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

start12.0ms (0.2%)

Memory: -40.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.6s (21.9%)

Memory

43.7MiB live, 2 664.5MiB allocated

Samples

1.2s	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 877.0ms

ival-mult: 205.0ms (23.4% of total)

ival-div: 168.0ms (19.2% of total)

ival-pow2: 168.0ms (19.2% of total)

ival-add: 132.0ms (15.1% of total)

ival-fabs: 86.0ms (9.8% of total)

ival-sqrt: 56.0ms (6.4% of total)

ival-sub: 39.0ms (4.4% of total)

exact: 12.0ms (1.4% of total)

ival-true: 6.0ms (0.7% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain473.0ms (6.5%)

Memory

-40.2MiB live, 410.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	149	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	149
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	109
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	67
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	6	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	6
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	61
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	19
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	61

Confusion

	Predicted +	Predicted -
+	155	0
-	0	101

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	155	0	0
-	0	0	101

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	101
1	155

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 317 to 76 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow2: 10.0ms (22.9% of total)

ival-sqrt: 9.0ms (20.6% of total)

ival-add: 7.0ms (16% of total)

ival-mult: 6.0ms (13.7% of total)

ival-fabs: 5.0ms (11.5% of total)

ival-div: 3.0ms (6.9% of total)

ival-sub: 3.0ms (6.9% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess187.0ms (2.6%)

Memory

6.9MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	195	184
2	539	180
3	1521	180
4	3359	180
5	5159	180
6	7226	180
0	18	20
0	31	20
1	50	20
2	85	20
3	155	20
4	282	20
5	664	20
6	1312	20
7	2509	20
8	3098	20
9	3505	20
10	3560	20
11	3560	20
12	3597	20
13	3597	20
14	3599	20
0	3599	19

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (+.f64 (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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	(.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)))))))

Status

Accuracy

Program

▶

44.0%

(*.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)))))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify153.0ms (2.1%)

Memory

-25.4MiB live, 90.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	50	93
2	85	93
3	155	93
4	282	93
5	664	93
6	1312	93
7	2509	93
8	3098	93
9	3505	93
10	3560	93
11	3560	93
12	3597	93
13	3597	93
14	3599	93
0	3599	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.8%)

Memory

-3.2MiB live, 76.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
accuracy	0.01953125	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.025722509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	35.973920957383974	(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

45.0ms

256×

valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 17.0ms (49.4% of total)

ival-pow2: 5.0ms (14.5% of total)

ival-div: 4.0ms (11.6% of total)

ival-mult: 3.0ms (8.7% of total)

ival-fabs: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

7 → 99

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	q	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	p	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
2.0ms	r	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	q	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))
1.0ms	p	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* 4 (pow q 2)) (pow (- p r) 2))

simplify180.0ms (2.5%)

Memory

-22.8MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	2254
1	1419	2118
2	4693	2043
0	8095	1887

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 96

Calls

Call 1

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

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

rewrite193.0ms (2.6%)

Memory

4.8MiB live, 282.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
0	31	57
1	114	57
2	838	57
0	8595	54

Stop Event

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

Counts

7 → 272

Calls

Call 1

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

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

eval52.0ms (0.7%)

Memory: 19.5MiB live, 100.2MiB allocated
Compiler: Compiled 13 792 to 1 808 computations (86.9% saved)

prune30.0ms (0.4%)

Memory

-9.6MiB live, 29.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	355	11	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	11	367

Accuracy

99.7%

Counts

367 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.f64 (fma.f64 (/.f64 r p) (+.f64 (/.f64 r p) #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) q) p) (/.f64 q p) #s(literal 1 binary64))) (*.f64 p p))))))
	47.2%	(.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 #s(literal 2 binary64) q))))
	39.3%	(.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)))) (neg.f64 p))))
▶	57.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
▶	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	33.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	35.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	59.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
▶	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 728 to 556 computations (23.6% saved)

simplify150.0ms (2%)

