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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.4s (20%)

Memory

81.8MiB live, 2 456.6MiB allocated

Samples

868.0ms	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 644.0ms

ival-pow2: 152.0ms (23.6% of total)

ival-mult: 110.0ms (17.1% of total)

ival-add: 110.0ms (17.1% of total)

ival-fabs: 80.0ms (12.4% of total)

ival-div: 63.0ms (9.8% of total)

ival-sqrt: 56.0ms (8.7% of total)

ival-sub: 50.0ms (7.8% of total)

exact: 13.0ms (2% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain221.0ms (3.3%)

Memory

29.4MiB live, 451.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
165	-	1	(-4.6186802758252175e-203 -4.47241544021674e-160 -1.3076022560914754e-279)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	0	-	`q`
0	-	0	-	`(-.f64 p r)`
0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	0	-	`(fabs.f64 p)`
0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	0	-	`(fabs.f64 r)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`r`
0	-	0	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	160	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	160
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	83
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	112
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	83
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	4	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	4
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	65
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	16
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	65

Confusion

	Predicted +	Predicted -
+	164	1
-	0	91

Precision

1.0

Recall

0.9939393939393939

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	164	0	1
-	0	0	91

Precision?

1.0

Recall?

0.9939393939393939

Freqs

test

number	freq
0	92
1	164

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow2: 10.0ms (23.5% of total)

ival-div: 8.0ms (18.8% of total)

ival-add: 7.0ms (16.4% of total)

ival-mult: 6.0ms (14.1% of total)

ival-fabs: 5.0ms (11.7% of total)

ival-sub: 3.0ms (7% of total)

ival-sqrt: 3.0ms (7% of total)

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

exact: 1.0ms (2.3% of total)

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

preprocess816.0ms (12%)

Memory

-230.6MiB live, 150.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.6%	(.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

▶

40.6%

(*.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)

simplify63.0ms (0.9%)

Memory

-16.4MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize174.0ms (2.6%)

Memory

-3.4MiB live, 89.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	0.00390625	(*.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	38.1035966231489	(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

163.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

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

ival-mult: 100.0ms (65.5% of total)

ival-sqrt: 37.0ms (24.2% of total)

ival-pow2: 6.0ms (3.9% of total)

ival-add: 3.0ms (2% of total)

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

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

ival-sub: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

7 → 128

Calls

Call 1

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

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

Calls

9 calls:

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

simplify173.0ms (2.6%)

Memory

-8.1MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	3228
1	2113	3014
0	8685	2798

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

Calls

Call 1

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

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

rewrite203.0ms (3%)

Memory

11.7MiB live, 298.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	31	72
1	121	72
2	854	68
0	8530	64

Stop Event

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

Counts

7 → 271

Calls

Call 1

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

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

eval115.0ms (1.7%)

Memory: -3.4MiB live, 153.0MiB allocated
Compiler: Compiled 18 558 to 2 036 computations (89% saved)

prune15.0ms (0.2%)

Memory

-3.4MiB live, 40.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	384	10	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	10	395

Accuracy

99.9%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) r r)))
	46.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)))
	39.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	46.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
	54.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
▶	30.9%	#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)))
▶	59.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
▶	7.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	8.9%	#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 644 to 494 computations (23.3% saved)

simplify103.0ms (1.5%)

Memory

-10.3MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	330
0	69	330
1	143	330
2	366	330
3	1089	330
4	3052	320
0	8468	311

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

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

localize142.0ms (2.1%)

Memory

-8.0MiB live, 180.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 p)
accuracy	0.015625	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
accuracy	14.676218054624819	#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	33.49580188906681	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	12.374855455617455	(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)
accuracy	32.72347230442138	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	59.14763302911165	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy	0.0	(neg.f64 q)
accuracy	63.247232996137065	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.00390625	(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
accuracy	3.7981028384487963	(*.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)))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

Samples

82.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 296 to 44 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 30.0ms (46.9% of total)

ival-mult: 15.0ms (23.4% of total)

ival-div: 5.0ms (7.8% of total)

ival-pow2: 5.0ms (7.8% of total)

ival-sqrt: 3.0ms (4.7% of total)

ival-fabs: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series32.0ms (0.5%)

