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	21.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1/2 binary64)) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
	20.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p)))))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	38.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	37.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (neg.f64 q))))

Compiler

Compiled 4 263 to 1 448 computations (66% saved)

regimes123.0ms (1.5%)

Memory

-6.7MiB live, 272.8MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 #s(literal 0 binary64) p))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64) (neg.f64 q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) -1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
(.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))))) (neg.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (neg.f64 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 #s(literal -2 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 q q)) (+.f64 #s(literal 0 binary64) q)))
(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (-.f64 (+.f64 (+.f64 p p) r) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p p) (-.f64 (fabs.f64 r) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) q))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (-.f64 p r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(.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)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (pow (- p r) 2)))) (/.f64 #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 (neg.f64 p) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (pow (- p r) 2)))) (/.f64 #s(literal 1 binary64) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* p p)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p)))))
(.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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p 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)))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (fabs.f64 r) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 r (/.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) p) #s(literal 1 binary64)) p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) #s(literal 1 binary64)) (/.f64 r p) #s(literal 1 binary64)) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 #s(literal 1/2 binary64) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* q q) 4) (pow (- p r) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) (-.f64 #s(literal 1 binary64) (/.f64 p r))) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))) (-.f64 (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r))) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 p r)))) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) #s(approx (neg (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 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)) (sqrt.f64 (+.f64 #s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (.f64 p p))) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (+.f64 r p) (-.f64 p r)) (pow.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1 binary64)) (neg.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) r)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (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 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))) #s(literal 2 binary64)) (.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 1/2 binary64)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* p p)))) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1/2 binary64)) q)) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 p (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))

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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))

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

Calls

7 calls:

22.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
18.0ms	r
17.0ms	q
17.0ms	p
16.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
54.1%	3	`p`
56.4%	3	`r`
74.6%	2	`q`
59.7%	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)))))))`
59.7%	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))))))`
74.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
74.6%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes16.0ms (0.2%)

Memory

-2.4MiB live, 36.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.9%	2	`q`
64.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
64.9%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory

1.3MiB live, 39.9MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	q
4.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
63.6%	2	`q`
63.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.6%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes28.0ms (0.3%)

Memory

23.1MiB live, 65.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

7.0ms	(-.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))))))
4.0ms	q
4.0ms	r
4.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
45.2%	2	`r`
44.9%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
44.9%	2	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
54.7%	2	`q`
54.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
54.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 50 to 51 computations (-2% saved)

regimes16.0ms (0.2%)

Memory

1.4MiB live, 40.8MiB allocated

Accuracy

Total -24.0b remaining (-61.3%)

Threshold costs -24b (-61.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
38.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
38.9%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
38.9%	1	`r`
38.9%	1	`p`
38.9%	1	`q`
38.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.9%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0108211031245754e+22	7.917215022902212e+22

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1988758883400.2795	110735717309853.66

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.954076737464716e-100	5.159007829667048e-96

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.954076737464716e-100	5.159007829667048e-96

Compiler

Compiled 25 to 25 computations (0% saved)

simplify94.0ms (1.1%)

Memory

-30.6MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	320
1	79	320
2	85	320
3	96	320
4	125	320
5	154	320
6	183	320
7	220	320
8	246	320
9	266	320
10	298	320
11	319	320
12	329	320
13	334	320

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000000000 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2000000000000 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (.f64 #s(literal 0 binary64) p))) #s(literal 1/2 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000000000 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000000000 binary64)) (.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r (fabs.f64 r))))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2000000000000 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2000000000000 binary64)) (.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (fma.f64 #s(literal 0 binary64) p (-.f64 (fabs.f64 r) r)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 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))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 r r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) #s(approx (* (- (/ (+ (fabs r) (fabs p)) r) (- 1 (/ p r))) r) (.f64 #s(literal 0 binary64) p))) #s(literal 1/2 binary64)) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness612.0ms (7.2%)

Memory

16.3MiB live, 660.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	332
0	84	316
1	392	291
2	3374	291
0	8239	280
0	980	5764
1	3457	5664
0	8751	5258
0	61	323
0	88	323
1	426	317
2	4028	285
0	8895	278
0	435	1991
1	1470	1876
2	5955	1836
0	8135	1720

Stop Event

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

Compiler

Compiled 740 to 369 computations (50.1% saved)

preprocess50.0ms (0.6%)

Memory: -1.2MiB live, 115.1MiB allocated
Compiler: Compiled 1 020 to 328 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	61	320
1	79	320
2	85	320
3	96	320
4	125	320
5	154	320
6	183	320
7	220	320
8	246	320
9	266	320
10	298	320
11	319	320
12	329	320
13	334	320

Iter	Nodes	Cost
0	61	320
1	79	320
2	85	320
3	96	320
4	125	320
5	154	320
6	183	320
7	220	320
8	246	320
9	266	320
10	298	320
11	319	320
12	329	320
13	334	320

start0.0ms (0%)

analyze0.0ms (0%)

sample3.4s (39.5%)

explain341.0ms (4%)

preprocess190.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize84.0ms (1%)

series12.0ms (0.1%)

simplify163.0ms (1.9%)

rewrite166.0ms (2%)

eval45.0ms (0.5%)

prune18.0ms (0.2%)

simplify0.0ms (0%)

localize230.0ms (2.7%)

series39.0ms (0.5%)

simplify161.0ms (1.9%)

rewrite178.0ms (2.1%)

eval96.0ms (1.1%)

prune32.0ms (0.4%)

simplify0.0ms (0%)

localize172.0ms (2%)

series41.0ms (0.5%)

simplify215.0ms (2.5%)

rewrite224.0ms (2.6%)

eval258.0ms (3%)

prune201.0ms (2.4%)

simplify0.0ms (0%)

localize253.0ms (3%)

series190.0ms (2.2%)

simplify355.0ms (4.2%)

rewrite336.0ms (3.9%)

eval148.0ms (1.7%)

prune45.0ms (0.5%)

regimes123.0ms (1.5%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes28.0ms (0.3%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify94.0ms (1.1%)

soundness612.0ms (7.2%)

preprocess50.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	61	320
1	79	320
2	85	320
3	96	320
4	125	320
5	154	320
6	183	320
7	220	320
8	246	320
9	266	320
10	298	320
11	319	320
12	329	320
13	334	320