Memory

8.3MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r)
cost-diff	0	(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
cost-diff	896	(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
cost-diff	0	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
cost-diff	0	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff	0	(neg.f64 q)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
cost-diff	0	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(neg.f64 p)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	1024	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	313
0	63	315
1	126	315
2	252	315
3	594	315
4	1738	297
5	5763	293
0	8126	286

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.7%)

Memory

-3.5MiB live, 155.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r)
accuracy	0.0078125	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
accuracy	6.643562317499632	(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
accuracy	0.00390625	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	10.803847008991072	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
accuracy	33.77058401150399	#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	(*.f64 #s(literal 1/2 binary64) r)
accuracy	58.47164780109134	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy	0	(neg.f64 q)
accuracy	63.20190839519696	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.0078125	(/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p)
accuracy	0.1996991076733508	(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	4.9470905656586215	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

Samples

100.0ms

256×

valid

Compiler

Compiled 603 to 85 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 35.0ms (52.9% of total)

ival-add: 10.0ms (15.1% of total)

ival-div: 7.0ms (10.6% of total)

ival-pow2: 5.0ms (7.6% of total)

ival-fabs: 3.0ms (4.5% of total)

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

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

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

exact: 1.0ms (1.5% of total)

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

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

series49.0ms (0.7%)

Memory

14.7MiB live, 49.3MiB allocated

Counts

18 → 94

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	r	@	inf	((* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (/ (+ (+ (fabs r) r) (fabs p)) p) (- (+ (fabs r) (fabs p)) p))
5.0ms	p	@	-inf	((* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (/ (+ (+ (fabs r) r) (fabs p)) p) (- (+ (fabs r) (fabs p)) p))
4.0ms	r	@	-inf	((* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (/ (+ (+ (fabs r) r) (fabs p)) p) (- (+ (fabs r) (fabs p)) p))
4.0ms	r	@	0	((* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (/ (+ (+ (fabs r) r) (fabs p)) p) (- (+ (fabs r) (fabs p)) p))
4.0ms	p	@	inf	((* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (/ (+ (+ (fabs r) r) (fabs p)) p) (- (+ (fabs r) (fabs p)) p))

simplify216.0ms (2.9%)

Memory

5.2MiB live, 241.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	1755
1	1112	1688
2	3630	1640
0	8099	1548

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

Calls

Call 1

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

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

rewrite236.0ms (3.2%)

Memory

12.9MiB live, 249.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	265
0	63	265
1	284	265
2	2316	265
0	10104	260

Stop Event

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

Counts

18 → 345

Calls

Call 1

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

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

eval65.0ms (0.9%)

Memory: -21.8MiB live, 140.9MiB allocated
Compiler: Compiled 22 072 to 2 256 computations (89.8% saved)

prune20.0ms (0.3%)

Memory

5.7MiB live, 51.7MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	426	7	433
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	429	15	444

Accuracy

99.7%

Counts

444 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.f64 (fma.f64 (/.f64 r p) (+.f64 (/.f64 r p) #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) q) p) (/.f64 q p) #s(literal 1 binary64))) (*.f64 p p))))))
✓	57.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	33.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	35.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	41.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) q))
	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	66.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
	39.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
	47.2%	#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)) q)))
▶	14.0%	#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) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
▶	39.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 075 to 769 computations (28.5% saved)

simplify143.0ms (2%)

Memory

-10.0MiB live, 180.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	438
0	83	438
1	163	438
2	344	436
3	780	436
4	2073	412
5	4747	412
0	8092	405

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.3%)

Memory

3.1MiB live, 280.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.010097509768442016	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	0.01171875	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
accuracy	17.265993967005954	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	30.178039147566242	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))
accuracy	26.495583142267165	#s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	22.18724075443975	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	33.77058401150399	#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) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
accuracy	0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.6179301960236	#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	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
accuracy	0.01171875	(-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p)
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))