Memory

19.1MiB live, 65.4MiB allocated

Counts

19 → 145

Calls

Call 1

Inputs
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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))))
(neg.f64 p)
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
(*.f64 q #s(literal 1/2 binary64))
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
(+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r))
(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.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 (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (fabs p) (fabs r)) q)
(* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q))))
(+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* -1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (* 2 q)))) (* (pow p 2) (+ (* (pow p 2) (- (* 1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(+ (fabs p) (+ (fabs r) (* 2 q)))
(+ (fabs p) (+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))))
(+ (fabs p) (+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))))
(+ (fabs r) (* 2 q))
(+ (fabs r) (+ (* 1/4 (/ (pow p 2) q)) (* 2 q)))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q))))))
(+ (fabs r) (+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q))))))
(/ (+ r (+ (fabs p) (fabs r))) p)
(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)))))
(* -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 (+ 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)))))))
(* -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 (* -1/2 (/ (+ (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 (* 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)
(+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(/ (+ (fabs p) (fabs r)) p)
(+ (/ r p) (+ (/ (fabs p) 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 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 (/ (+ (/ (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)))
(* 1/2 q)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) p))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow p 3))) (/ 1 p))))
(+ (* 1/2 (+ p (+ (fabs p) (fabs r)))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))))
(+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))))
(+ p (fabs r))
(+ p (+ (fabs r) (* 2 (/ (pow q 2) p))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p))))))
(+ p (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p))))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow p 4) (pow q 4))) (+ (* 1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))
(* q (+ 2 (/ (fabs r) q)))
(* q (+ 2 (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/4 (/ (pow p 2) (pow q 2))) (/ (fabs r) q)))))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -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
6.0ms	r	@	inf	((* (neg p) (+ (* (/ (+ (+ r (fabs 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) (+ (* (/ (+ (+ r (fabs 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) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))))
5.0ms	p	@	-inf	((* (neg p) (+ (* (/ (+ (+ r (fabs 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) (+ (* (/ (+ (+ r (fabs 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) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))))
4.0ms	p	@	inf	((* (neg p) (+ (* (/ (+ (+ r (fabs 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) (+ (* (/ (+ (+ r (fabs 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) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))))
3.0ms	p	@	0	((* (neg p) (+ (* (/ (+ (+ r (fabs 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) (+ (* (/ (+ (+ r (fabs 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) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))))
3.0ms	r	@	-inf	((* (neg p) (+ (* (/ (+ (+ r (fabs 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) (+ (* (/ (+ (+ r (fabs 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) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (/ (+ (+ r (fabs r)) (fabs p)) p) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))))

simplify154.0ms (2.3%)

Memory

2.3MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	3001
1	2166	2899
0	8503	2708

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 143

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

rewrite178.0ms (2.6%)

Memory

-18.7MiB live, 280.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	274
0	69	274
1	301	274
2	2388	239
0	9040	234

Stop Event

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

Counts

19 → 269

Calls

Call 1

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

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

eval90.0ms (1.3%)

Memory: 33.3MiB live, 125.1MiB allocated
Compiler: Compiled 21 237 to 2 037 computations (90.4% saved)

prune21.0ms (0.3%)

Memory

-6.3MiB live, 47.2MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	392	7	399
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	398	11	409

Accuracy

99.9%

Counts

409 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
	30.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	47.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) q)) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	7.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	48.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	13.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
▶	60.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fma.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p (*.f64 #s(literal 1/2 binary64) r))))
	35.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
▶	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))

Compiler

Compiled 845 to 609 computations (27.9% saved)

simplify152.0ms (2.2%)

Memory

10.5MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	526
0	90	526
1	191	526
2	471	526
3	1322	522
4	3663	495
0	8213	473

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

localize163.0ms (2.4%)

Memory

-14.2MiB live, 326.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
accuracy	0.01171875	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	3.7473215884487963	(fma.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p (*.f64 #s(literal 1/2 binary64) r))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fma.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p (*.f64 #s(literal 1/2 binary64) r))))
accuracy	0.015625	(+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) q)) (fabs.f64 p))
accuracy	7.1203902070722	(*.f64 (+.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) q)
accuracy	14.676218054624819	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) q)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	21.978927256952307	#s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) q) #s(literal 2 binary64)) q))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
accuracy	32.72347230442138	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.28673566964362	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))
accuracy	0.015625	(-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))

Samples

125.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 360 to 57 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 23.0ms (32.2% of total)

ival-add: 23.0ms (32.2% of total)

ival-div: 9.0ms (12.6% of total)

ival-pow2: 5.0ms (7% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

ival-fabs: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series33.0ms (0.5%)

Memory

-19.6MiB live, 73.2MiB allocated

Counts

23 → 142

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (+ (/ (fabs r) q) 2) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (* (neg (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2)) p) (* 1/2 r)) (neg (+ (* (/ (+ (fabs 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) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fabs p) (fabs r) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2) (/ (+ (fabs r) (fabs p)) p))
5.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (+ (/ (fabs r) q) 2) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (* (neg (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2)) p) (* 1/2 r)) (neg (+ (* (/ (+ (fabs 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) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fabs p) (fabs r) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2) (/ (+ (fabs r) (fabs p)) p))
4.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (+ (/ (fabs r) q) 2) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (* (neg (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2)) p) (* 1/2 r)) (neg (+ (* (/ (+ (fabs 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) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fabs p) (fabs r) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2) (/ (+ (fabs r) (fabs p)) p))
3.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (+ (/ (fabs r) q) 2) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (* (neg (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2)) p) (* 1/2 r)) (neg (+ (* (/ (+ (fabs 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) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fabs p) (fabs r) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2) (/ (+ (fabs r) (fabs p)) p))
3.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (+ (fabs r) (fabs p)) (* (+ (/ (fabs r) q) 2) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (* (neg (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2)) p) (* 1/2 r)) (neg (+ (* (/ (+ (fabs 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) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (fabs p) (fabs r) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) 1/2) (/ (+ (fabs r) (fabs p)) p))

simplify167.0ms (2.5%)

Memory

45.3MiB live, 275.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	2761
1	2146	2660
0	8483	2496

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 140

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

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

rewrite200.0ms (2.9%)

Memory

-9.9MiB live, 329.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	467
0	90	467
1	412	467
2	3267	399
0	11203	380

Stop Event

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

Counts

23 → 219

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: -2.2MiB live, 143.6MiB allocated
Compiler: Compiled 27 889 to 2 536 computations (90.9% saved)

prune55.0ms (0.8%)

Memory

-18.5MiB live, 72.3MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	467	8	475
Fresh	1	3	4
Picked	4	1	5
Done	0	2	2
Total	472	14	486

Accuracy

99.9%

Counts

486 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
	41.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (*.f64 (+.f64 (/.f64 r q) #s(literal 2 binary64)) q)) p) #s(literal 1/2 binary64)))
✓	7.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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 (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)))
	48.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))
▶	13.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	29.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 p (+.f64 (+.f64 r r) p)) #s(literal -1/2 binary64))))
	35.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
▶	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))))
▶	64.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))))))
▶	41.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p))))))
	54.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (*.f64 (fma.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) r) #s(literal 1/2 binary64)) r))))

Compiler

Compiled 1 161 to 802 computations (30.9% saved)

simplify101.0ms (1.5%)

Memory

17.1MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	524
0	81	524
1	164	524
2	360	524
3	995	518
4	2960	490
0	8391	470

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

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

localize141.0ms (2.1%)

Memory

16.8MiB live, 208.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 p)
accuracy	0.015625	(-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))
accuracy	0.3288366113376129	#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p)))))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r r) (fabs.f64 p))))))
accuracy	0.0	#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)))))
accuracy	0.01171875	(-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p))
accuracy	22.223578981377027	#s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) #s(approx (- p (+ (+ r (fabs r)) (fabs p))) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p))))))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	22.808242427136772	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	32.72347230442138	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
accuracy	0.0	(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)
accuracy	0.0	(+.f64 r p)
accuracy	22.67507405704914	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q))
accuracy	32.72347230442138	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)))
accuracy	0.0	#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))))
accuracy	0.01171875	(-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))
accuracy	0.01171875	(-.f64 p (+.f64 r (fabs.f64 p)))
accuracy	22.582687509465313	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r)))))