Samples

107.0ms

256×

valid

Compiler

Compiled 774 to 117 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 30.0ms (34.5% of total)

ival-sub: 23.0ms (26.4% of total)

ival-add: 13.0ms (14.9% of total)

ival-div: 8.0ms (9.2% of total)

ival-pow2: 5.0ms (5.7% of total)

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

ival-fabs: 2.0ms (2.3% 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)

series57.0ms (0.8%)

Memory

-1.2MiB live, 75.0MiB allocated

Counts

22 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (+ (+ (fabs r) r) (fabs p)) 1/2) (+ (+ (fabs r) r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
6.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (+ (+ (fabs r) r) (fabs p)) 1/2) (+ (+ (fabs r) r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
4.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (+ (+ (fabs r) r) (fabs p)) 1/2) (+ (+ (fabs r) r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (+ (+ (fabs r) r) (fabs p)) 1/2) (+ (+ (fabs r) r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (* (+ (+ (fabs r) r) (fabs p)) 1/2) (+ (+ (fabs r) r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (fabs r) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))

simplify321.0ms (4.4%)

Memory

24.0MiB live, 263.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	3158
1	2026	3069
2	6809	3067
0	8058	2862

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite344.0ms (4.7%)

Memory

-26.7MiB live, 222.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	389
0	83	389
1	370	389
2	3038	389
0	10520	378

Stop Event

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

Counts

22 → 437

Calls

Call 1

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

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

eval174.0ms (2.4%)

Memory: 7.5MiB live, 163.4MiB allocated
Compiler: Compiled 41 220 to 3 490 computations (91.5% saved)

prune87.0ms (1.2%)

Memory

-14.9MiB live, 110.5MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	672	2	674
Fresh	1	5	6
Picked	1	4	5
Done	1	3	4
Total	675	14	689

Accuracy

99.8%

Counts

689 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.f64 (fma.f64 (/.f64 r p) (+.f64 (/.f64 r p) #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) q) p) (/.f64 q p) #s(literal 1 binary64))) (*.f64 p p))))))
✓	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	33.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	35.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	42.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))))
▶	39.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
▶	66.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))))
▶	47.2%	#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)) q)))
✓	14.0%	#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) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
✓	39.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 897 to 637 computations (29% saved)

simplify145.0ms (2%)

Memory

36.1MiB live, 155.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))))
cost-diff	320	(*.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
cost-diff	0	(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 (fabs.f64 r) (fabs.f64 p))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
cost-diff	0	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
cost-diff	0	#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
cost-diff	0	(+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r))
cost-diff	0	(*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	512
0	86	510
1	162	510
2	337	504
3	702	504
4	1847	478
5	6041	478
0	8071	440

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.6%)

Memory

-4.3MiB live, 233.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
accuracy	0.234375	(*.f64 (/.f64 #s(literal 1/8 binary64) q) p)
accuracy	17.265993967005954	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))))
accuracy	24.141236633998844	#s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))))
accuracy	0	(fabs.f64 p)
accuracy	0.0078125	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
accuracy	26.394507275949792	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	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)) q))
accuracy	33.77058401150399	#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)) q)))
accuracy	10.803847008991072	(.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)
accuracy	33.77058401150399	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
accuracy	39.69892821271055	#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64))
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))
accuracy	21.709001773424635	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))))

Samples

163.0ms

256×

valid

Compiler

Compiled 868 to 121 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div: 63.0ms (44.1% of total)

ival-mult: 44.0ms (30.8% of total)

ival-add: 16.0ms (11.2% of total)

ival-sub: 8.0ms (5.6% of total)

ival-pow2: 5.0ms (3.5% of total)

ival-fabs: 3.0ms (2.1% of total)

ival-sqrt: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series32.0ms (0.4%)