Samples

107.0ms

256×

valid

Compiler

Compiled 326 to 50 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 36.0ms (44.9% of total)

ival-mult: 16.0ms (20% of total)

ival-sub: 10.0ms (12.5% of total)

ival-div: 5.0ms (6.2% of total)

ival-sqrt: 5.0ms (6.2% of total)

ival-pow2: 5.0ms (6.2% of total)

ival-fabs: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series20.0ms (0.3%)

Memory

-15.3MiB live, 28.5MiB allocated

Counts

25 → 111

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p (+ r (fabs p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (+ (+ r r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r r) (fabs p)))) (- p (+ r (fabs p))) (fabs p) (fabs r) (- (- p (fabs r)) (fabs p)) (- p (+ (+ r r) (fabs p))))
2.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p (+ r (fabs p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (+ (+ r r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r r) (fabs p)))) (- p (+ r (fabs p))) (fabs p) (fabs r) (- (- p (fabs r)) (fabs p)) (- p (+ (+ r r) (fabs p))))
2.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p (+ r (fabs p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (+ (+ r r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r r) (fabs p)))) (- p (+ r (fabs p))) (fabs p) (fabs r) (- (- p (fabs r)) (fabs p)) (- p (+ (+ r r) (fabs p))))
2.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p (+ r (fabs p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (+ (+ r r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r r) (fabs p)))) (- p (+ r (fabs p))) (fabs p) (fabs r) (- (- p (fabs r)) (fabs p)) (- p (+ (+ r r) (fabs p))))
2.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- (- p (+ r (fabs p))) (fabs r))) (- (- p (+ r (fabs p))) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ r p) 1/2) q) (+ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (- p (+ (+ r (fabs r)) (fabs p))) (+ (+ r r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* -1/2 (- p (+ (+ r r) (fabs p)))) (- p (+ r (fabs p))) (fabs p) (fabs r) (- (- p (fabs r)) (fabs p)) (- p (+ (+ r r) (fabs p))))

simplify198.0ms (2.9%)

Memory

4.3MiB live, 260.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	1745
1	1430	1658
2	5232	1627
0	8490	1533

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 108

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

rewrite184.0ms (2.7%)

Memory

2.7MiB live, 280.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	487
0	81	488
1	386	488
2	3322	415
0	12963	381

Stop Event

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

Counts

25 → 279

Calls

Call 1

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

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

eval55.0ms (0.8%)

Memory: -32.9MiB live, 109.5MiB allocated
Compiler: Compiled 21 821 to 2 116 computations (90.3% saved)

prune21.0ms (0.3%)

Memory

6.2MiB live, 53.5MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	389	7	396
Fresh	4	2	6
Picked	5	0	5
Done	0	3	3
Total	398	12	410

Accuracy

100.0%

Counts

410 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (/.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) #s(literal -1/2 binary64)) p))
	30.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	7.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	43.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))
	41.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))))
	29.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 #s(literal -1/2 binary64) #s(approx (- p (+ (+ r r) (fabs p))) (.f64 #s(literal -2 binary64) r)))))
	54.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r (fabs r)) (fabs p)))) (*.f64 (fma.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) r) #s(literal 1/2 binary64)) r))))
	64.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r))))
	35.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))
	37.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (*.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64)))))

Compiler

Compiled 2 016 to 595 computations (70.5% saved)

regimes80.0ms (1.2%)

Memory

-18.6MiB live, 136.9MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

28.0ms	(+.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))))))
10.0ms	p
9.0ms	q
8.0ms	r
8.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
88.0%	2	`(pow.f64 q #s(literal 2 binary64))`
88.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
73.1%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
73.1%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
71.8%	3	`p`
74.3%	5	`r`
88.0%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes17.0ms (0.2%)

Memory

3.9MiB live, 49.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(pow.f64 q #s(literal 2 binary64))
5.0ms	q
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
88.0%	2	`(pow.f64 q #s(literal 2 binary64))`
88.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
88.0%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes26.0ms (0.4%)

Memory

39.2MiB live, 39.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	q
7.0ms	(pow.f64 q #s(literal 2 binary64))
7.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.8%	2	`(pow.f64 q #s(literal 2 binary64))`
87.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
87.8%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes18.0ms (0.3%)

Memory

-25.5MiB live, 21.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	q
5.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
5.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.2%	2	`(pow.f64 q #s(literal 2 binary64))`
87.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
87.2%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes25.0ms (0.4%)

Memory

14.8MiB live, 64.7MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(.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)))))))
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms	(pow.f64 q #s(literal 2 binary64))
3.0ms	q
3.0ms	r

Results

Accuracy	Segments	Branch
61.9%	3	`r`
66.2%	3	`p`
47.4%	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))))))`
47.4%	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)))))))`
68.3%	4	`q`
66.5%	3	`(pow.f64 q #s(literal 2 binary64))`
66.5%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory

-25.6MiB live, 20.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	p
2.0ms	q
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
51.1%	3	`p`
62.4%	2	`(pow.f64 q #s(literal 2 binary64))`
62.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
62.4%	2	`q`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes13.0ms (0.2%)

Memory

39.3MiB live, 39.3MiB 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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r 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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q))))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
43.9%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
43.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
46.1%	2	`p`
43.9%	1	`r`
43.9%	1	`(pow.f64 q #s(literal 2 binary64))`
43.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
43.9%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes12.0ms (0.2%)

Memory

-27.9MiB live, 18.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
8.9%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
12.5%	2	`r`
8.9%	1	`(pow.f64 q #s(literal 2 binary64))`
8.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.9%	1	`q`
12.7%	2	`p`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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

2 calls:

1.0ms	r
1.0ms	p

Results

Accuracy	Segments	Branch
8.9%	1	`r`
8.9%	1	`p`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB 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	p
1.0ms	q

Results

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

bsearch24.0ms (0.4%)

Memory

-2.5MiB live, 43.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.0460580548253243e+60	4.325363795596837e+62

Samples

16.0ms

128×

valid

Compiler

Compiled 785 to 568 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 5.0ms (38.9% of total)

ival-pow2: 2.0ms (15.5% of total)

ival-div: 1.0ms (7.8% of total)

ival-mult: 1.0ms (7.8% of total)

ival-fabs: 1.0ms (7.8% of total)

ival-sub: 1.0ms (7.8% of total)

ival-sqrt: 1.0ms (7.8% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0460580548253243e+60	4.325363795596837e+62

Compiler

Compiled 785 to 568 computations (27.6% saved)

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0460580548253243e+60	4.325363795596837e+62

Compiler

Compiled 841 to 584 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.3769498162597646e+120	7.483508785703952e+125

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch45.0ms (0.7%)

Memory

-26.7MiB live, 24.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.0460580548253243e+60	4.325363795596837e+62
13.0ms	1.356543127912212e-65	1.1510677957707232e-64
11.0ms	8.215546662899627e-228	2.265080170470989e-227

Samples

24.0ms

256×

valid

Compiler

Compiled 2 108 to 1 439 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow2: 4.0ms (22.3% of total)

ival-add: 3.0ms (16.7% of total)

ival-mult: 3.0ms (16.7% of total)

ival-div: 2.0ms (11.2% of total)

ival-fabs: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% 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

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0460580548253243e+60	4.325363795596837e+62

Compiler

Compiled 865 to 592 computations (31.6% saved)

bsearch13.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.3650866971521494e+220	-1.3051627450936232e+220

Samples

8.0ms

80×

valid

Compiler

Compiled 400 to 299 computations (25.3% saved)

Precisions

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

ival-div: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

ival-mult: 1.0ms (17.7% of total)

ival-fabs: 1.0ms (17.7% of total)

ival-sqrt: 1.0ms (17.7% of total)

ival-pow2: 1.0ms (17.7% 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)

bsearch20.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.930753262730839e-57	-9.751534053749055e-60

Samples

12.0ms

128×

valid

Compiler

Compiled 441 to 376 computations (14.7% saved)

Precisions

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

ival-add: 2.0ms (22.5% of total)

ival-pow2: 2.0ms (22.5% of total)

ival-div: 1.0ms (11.2% of total)

ival-mult: 1.0ms (11.2% of total)

ival-fabs: 1.0ms (11.2% of total)

ival-sub: 1.0ms (11.2% of total)

ival-sqrt: 1.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify61.0ms (0.9%)

Memory

-27.3MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	904
1	186	904
2	398	904
3	1082	904
4	3174	890
5	7964	890