Memory

-19.5MiB live, 60.8MiB allocated

Counts

22 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (+ (- (fabs p) p) (+ (fabs r) r)) 1/2) (+ (- (fabs p) p) (+ (fabs r) r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (fabs r) (fabs p)) p) 1/2) (- (+ (fabs r) (fabs p)) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (* (* (/ 1/8 q) p) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2)) (fabs p) (fabs r) (* (/ 1/8 q) p))
4.0ms	q	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (+ (- (fabs p) p) (+ (fabs r) r)) 1/2) (+ (- (fabs p) p) (+ (fabs r) r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (fabs r) (fabs p)) p) 1/2) (- (+ (fabs r) (fabs p)) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (* (* (/ 1/8 q) p) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2)) (fabs p) (fabs r) (* (/ 1/8 q) p))
3.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (+ (- (fabs p) p) (+ (fabs r) r)) 1/2) (+ (- (fabs p) p) (+ (fabs r) r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (fabs r) (fabs p)) p) 1/2) (- (+ (fabs r) (fabs p)) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (* (* (/ 1/8 q) p) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2)) (fabs p) (fabs r) (* (/ 1/8 q) p))
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (+ (- (fabs p) p) (+ (fabs r) r)) 1/2) (+ (- (fabs p) p) (+ (fabs r) r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (fabs r) (fabs p)) p) 1/2) (- (+ (fabs r) (fabs p)) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (* (* (/ 1/8 q) p) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2)) (fabs p) (fabs r) (* (/ 1/8 q) p))
3.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (+ (- (fabs p) p) (+ (fabs r) r)) 1/2) (+ (- (fabs p) p) (+ (fabs r) r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (fabs r) (fabs p)) p) 1/2) (- (+ (fabs r) (fabs p)) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (* (* (/ 1/8 q) p) p) (* (+ (* q 2) (+ (fabs r) (fabs p))) 1/2)) (fabs p) (fabs r) (* (/ 1/8 q) p))

simplify149.0ms (2%)

Memory

14.2MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	437	1935
1	1320	1864
2	4372	1848
0	8198	1728

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite158.0ms (2.2%)

Memory

18.3MiB live, 206.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	453
0	86	453
1	391	453
2	3354	453
0	8723	409

Stop Event

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

Counts

22 → 317

Calls

Call 1

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

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

eval132.0ms (1.8%)

Memory: -10.4MiB live, 155.6MiB allocated
Compiler: Compiled 31 696 to 2 485 computations (92.2% saved)

prune32.0ms (0.4%)

Memory

-12.2MiB live, 75.7MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	516	0	516
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	516	14	530

Accuracy

99.8%

Counts

530 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) ( 4 (pow q 2))) (.f64 (fma.f64 (/.f64 r p) (+.f64 (/.f64 r p) #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) q) p) (/.f64 q p) #s(literal 1 binary64))) (*.f64 p p))))))
✓	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	33.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	35.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	42.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) q) p) p (.f64 (fma.f64 q #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))))
✓	39.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
✓	66.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))))
✓	47.2%	#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)) q)))
✓	14.0%	#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) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
✓	39.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 390 to 574 computations (58.7% saved)

regimes57.0ms (0.8%)

Memory

-8.2MiB live, 68.6MiB allocated

Counts

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

Outputs

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

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

Calls

7 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))))))
6.0ms	q
6.0ms	p
6.0ms	r
6.0ms	(.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
74.0%	3	`p`
73.6%	4	`r`
82.0%	2	`q`
77.9%	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)))))))`
77.9%	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))))))`
81.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
81.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes39.0ms (0.5%)

Memory

0.2MiB live, 39.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

19.0ms	r
3.0ms	q
3.0ms	p
3.0ms	(.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)))))))
3.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
68.3%	3	`r`
67.2%	3	`p`
47.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
47.2%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
63.2%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.2%	3	`(pow.f64 q #s(literal 2 binary64))`
64.8%	4	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	r
3.0ms	p

Results

Accuracy	Segments	Branch
53.5%	2	`p`
63.6%	2	`r`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
47.2%	1	`p`
47.2%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.2%	1	`(pow.f64 q #s(literal 2 binary64))`
47.2%	1	`q`
47.2%	1	`r`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes21.0ms (0.3%)

Memory

-10.4MiB live, 29.6MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

6.0ms	q
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	r
2.0ms	p

Results

Accuracy	Segments	Branch
37.8%	1	`r`
37.8%	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)))))))`
37.8%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
39.7%	2	`p`
40.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
40.7%	2	`(pow.f64 q #s(literal 2 binary64))`
40.8%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory

-0.2MiB live, 37.7MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

3.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	q
2.0ms	p
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
39.5%	2	`p`
37.8%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
37.8%	1	`(pow.f64 q #s(literal 2 binary64))`
37.8%	1	`q`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes16.0ms (0.2%)

Memory

-3.8MiB live, 32.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

4.0ms	q
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms	r
2.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	p

Results

Accuracy	Segments	Branch
12.7%	2	`r`
8.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
8.6%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.6%	1	`q`
8.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.6%	1	`(pow.f64 q #s(literal 2 binary64))`
12.3%	2	`p`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes13.0ms (0.2%)

Memory

-11.3MiB live, 27.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
8.4%	1	`q`
8.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.4%	1	`(pow.f64 q #s(literal 2 binary64))`
8.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
8.4%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.4%	1	`p`
8.4%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes10.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch18.0ms (0.2%)

Memory

-3.8MiB live, 41.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5262857419109254e+154	2.1631958644208997e+155

Samples

12.0ms

96×

valid

Compiler

Compiled 595 to 426 computations (28.4% saved)

Precisions

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

ival-fabs: 3.0ms (32% of total)

ival-pow2: 2.0ms (21.3% of total)

ival-div: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-mult: 1.0ms (10.7% of total)

ival-sqrt: 1.0ms (10.7% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.7%)

Memory

5.7MiB live, 78.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0196288174603025e+52	8.653386144773275e+56
26.0ms	-2.66807938312492e+55	-3.5656774007677536e+40

Samples

34.0ms

288×

valid

Compiler

Compiled 1 707 to 1 228 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (29.6% of total)

ival-pow2: 5.0ms (21.1% of total)

ival-add: 4.0ms (16.9% of total)

ival-fabs: 3.0ms (12.7% of total)

ival-div: 2.0ms (8.5% of total)

ival-sqrt: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0196288174603025e+52	8.653386144773275e+56

Compiler

Compiled 777 to 568 computations (26.9% saved)

bsearch39.0ms (0.5%)

Memory

-29.8MiB live, 61.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	6.778897310417652e-175	2.0810771061860474e-169

Samples

30.0ms

144×

valid

Compiler

Compiled 763 to 564 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow2: 3.0ms (29.3% of total)

ival-add: 2.0ms (19.6% of total)

ival-mult: 2.0ms (19.6% of total)

ival-div: 1.0ms (9.8% of total)

ival-fabs: 1.0ms (9.8% of total)

ival-sub: 1.0ms (9.8% of total)

ival-sqrt: 1.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory

9.0MiB live, 47.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-9.792424284693151e+221	-5.629289502593359e+212

Samples

14.0ms

144×

valid

Compiler

Compiled 601 to 474 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow2: 3.0ms (29% of total)

ival-add: 2.0ms (19.4% of total)

ival-mult: 2.0ms (19.4% of total)

ival-div: 1.0ms (9.7% of total)

ival-fabs: 1.0ms (9.7% of total)

ival-sub: 1.0ms (9.7% of total)

ival-sqrt: 1.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

-20.6MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3612236156347412e+29	3.5827806732093274e+29

Samples

8.0ms

80×

valid

Compiler

Compiled 285 to 244 computations (14.4% saved)

Precisions

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

ival-div: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

ival-mult: 1.0ms (17.6% of total)

ival-fabs: 1.0ms (17.6% of total)

ival-sqrt: 1.0ms (17.6% of total)

ival-pow2: 1.0ms (17.6% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify26.0ms (0.4%)