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 q #s(literal 5974540931860349/426752923704310673541110514606160499017264532628218122265360499952898383220328452577371660855779474607547514277979727388536883305863639365143254787349173122950090085088896931741637010298356097582653761032696742526828207874398493522634488152064 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) (if (<=.f64 q #s(literal 8062834757772801/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64))))) (if (<=.f64 q #s(literal 179999999999999999453170509709082682403171918679384631451582464 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))))
(if (<=.f64 q #s(literal 179999999999999999453170509709082682403171918679384631451582464 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 p #s(literal -18000000000000000939161659349034929339983520799794362606192955152432104949875903868932059922018471851961765423133646471898963747558662070632197043591198069432248676120047773879628232915805753624281483028241773893267750912 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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 p #s(literal -4152090602229203/883423532389192164791648750371459257913741948437809479060803100646309888 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 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 p (+.f64 r (fabs.f64 p))) (fabs.f64 r))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 389999999999999998815202771036345811873539157138666701478428672 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 q #s(literal 5974540931860349/426752923704310673541110514606160499017264532628218122265360499952898383220328452577371660855779474607547514277979727388536883305863639365143254787349173122950090085088896931741637010298356097582653761032696742526828207874398493522634488152064 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) (if (<=.f64 q #s(literal 8062834757772801/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (.f64 (-.f64 p (fabs.f64 p)) #s(literal -1/2 binary64))))) (if (<=.f64 q #s(literal 179999999999999999453170509709082682403171918679384631451582464 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))))
(if (<=.f64 q #s(literal 179999999999999999453170509709082682403171918679384631451582464 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) #s(approx (* -1/2 (- p (+ (+ r r) (fabs p)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 p #s(literal -18000000000000000939161659349034929339983520799794362606192955152432104949875903868932059922018471851961765423133646471898963747558662070632197043591198069432248676120047773879628232915805753624281483028241773893267750912 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)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) #s(approx (+ (* (+ r p) 1/2) q) (fma.f64 #s(literal 1/2 binary64) r q)))))
(if (<=.f64 p #s(literal -4152090602229203/883423532389192164791648750371459257913741948437809479060803100646309888 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))

soundness857.0ms (12.6%)

Memory

10.9MiB live, 642.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	467
0	90	467
1	412	467
2	3267	399
0	11203	380
0	426	1745
1	1430	1658
2	5232	1627
0	8490	1533
0	576	3228
1	2113	3014
0	8685	2798
0	602	3001
1	2166	2899
0	8503	2708
0	599	2761
1	2146	2660
0	8483	2496

Stop Event

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

Compiler

Compiled 1 717 to 762 computations (55.6% saved)

preprocess116.0ms (1.7%)

Memory: 9.8MiB live, 60.1MiB allocated
Compiler: Compiled 2 328 to 444 computations (80.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (20%)

explain221.0ms (3.3%)

preprocess816.0ms (12%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.9%)

localize174.0ms (2.6%)

series17.0ms (0.3%)

simplify173.0ms (2.6%)

rewrite203.0ms (3%)

eval115.0ms (1.7%)

prune15.0ms (0.2%)

simplify103.0ms (1.5%)

localize142.0ms (2.1%)

series32.0ms (0.5%)

simplify154.0ms (2.3%)

rewrite178.0ms (2.6%)

eval90.0ms (1.3%)

prune21.0ms (0.3%)

simplify152.0ms (2.2%)

localize163.0ms (2.4%)

series33.0ms (0.5%)

simplify167.0ms (2.5%)

rewrite200.0ms (2.9%)

eval66.0ms (1%)

prune55.0ms (0.8%)

simplify101.0ms (1.5%)

localize141.0ms (2.1%)

series20.0ms (0.3%)

simplify198.0ms (2.9%)

rewrite184.0ms (2.7%)

eval55.0ms (0.8%)

prune21.0ms (0.3%)

regimes80.0ms (1.2%)

regimes17.0ms (0.2%)

regimes26.0ms (0.4%)

regimes18.0ms (0.3%)

regimes25.0ms (0.4%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.7%)

bsearch2.0ms (0%)

bsearch13.0ms (0.2%)

bsearch20.0ms (0.3%)

simplify61.0ms (0.9%)

soundness857.0ms (12.6%)

preprocess116.0ms (1.7%)

end0.0ms (0%)

Profiling