Memory

20.6MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	621
1	107	621
2	113	621
3	116	621
4	117	621

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 30000000000000002596992077999149708074442698044161351712025842344079018434533586713598801385355171954378807122849480270384655259681852620392002712747638784 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 r #s(literal -1320000000000000017636212165855666387005596348973056 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) (if (<=.f64 r #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))))
(if (<=.f64 r #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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)) q)))
(if (<=.f64 q #s(literal 8974107526632097/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 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) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 p #s(literal -39999999999999998407420222993007079225800189168978169505952472502758689006625439468035058015609975187312386768292132441756863156592837165874871914069881910417353000571308890166766888589287454339878964985551700359118848 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 r #s(literal 139999999999999998561722826752 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 30000000000000002596992077999149708074442698044161351712025842344079018434533586713598801385355171954378807122849480270384655259681852620392002712747638784 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (+.f64 (-.f64 (fabs.f64 p) p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 30000000000000002596992077999149708074442698044161351712025842344079018434533586713598801385355171954378807122849480270384655259681852620392002712747638784 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (+.f64 (+.f64 (fabs.f64 r) r) (-.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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)) q))))
(if (<=.f64 r #s(literal -1320000000000000017636212165855666387005596348973056 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) (if (<=.f64 r #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))))
(if (<=.f64 r #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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)) q)))
(if (<=.f64 q #s(literal 8974107526632097/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 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) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 q #s(literal 8974107526632097/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 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) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 p #s(literal -39999999999999998407420222993007079225800189168978169505952472502758689006625439468035058015609975187312386768292132441756863156592837165874871914069881910417353000571308890166766888589287454339878964985551700359118848 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 r #s(literal 139999999999999998561722826752 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
(if (<=.f64 r #s(literal 139999999999999998561722826752 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 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))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness907.0ms (12.4%)

Memory

-16.1MiB live, 670.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	1755
1	1112	1688
2	3630	1640
0	8099	1548
0	62	389
0	83	389
1	370	389
2	3038	389
0	10520	378
0	448	2254
1	1419	2118
2	4693	2043
0	8095	1887

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

Compiler

Compiled 911 to 342 computations (62.5% saved)

preprocess93.0ms (1.3%)

Memory: 11.0MiB live, 86.9MiB allocated
Compiler: Compiled 1 746 to 396 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start12.0ms (0.2%)

analyze0.0ms (0%)

sample1.6s (21.9%)

explain473.0ms (6.5%)

preprocess187.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (2.1%)

localize59.0ms (0.8%)

series15.0ms (0.2%)

simplify180.0ms (2.5%)

rewrite193.0ms (2.6%)

eval52.0ms (0.7%)

prune30.0ms (0.4%)

simplify150.0ms (2%)

localize126.0ms (1.7%)

series49.0ms (0.7%)

simplify216.0ms (2.9%)

rewrite236.0ms (3.2%)

eval65.0ms (0.9%)

prune20.0ms (0.3%)

simplify143.0ms (2%)

localize172.0ms (2.3%)

series57.0ms (0.8%)

simplify321.0ms (4.4%)

rewrite344.0ms (4.7%)

eval174.0ms (2.4%)

prune87.0ms (1.2%)

simplify145.0ms (2%)

localize194.0ms (2.6%)

series32.0ms (0.4%)

simplify149.0ms (2%)

rewrite158.0ms (2.2%)

eval132.0ms (1.8%)

prune32.0ms (0.4%)

regimes57.0ms (0.8%)

regimes39.0ms (0.5%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes21.0ms (0.3%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch51.0ms (0.7%)

bsearch2.0ms (0%)

bsearch39.0ms (0.5%)

bsearch24.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify26.0ms (0.4%)

soundness907.0ms (12.4%)

preprocess93.0ms (1.3%)

end0.0ms (0%)

Profiling